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References

Abad, P.L. and Banks, W.J. (1993), “New LP based heuristics for the classification problem”,European Journal of Operational Research, 67, 88–100.

Altman, E.I. (1968), “Financial ratios, discriminant analysis and the prediction of corporatebankruptcy”, Journal of Finance, 23, 589-609.

Altman, E.I. (1993), Corporate Financial Distress and Bankruptcy, John Wiley and Sons,New York.

Altman, E.I. and Saunders, A. (1998), “Credit risk measurement: Developments over the last20 years”, Journal of Banking and Finance, 21, 1721–1742.

Altman, E.I., Avery, R., Eisenbeis, R. and Stinkey, J. (1981), Application of ClassificationTechniques in Business, Banking and Finance, Contemporary Studies in Economic andFinancial Analysis, Vol. 3, JAI Press, Greenwich.

Altman E.I., Hadelman, R.G. and Narayanan, P. (1977), “Zeta analysis: A new model to iden-tify bankruptcy risk of corporations”, Journal of Banking and Finance, 1, 29–51.

Andenmatten, A. (1995), Evaluation du Risque de Défaillance des Emetteurs d’Obligations:Une Approche par l’Aide Multicritère à la Décision, Presses Polytechniques et Universi-taires Romandes, Lausanne.

Anderson, T.W. (1958), An Introduction to Multivariate Statistical Analysis, Wiley, NewYork.

Archer, N.P. and Wang, S. (1993), “Application of the back propagation neural networksalgorithm with monotonicity constraints for two-group classification problems”, Deci-sion Sciences, 24, 60-75.

Bajgier, S.M. and Hill, A.V. (1982), “A comparison of statistical and linear programmingapproaches to the discriminant problem”, Decision Sciences, 13, 604–618.

Bana e Costa, C.A. and Vansnick, J.C. (1994), “MACBETH: An interactive path towards theconstruction of cardinal value functions”, International Transactions on Operations Re-search, 1, 489-500.

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Subject index

Arbitrage pricing theory, 206Bankruptcy prediction, 6, 161-163Bayes rule, 20, 68, 70C4.5, 28-29Bond rating, 160Capital asset pricing model, 206Capital losses, 223Classification error rate, 82, 84-88Clustering, 5Coefficient of variation, 216-217Compensatory approaches, 125,

149Consistent family of criteria, 42-

43Consistency, 99Correlation coefficient, 129,166,

191Country risk, 6,161Credit granting, 58, 185-188Credit risk assessment, 6, 13, 185-

188Decision problematics, 1-3Decision rules, 27-28, 31, 34-37Decision trees, 28Decision support systems, 41, 49,

78,187Default risk, 161, 186Degeneracy, 97Descriptive statistics, 166, 191,

213Discriminant analysis

Linear, 16-18Quadratic, 18-19

Discriminant functionLinear, 16Quadratic, 18

Dividend policy, 159Dominance relation, 37Efficient set, 40, 46

ELECTRE TRIAssignment procedures, 63-

64Concordance index, 60Concordance test, 60Credibility index, 62Discordance index, 62Discordance test, 60Indifference threshold, 61Preference threshold, 61Reference profiles, 59-60,Veto threshold, 62

Error typesType I error, 181Type II error, 181

Experimental design, 126-127Expert systems, 31, 187, 208Factor analysis, 188Financial management, 13, 54, 159Financial ratios, 162-171Financial statements, 162FINCLAS system, 188, 178Forecasting, 159, 207Fuzzy sets, 30-32Genetic algorithms, 71, 120, 187Goal programming, 47Group overlap, 130ID3, 28Incomparability relation, 51Jackknife, 215Kurtosis, 72Linear interpolation, 92Linear probability model, 20LERS system, 37Logit analysis

Logit model, 20-23Ordered model, 23Multinomial model, 22

Machine learning, 27-30

252

Mean-variance model, 206Mergers and acquisitions, 160MHDIS

Classification rule, 102Hierarchical discrimination,

101-105Marginal utility functions,

102-104Model extrapolation, 111-

112Mixed-integer programming, 71Model validation, 134, 210, 215Monotonicity, 42-43Multiattribute utility theory, 48-49Multicriteria decision aid, 39-55Multi-group classification, 22,

128, 210Multiobjective mathematical

programming, 45-48Mutual funds, 160, 205Net present value, 186Neural networks, 24-27Non-compensatory approaches,

125Opportunity cost, 85,181Option valuation, 206Ordinal regression, 54Outranking relation theory, 50-52Portfolio theory, 160, 206, 207PREFDIS system, 178Preference disaggregation

analysis, 52-55Preferential independence, 49Principal components analysis,

133Quadratic programming, 206Random data generation, 131-134Rank reversal, 58-59Risk attitude, 79Reference set, 54, 82Regression analysis, 6Rough sets

Core, 34Discretization, 32Decision rules, 34-37DOMLEM algorithm, 35Indiscernibility relation, 33MODLEM algorithm, 36Reduct, 34Rule induction, 34-36Valued closeness relation, 37

Skewness, 133Sorting, 4Statistical distribution, 127Stock evaluation, 205-209Tabu search, 71, 120, 230Time-series, 185, 207Trade-off, 47, 49Training sample, 8UTADIS

Additive utility function, 78,90, 94

Classification rules, 82Criteria subintervals, 91, 96-

97Marginal utility functions,

79-81, 91-92Piece-wise linear modeling,

96-98Post-optimality analysis, 98-

99, 113-122Utility thresholds, 82

Utility functionsAdditive utility function, 48-

49Multiplicative utility

function, 55Variance-covariance matrix, 17, 19Venture capital, 161Weighted average model, 54, 80Voting algorithms, 229

Applied Optimization

D.-Z. Du and D.F. Hsu (eds.): Combinatorial Network Theory. 1996ISBN 0-7923-3777-8

M.J. Panik: Linear Programming: Mathematics, Theory and Algorithms. 1996ISBN 0-7923-3782-4

R.B. Kearfott and V. Kreinovich (eds.): Applications of Interval Computations.1996 ISBN 0-7923-3847-2

N. Hritonenko and Y. Yatsenko: Modeling and Optimization of the Lifetime of Tech-nology. 1996 ISBN 0-7923-4014-0

T. Terlaky (ed.): Interior Point Methods of Mathematical Programming. 1996ISBN 0-7923-4201-1

B. Jansen: Interior Point Techniques in Optimization. Complementarity, Sensitivityand Algorithms. 1997 ISBN 0-7923-4430-8

A. Migdalas, P.M. Pardalos and S. Storøy (eds.): