multiple criteria decision analysisprojet_cost/algorithmic... · main topics of the session •...
TRANSCRIPT
![Page 1: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/1.jpg)
Multiple Criteria Decision Analysis 1
Multiple Criteria Decision Analysis— Problems, Models, Methods and Applications
Professor Jian-Bo YangDirector of Decision and Cognitive Sciences Research Centre
Manchester Business School
The University of Manchester
Room: F36 / MBS East
Tel: 0161 200 3427 (Ext: 63427)
Email: [email protected]
Web: www.personal.mbs.ac.uk/jbyang
![Page 2: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/2.jpg)
Multiple Criteria Decision Analysis 2
Main Topics of the Session• Multiple criteria decision analysis – an introduction • Multiple objective optimization problems in real world• Multiple criteria assessment and decision analysis
problems in real world• Decision matrix and MCDA explained in graph• Additive value function approach in MCDA• Deal with uncertainties in MCDA• Evidential reasoning MCDA – concept, model, process
and tool• A snapshot of real world MCDA applications
![Page 3: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/3.jpg)
3
Decision Making at Different Levels(Anthony’s Model, 1965)
(Super-strategic)Strategic Planning
ManagerialControl
OperationalControl
(Tactical)
Multiple Criteria Decision Analysis
![Page 4: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/4.jpg)
4
Decision Issues at Different Levels• Strategic planning
– New business opportunities – Competition strategies– Technology adoption – Strategic partnership
• Managerial control– Financial control– Project control– Quality control– Risk control– HR control
• Operational control – Task scheduling– Production optimization– Coordination– Skill development
Multiple Criteria Decision Analysis
![Page 5: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/5.jpg)
5
Multiple Criteria Decision Making –Typical solution procedure
Events of concern
Necessity for investigation and change
Identify problems, clarify objectives and establish attributes
Construct model, estimate parameters
Alternatives Attribute values
Assessment
Decision
Implementation
Decision environmentand natural states
1. Start investigation
2. Structure problem
3. Build model
4. Assess and analyse
5. Make decision
Preference
Multiple Criteria Decision Analysis
![Page 6: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/6.jpg)
Multiple Criteria Decision Analysis 6
Main Topics of the Session• Multiple criteria decision analysis – what is it? • Multiple objective optimization problems in real world• Multiple criteria assessment and decision analysis
problems in real world• Decision matrix and MCDA explained in graph• Additive value function approach in MCDA• Deal with uncertainties in MCDA• Evidential reasoning MCDA – concept, model, process
and tool• A snapshot of real world MCDA applications
![Page 7: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/7.jpg)
7
Multi-objective optimization in real world – Production planning and scheduling
• Multiple objective optimisation for production planning in oil refinery
• Large scale optimisation methods and software
• Multiple criteria decision analysis
• Automatic model update• Decision support systems
Multiple Criteria Decision Analysis
http://www.astreetjournalist.com/2010/01/11/country%E2%80%99s-biggest-project-under-the-shadow-of-heavy-strike/
![Page 8: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/8.jpg)
8
• Offshore structureso Construction costo Layout optimisation
Multi-objective optimization in real world – Made-to-order engineering product design
Multiple Criteria Decision Analysis
http://www.offshore-technology.com/contractors/pipes/project-materials/project-materials1.html
![Page 9: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/9.jpg)
9
• Offshore structureso Construction costo Layout optimisation
• Optimal ship designo Transportation cost o Light ship masso Annual cargo
Multi-objective optimization in real world – Made-to-order engineering product design
Multiple Criteria Decision Analysis
http://www.istockphoto.com/stock-photo-6151204-cargo-container-ship-entering-the-harbor.php
![Page 10: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/10.jpg)
10
• Offshore structureso Construction costo Layout optimisation
• Optimal ship designo Transportation cost o Light ship masso Annual cargo
• Optimal ferry designo Safety measures
Multi-objective optimization in real world – Made-to-order engineering product design
Multiple Criteria Decision Analysis
http://blogs.seattleweekly.com/dailyweekly/2007/09/
![Page 11: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/11.jpg)
11
Multi-objective optimization in real world – Project portfolio analysis and management
DBA thesis of MBS by Alex Koh in 2011
![Page 12: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/12.jpg)
12
Multi-objective optimization in real world – Project portfolio analysis and management
DBA thesis of MBS by Alex Koh in 2011
![Page 13: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/13.jpg)
Multiple Criteria Decision Analysis 13
Main Topics of the Session• Multiple criteria decision analysis – what is it? • Multiple objective optimization problems in real world• Multiple criteria assessment and decision analysis
problems in real world• Decision matrix and MCDA explained in graph• Additive value function approach in MCDA• Deal with uncertainties in MCDA• Evidential reasoning MCDA – concept, model, process
and tool• A snapshot of real world MCDA applications
![Page 14: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/14.jpg)
14
Multi-Criteria Decision Analysis in real world – Design selection of engineering products
• Offshore structures• Container ship• Cargo ship• Roll-on roll-off ferry• Aircraft• Car• Computer• Motorcycle• house• …
http://rmspkonline.com/
http://www.freefoto.com/preview/806-30-8702?ffid=806-30-8702 http://www.freefoto.com/preview/2026-05-1?ffid=2026-05-1
http://www.lodic.no/?side=1016
http://www.dicts.info/picture-dictionary.php?w=aircraft http://www.sustainabilitymatters.net.au/news/43589-ABB-and-GM-to-collaborate-on-electric-car-battery-research
![Page 15: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/15.jpg)
15
Multi-Criteria Decision Analysis in real world – Risk & safety analysis of products and systems
• Offshore structures• Cargo ship• Container ship• Roll-on roll-off ferry• Nuclear plant• Food and drink• Sea port• Air port• Hospital• …
http://science.howstuffworks.com/environmental/energy/offshore-drilling.htm
http://www.nypost.com/p/news/international/item_U8RbcKY6QO72rVYlKFhABM
http://www.alternavox.net/the-fukushima-nuclear-plant-accident-reaches-category-4
http://xmb.stuffucanuse.com/xmb/viewthread.php?tid=4175
http://www.guardian.co.uk/uk/2008/jan/15/1
![Page 16: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/16.jpg)
16
Multi-Criteria Decision Analysis in real world – Prioritise voices of customer via surveys (GM)
Multiple Criteria Decision Analysis
http://www.carbuyersnotebook.com/2011-chevy-cruze-pictured/ http://news.discovery.com/tech/gm-urban-car-china.html
![Page 17: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/17.jpg)
17
Multi-Criteria Decision Analysis in real world – Prioritise voices of customer using surveys
Survey 1 Survey 2 Survey 31: Disagree Strongly 1: Not Good 1: Unacceptable2: Disagree 2: Good 3: Below Average3: Neutral 3: Very Good 5: Average4: Agree 4: Excellent 7: Good5: Agree Strongly 5: Truly Outstanding 10: Outstanding
Surveys use different rating scales: Limited control if not in-house
Handling incompatibility of rating scales
• Define common scale and create transformation functions
• Define criteria that are independent of scales
SCALE INCOMPATIBILITY IN SURVEYS
![Page 18: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/18.jpg)
18
Multi-Criteria Decision Analysis in real world – Prioritise voices of customer using surveys
Assessment of one VOC
Survey 1Statement 1
Survey 2Statement 1
Survey 3Statement
ImportanceRating (J1)
EvaluationRating (J2)
ImpactRating ?
Position withCompetitors
EvaluationRating (J3)
Position withCompetitors
Survey 4Statement
Position withCompet. (N2)
Position withCompet. (J4)
Top Box(N1)
Bottom 2 Box (N1)
Top 2 Box(N1)
Top Box(N1)
Bottom 2Box (N1)
Top 2 Box(N1)
Survey 1Statement 2
Survey 2Statement 2
Multiple Criteria Decision Analysis
![Page 19: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/19.jpg)
19
Lead
ersh
ip1
Pro
cess
es5
Policy &Strategy
2
Resources4
PeopleSatisfaction
6
CustomerSatisfaction
7
Impact onSociety
8
Enablers Results
Innovation and Learning
Multi-Criteria Decision Analysis in real world – Business excellence self-assessment: EFQM
http://newsweaver.ie/failte_ireland/e_article000969204.cfm?x=bbL71MH,b3TtMJrq,w
http://www.bestpracticeforum.org/business-excellence-awards.aspx
![Page 20: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/20.jpg)
20- Thoroughness +
+ Effort -
•Matrix Chart•Questionnaire
•RapidScore•Beta
•Workbook (9 criteria)•Peer Involvement
•Award Simulation (32 sub-criteria)
•Knowledge Base (174 areas to address)
Multi-Criteria Decision Analysis in real world – Business excellence self-assessment: EFQM
![Page 21: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/21.jpg)
21
EFQM Self-Assessment Model:For total quality management in an organisation
Multiple Criteria Decision Analysis
![Page 22: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/22.jpg)
22
Intelligent Decision System (IDS): Evidence Mapping Window
Multiple Criteria Decision Analysis
![Page 23: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/23.jpg)
23
Quality
Supply Chain Evaluation
Technical Competence evaluation
Total Cost Evaluation
General Factors Evaluation
After Sales Evaluation
Enviroethical
Leadership and Strategy
Project Management
Customer Needs
E - Readiness
Supplier Assessment
Multi-Criteria Decision Analysis in real world – Supplier assessment and selection
Multiple Criteria Decision Analysis
http://www.electricalequipment.co/siemens-process-instrumentation/
http://www.franke-gmbh.com/en/news/detail.php?id=12
![Page 24: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/24.jpg)
24
Supplier Assessment Model (Siemens UK)Question & quantitative answers
6. After Sales Evaluation6.1 Product Support
6.1.6 What is your response time?
Answers:
1> 1 – 2 hours2> 3 – 4 hours3> 5 – 6 hours4> 7 – 8 hours
Multiple Criteria Decision Analysis
![Page 25: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/25.jpg)
25
Supplier Assessment Model (Siemens UK)Question & multiple choice answers
1. Quality1.5 Quality Performance of Supplier
1.5.4 Are quality costs measured, monitored and published?
Answers:
1> No2> Yes, occasionally3> Yes, with improvement plans prioritised4> Yes, with management review done regularly
Multiple Criteria Decision Analysis
![Page 26: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/26.jpg)
26
Supplier Assessment Model (Siemens UK)Question & Yes / No answers
2. Supply Chain Evaluation 2.1Performance Measures
2.1.27 Which of the following criteria are used to measure the performance?
Answers: (Yes / No)
2.1.27.1 Purchase savings2.1.27.2 Availability of stocks2.1.27.3 Number of purchase orders outstanding2.1.27.4 Level of inventory2.1.27.5 Stock turnover2.1.27.6 Standard cost variance
Multiple Criteria Decision Analysis
![Page 27: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/27.jpg)
27
Supplier Assessment Model (Siemens UK)Overall assessment grade (TQM Concept)
Supplier Classification
World Class (ideal)
Award winners (reliable)
Improvers (potential)
Drifters (unfavourable)
Uncommitted (unqualified)
Multiple Criteria Decision Analysis
![Page 28: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/28.jpg)
28
Supplier Assessment Model (Siemens UK)Propagation of quantitative assessment
Response time After Sales Evaluation
1 hour or less (World Class)
3 hours (Award winners)
5 hours (Improvers)
7 hours (Drifters)
8 or above (Uncommitted)
Multiple Criteria Decision Analysis
![Page 29: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/29.jpg)
Multiple Criteria Decision Analysis 29
Main Topics of the Session• Multiple criteria decision analysis – what is it? • Multiple objective optimization problems in real world• Multiple criteria assessment and decision analysis
problems in real world• Decision matrix and MCDA explained in graph• Additive value function approach in MCDA• Deal with uncertainties in MCDA• Evidential reasoning MCDA – concept, model, process
and tool• A snapshot of real world MCDA applications
![Page 30: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/30.jpg)
Page 30
Multi-Criteria Decision AnalysisTraditional problem modelling method
Alternative 1
Attribute 1
Alternative 2
Alternative m
Attribute 2 Attribute n
A11
A21
……
……
Am1
A12
A22
Am2
A1n
A2n
Amn
• Traditional Decision Matrix – Average Point Assessment
It uses average numbers to assess each alternative on all criteria
Multiple Criteria Decision Analysis
![Page 31: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/31.jpg)
31
0
5
10
15
20
25
0 5 10 15 20 25
Profit (Maximising)
Safe
ty (M
axim
isin
g)
A(20, 2)
B(14, 7)
C(11, 9)
D(12, 12)
E(12, 15)F(5, 17)
G(2, 20)
MCDM – Graphic Interpretation forDominated solutions, efficient solution, efficient frontier
Dominated solutions: CWeak efficient solution: DEfficient frontier: A, B, D, E, F, G
Purpose of MCDM:Find the most preferred solution from the set of efficient solutions
Multiple Criteria Decision Analysis
![Page 32: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/32.jpg)
Multiple Criteria Decision Analysis 32
Distance-based Preference ModellingAspiration level models (minimax distance)Reference point models: Set a reference point and find an alternative closest to the reference point in certain distance measure.
0
5
10
15
20
25
0 5 10 15 20 25
Criterion 1 (Maximising)
Crit
erio
n 2
(Max
imis
ing)
A(20, 2)
B(14, 7)
C(11, 9)
D(12, 12)
E(12, 15)F(5, 17)
G(2, 20)
Reference point 1
Reference point 2
![Page 33: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/33.jpg)
Multiple Criteria Decision Analysis 33
Distance-based Preference ModellingIdeal point models (minimax distance)Ideal point models: Set an ideal reference point and find an alternative closest to the ideal point in certain distance measure.
0
5
10
15
20
25
0 5 10 15 20 25
Criterion 1 (Maximising)
Crit
erio
n 2
(Max
imis
ing)
A(20, 2)
B(14, 7)
C(11, 9)
D(12, 12)
E(12, 15)F(5, 17)
G(2, 20)
Reference point
Ideal point
Set criterion weights
![Page 34: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/34.jpg)
Multiple Criteria Decision Analysis 34
Main Topics of the Session• Multiple criteria decision analysis – what is it? • Multiple objective optimization problems in real world• Multiple criteria assessment and decision analysis
problems in real world• Decision matrix and MCDA explained in graph• Additive value function approach in MCDA• Deal with uncertainties in MCDA• Evidential reasoning MCDA – concept, model, process
and tool• A snapshot of real world MCDA applications
![Page 35: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/35.jpg)
35
Additive Value Function ApproachAssessment of postgraduate schools – example 1
Average book (y1, number)
Student / staff (y2, ratio)
Research grant (y3, $,000)
Graduation delayed (y4, %)
School 1 0.1 5 5,000 4.7
School 2 0.2 7 4,000 2.2
School 3 0.6 10 1,260 3.0
School 4 0.3 4 3,000 3.9
School 5 2.8 2 284 1.2
Original Decision Matrix
Multiple Criteria Decision Analysis
![Page 36: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/36.jpg)
Multiple Criteria Decision Analysis 36
Assign Importance Weights by ComparisonsSchool performance assessment example
Comparisons: Suppose the most important criterion of the four criteria for school performance assessment is “research grant”.
1. Compare its importance with each of the other criteria: “Research grant” is twice as important as “books”, ω3/ω1 = 2“Research grant” is 1.5 times as important as “ratio”, ω3/ω2 = 1.5“Research grant” is 3 times as important as “graduation”, ω3/ω4 = 3
Solve the four linear equations:ω3 - 2ω1= 0, ω3 - 1.5ω2= 0 ,ω3 - 3ω4=0, ω1+ω2+ω3+ω4=1
So, the weights of the four criteria are given byω1 =0.2, ω2 =0.2667, ω3 =0.4, ω4 =0.1333
![Page 37: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/37.jpg)
Multiple Criteria Decision Analysis 37
Definition of A Partial Value FunctionDirect assessment via visual aid – v3
![Page 38: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/38.jpg)
Multiple Criteria Decision Analysis 38
Look up Partial Value FunctionTo get values for research grant – v3
284,000 1,260,000
0.142
0.565
![Page 39: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/39.jpg)
Multiple Criteria Decision Analysis 39
Pre-processing Data Collected Transformation of data with optimal intervalConcept: For some criteria neither larger nor smaller is desirable, such as student and staff ratio. A high ratio may lead to the compromise of quality, but a low ratio means low workload for staff. A desirable ratio may be shown in the following diagram
0
0.2
0.4
0.6
0.8
1
1.2
0 2 4 6 8 10 12 14
y
z
![Page 40: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/40.jpg)
40
Additive Value Function ApproachPerformance assessment for postgraduate schools
Average book(ω1=0.2)
Student / staff(ω2=0.2667)
Research grant(ω3=0.4)
Graduation delayed
(ω4=0.1333)
School 1 0.5950 1.0000 1.0000 0.0000School 2 0.6100 0.8333 0.9166 0.7142School 3 0.6700 0.3333 0.5650 0.4857School 4 0.6250 0.6666 0.8333 0.2286School 5 1.0000 0.0000 0.1420 1.0000
Variously-Transformed Decision Matrix with Weights
Multiple Criteria Decision Analysis
![Page 41: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/41.jpg)
Multiple Criteria Decision Analysis 41
Multiple Attribute Value TheoryAdditive value function and conditions required
)()()( )( 2221111
mmm
m
iiii yvyvyvyvv ωωωω +++==∑
=
L
General form of an additive value function is given by:
Conditions for use of Additive MAVF:1. Satisfaction of preferential independence among any groups of
attributes. This is only a necessary condition.
2. Satisfaction of the corresponding trade-off, or Thomsen condition.
3. Interval scale property for constructing marginal value function.
4. Weights of attributes need to be assessed as scaling constants(trade-offs), or swing weights, not necessarily relative importance.
5. Linear & complete compensation among criteria without any limit.
![Page 42: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/42.jpg)
42
Additive Value Function ApproachPerformance assessment for postgraduate schools
zh1
(ω1=0.2)zf
2(ω2=0.2667)
v3(ω3=0.4)
ze4
(ω4=0.1333) ∑ ωi vi Ranking
School 1 0.5950 1.0000 1.0000 0.0000 0.7857 2School 2 0.6100 0.8333 0.9166 0.7142 0.8061 1School 3 0.6700 0.3333 0.5650 0.4857 0.5136 4School 4 0.6250 0.6666 0.8333 0.2286 0.6666 3School 5 1.0000 0.0000 0.1420 1.0000 0.3901 5
Ranking Using Variously-Transformed Decision Matrix
It is useful to conduct sensitivity analysis by changing weights, using different normalisation methods or changing value functions.
Multiple Criteria Decision Analysis
![Page 43: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/43.jpg)
Multiple Criteria Decision Analysis 43
For purchase of MP3 players, suppose three attributes are taken into account: price, memory, and sound quality
MCDA – Value Measurement TheoryPreferential independence – Violation example
MP3-A High price + Large memory
High sound quality
MP3-B Low price + Small memory
High sound quality
Suppose MP3-A is preferred to MP3-B
MP3-C High price + Large memory
Low sound quality
MP3-D Low price + Small memory
Low sound quality
Would MP3-C still be preferred to MP3-D ?
![Page 44: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/44.jpg)
44
0
5
10
15
20
25
0 5 10 15 20 25
Profit (Maximising)
Safe
ty (M
axim
isin
g)
A(20, 2)
B(14, 7)
C(11, 9)
D(12, 12)
E(12, 15)F(5, 17)
G(2, 20)
Limitation or Bias of Additive VFAEfficient frontier: A, B, D, E, F, GEfficient convex hull: A, E, GAdditive VFA cannot find B or F as the most preferred solution
ωsvs+ωpvp=v
Multiple Criteria Decision Analysis
![Page 45: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/45.jpg)
Multiple Criteria Decision Analysis 45
Main Topics of the Session• Multiple criteria decision analysis – what is it? • Multiple objective optimization problems in real world• Multiple criteria assessment and decision analysis
problems in real world• Decision matrix and MCDA explained in graph• Additive value function approach in MCDA• Deal with uncertainties in MCDA• Evidential reasoning MCDA – concept, model, process
and tool• A snapshot of real world MCDA applications
![Page 46: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/46.jpg)
Page 46
Multi-Criteria Decision AnalysisBelief distribution versus average assessment
• The average score of GM-B is about the same as that of GM-A
Multiple Criteria Decision Analysis
• Is GM-B of the same priority to GM as GM-A in future design?
• Frequencies of customer responses from external surveys
![Page 47: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/47.jpg)
Page 47
Multi-Criteria Decision AnalysisBelief decision matrix for problem modelling
• Belief Decision Matrix – Distribution Assessment
1. It can represent precise numbers for all criteria on each alternative
2. It can represent subjective judgements3. It can represent ignorance explicitly
Alternative 1
Attribute 1
Alternative 2
Alternative m
Attribute 2 Attribute n
A11
A21
……
……
Am1
A12
A22
Am2
A1n
A2n
)},( ),...,,( ),,{( 2211 NNmn HHHA βββ=
Multiple Criteria Decision Analysis
![Page 48: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/48.jpg)
Page 48
Multi-Criteria Decision AnalysisBelief decision matrix for problem modelling
House Criteria
House 1 in Altrincham
House 2 in Heaton
House 3 in Mercy
House 4 in Didsbury
Location {(G, 0.5),(E, 0.5)} {(G, 0.5)} {(A, 0.2),
(G, 0.8)}{(G, 0.2),(E, 0.8)}
Distance (mile) 7 5 6 5.5
Asking Price (£) 113,000 110,000 118,000 150,000
Attractive-ness
{(P, 0.05),(G, 0.35),(E, 0.60)}
{(A, 0.4),(G, 0.6)}
{(G, 0.3),(E, 0.7)}
{(G, 0.6),(E, 0.4)}
Multiple Criteria Decision Analysis
![Page 49: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/49.jpg)
Multiple Criteria Decision Analysis 49
Construct Qualitative Value FunctionAssess the location of houses in south Manchester
Grade Definition (list of indicators for collecting evidence)
excellentPleasant surrounding, Excellent neighbours, First class facilities, Very convenient transportation, Excellent schools, and Many shopsaround
Good Good surrounding, Friendly neighbours, Good facilities, Convenienttransportation, Good schools, and A number of shops around
Average Normal surrounding, Ordinary neighbours, Some facilities, Sometransportation, Average schools, and A few shops around
Poor Noisy surrounding, Unfriendly neighbours, Poor facilities, Inconvenient transportation, Poor schools, and Few shops around
Bad Unbearable surrounding, Terrible neighbours, No facilities, Notransportation, No schools, and No shops around
![Page 50: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/50.jpg)
Multiple Criteria Decision Analysis 50
Belief Decision MatrixAssessment based on evidence collected
Assessing the Location of House 1 in Altrincham using the collectedevidence against the agreed assessment standards
![Page 51: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/51.jpg)
Page 51
• From comparing evidence to grading standardsSupplier 1’s performance on Technical Competence{(Excellent, 50%), (Good, 40%), (Poor,10%)}
• Group opinion distributionDeep repository on health risk{(High, 30%), (Medium, 30%), (Low, 40%)}
• Random dataCar fuel consumption in mpg (miles/gallon): {(20mpg, 30%), (22mpg, 30%), (25mpg, 40%)}
Belief Decision MatrixExamples for uncertainty modelling
Multiple Criteria Decision Analysis
![Page 52: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/52.jpg)
Page 52
• Judgments from Experience - Personality Test:
Do you always try to avoid the gaps on pavement?
{(Yes, 20%), (No, 80%)}
• From converting numerical data to gradesIf Excellent=100, Good=75,
then 90={(Excellent, 60%),(Good, 40%)}
Belief Decision MatrixExamples for uncertainty modelling
Multiple Criteria Decision Analysis
![Page 53: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/53.jpg)
Page 53
• Data with ignorance (partial or complete)
Car engine quality assessment:
{(Excellent, 30%), (Good, 50%)}
with unknown 20% ─ Partial ignorance
{(Excellent, 0%), …,(Poor, 0%)}
with unknown 100% ─ Complete ignorance
Belief Decision Matrix Examples for uncertainty modelling
Multiple Criteria Decision Analysis
![Page 54: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/54.jpg)
Page 54
• Data with interval uncertaintiesBelief assigned to an interval of grades:
{(Excellent-Good), 60%), (Good, 40%)}
• Interval belief assessed to individual grades:{(Moderately Negative, 20-30%),
(Neutral, 30-40%), (Positive, 40-50%)}
Multiple Criteria Decision Analysis
Belief Decision Matrix Examples for uncertainty modelling
![Page 55: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/55.jpg)
Multiple Criteria Decision Analysis 55
Main Topics of the Session• Multiple criteria decision analysis – what is it? • Multiple objective optimization problems in real world• Multiple criteria assessment and decision analysis
problems in real world• Decision matrix and MCDA explained in graph• Additive value function approach in MCDA• Deal with uncertainties in MCDA• Evidential reasoning MCDA – concept, model, process
and tool• A snapshot of real world MCDA applications
![Page 56: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/56.jpg)
Page 56
Multi-Criteria Decision AnalysisBelief decision matrix for problem modelling
House Criteria
House 1 in Altrincham
House 2 in Heaton
House 3 in Mercy
House 4 in Didsbury
Location {(G, 0.5),(E, 0.5)} {(G, 0.5)} {(A, 0.2),
(G, 0.8)}{(G, 0.2),(E, 0.8)}
Distance (mile) 7 5 6 5.5
Asking Price (£) 113,000 110,000 118,000 150,000
Attractive-ness
{(P, 0.05),(G, 0.35),(E, 0.60)}
{(A, 0.4),(G, 0.6)}
{(G, 0.3),(E, 0.7)}
{(G, 0.6),(E, 0.4)}
Multiple Criteria Decision Analysis
![Page 57: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/57.jpg)
Multiple Criteria Decision Analysis 57
Evidential Reasoning MCDA Modelling structure and graphic interpretation
Overall Criterion y
Grade H1 Grade Hn Grade HN… …
Sub-Criterion
y1 (ω1)
Sub-Criterion
yi (ωi)
Sub-Criterion ym (ωm)
… …
β11 β1n
β1N
βi1 βin βiN βm1
βmn βmN
β1 βnβN
Combine evidence
Use ER to generate overall belief
![Page 58: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/58.jpg)
Page 58
Evidential Reasoning ApproachFramework and algorithm
Step 1: Construct a belief decision matrix
Step 2: Weight assignment and normalised
Step 3: Convert belief to basic probability mass
Step 4: Combine basic probability mass
Step 5: Generate combined distribution assessment
Step 6: Utility function based alternative ranking
Multiple Criteria Decision Analysis
![Page 59: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/59.jpg)
Multiple Criteria Decision Analysis 59
Directly assigning criterion weightsThe house purchase example
![Page 60: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/60.jpg)
Multiple Criteria Decision Analysis 60
Assigning weights by ComparisonsThe house purchase example
![Page 61: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/61.jpg)
Multiple Criteria Decision Analysis 61
Evidential Reasoning MCDA The evidential reasoning algorithmGeneration of overall belief:βn can be generated by using the following nonlinear evidential reasoning algorithm:
⎥⎦
⎤⎢⎣
⎡−−−+= ∏ ∏
= =
m
i
m
iiiniin k
1 1, )1()1( ωωβωβ
1
11 1, )1()1(
−
== =⎥⎦
⎤⎢⎣
⎡−−−+= ∏∑∏
m
ii
N
n
m
iinii Nk ωωβω
}5...,,1 ),,{( == nHS nn β
![Page 62: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/62.jpg)
Multiple Criteria Decision Analysis 62
An attribute is judgementally independent of other attributesif the assessment of the former does not depend on the assessment of the latter as long as they are fixed.
For example, for purchase of MP3 players, suppose onlytwo attributes price and sound quality are taken into account. It is then commonly accepted that
1 – For any fixed price, high sound quality MP3 is judged to be better2 – For any fixed sound quality, low price MP3 is judged to be better
So, the two attributes price and sound quality are mutually judgementally independent, though they may be correlated.
ER-MCDA and Condition to UseJudgmental independence
![Page 63: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/63.jpg)
63
Buy house – IDS Main InterfaceAssessment hierarchy and alternative houses
Multiple Criteria Decision Analysis
![Page 64: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/64.jpg)
Multiple Criteria Decision Analysis 64
Assess a partial value functionDirect assessment method
The marginal value function of the price
![Page 65: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/65.jpg)
Multiple Criteria Decision Analysis 65
Assess a partial value functionBisection assessment method
The marginal value function of the distance to office
00.10.20.30.40.50.60.70.80.9
1
1 2 3 4 5 6 7 8 9 10
Distance to office (miles)
Valu
e
![Page 66: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/66.jpg)
Multiple Criteria Decision Analysis 66
Example 2: Buy houseAssess value functions for other attributes
![Page 67: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/67.jpg)
Multiple Criteria Decision Analysis 67
Distributed Assessments of Four Houses
0.00%10.00%20.00%30.00%40.00%50.00%60.00%70.00%80.00%90.00%
100.00%
Very PoorBad
AverageGood
Excellent
Belie
f deg
ree
House in Heaton MoorHouse in Heaton Moor
Evaluation grades
0.22%
15.88% 13.50%
70.40%
0.00%0.00%10.00%20.00%30.00%40.00%50.00%60.00%70.00%80.00%90.00%
100.00%
Very PoorBad
AverageGood
Excellent
Belie
f deg
ree
House in AltrinchamHouse in Altrincham
Evaluation grades
9.41%14.42%
2.71%
46.37%
27.08%
0.00%10.00%20.00%30.00%40.00%50.00%60.00%70.00%80.00%90.00%
100.00%
Very PoorBad
AverageGood
Excellent
Belie
f deg
ree
House in Heaton MerseyHouse in Heaton Mersey
Evaluation grades
2.97%
19.92%12.39%
48.70%
16.02%
0.00%10.00%20.00%30.00%40.00%50.00%60.00%70.00%80.00%90.00%
100.00%
Very PoorBad
AverageGood
Excellent
Belie
f deg
ree
House in East DidsburyHouse in East Didsbury
Evaluation grades
14.86%23.77%
9.64%20.24%
31.49%
![Page 68: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/68.jpg)
Multiple Criteria Decision Analysis 68
Rank Order of the Four Houses
![Page 69: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/69.jpg)
69
Sensitivity of the Ranking of Houses
Multiple Criteria Decision Analysis
![Page 70: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/70.jpg)
Multiple Criteria Decision Analysis 70
Main Topics of the Session• Multiple criteria decision analysis – what is it? • Multiple objective optimization problems in real world• Multiple criteria assessment and decision analysis
problems in real world• Decision matrix and MCDA explained in graph• Additive value function approach in MCDA• Deal with uncertainties in MCDA• Evidential reasoning MCDA – concept, model, process
and tool• A snapshot of real world MCDA applications
![Page 71: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/71.jpg)
Multiple Criteria Decision Analysis 71
MCDA Applications in Real WorldExample 3: Motorbike performance assessment hierarchy
J. B. Yang, “Rule and utility based evidential reasoning approach for multiple attribute decision analysis under uncertainty”, European Journal of Operational Research, Vol. 131, No.1, pp.31-61, 2001.
![Page 72: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/72.jpg)
Multiple Criteria Decision Analysis 72
MCDA Applications in Real World Example 4: Organisational quality self-assessment
M. Li and J. B. Yang, “A decision model for self-assessment of business process based on the EFQM excellence model”, International Journal of Quality and Reliability Management, Vol.20, No.2&3, pp.163-187, 2003
![Page 73: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/73.jpg)
Multiple Criteria Decision Analysis 73
MCDA Applications in Real World Example 5: Performance assessment for SME
D. L. Xu and J. B. Yang, “Intelligent decision system for self-assessment”, Journal of Multiple Criteria Decision Analysis, Vol.12, 43-60, 2003.
![Page 74: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/74.jpg)
Multiple Criteria Decision Analysis 74
MCDA Applications in Real World Example 6: Company innovation capability assessment
D. L. Xu, G. McCarthy and J. B. Yang, “Intelligent decision system and its application in business innovative capability assessment”, Decision Support Systems, Vol.42, pp.664-673, 2006.
![Page 75: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/75.jpg)
Multiple Criteria Decision Analysis 75
MCDA Applications in Real World Example 7: R&D project performance assessment
X. B. Liu, M. Zhou, J. B. Yang and S. L. Yang, “Assessment of strategic R&D projects for car manufacturers based on the evidential reasoning approach”, International Journal of Computational Intelligence Systems, Vol.1, 2007.
![Page 76: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/76.jpg)
Multiple Criteria Decision Analysis 76
MCDA Applications in Real World Example 8: Customer satisfaction survey & assessment
![Page 77: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/77.jpg)
Multiple Criteria Decision Analysis 77
MCDA Applications in Real World Example 9: Selection of construction contractors
M Sonmez, G. Graham and J. B. Yang and G D Holt, “Applying evidential reasoning to pre-qualifying construction contractors”, Journal of Management in Engineering, Vol.18, No.3, pp.111-119, 2002.
![Page 78: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/78.jpg)
Multiple Criteria Decision Analysis 78
MCDA Applications in Real WorldExample 10: Company supplier selection
Joanna Teng “Development of a supplier prequalification model for Siemens UK”, MSc Dissertation, Manchester School of Management, UMIST, 2002
![Page 79: Multiple Criteria Decision Analysisprojet_cost/ALGORITHMIC... · Main Topics of the Session • Multiple criteria decision analysis – an introduction • Multiple objective optimization](https://reader033.vdocuments.net/reader033/viewer/2022052016/602e5013f3775d3c575ecb4a/html5/thumbnails/79.jpg)
Multiple Criteria Decision Analysis 79
MCDA Applications in Real World Example 11: Environmental impact assessment
Y. M. Wang, J. B. Yang and D. L. Xu, “Environmental Impact Assessment Using the Evidential Reasoning Approach”, European Journal of Operational Research, Vol.174, No.3, pp.1885-1913, 2006.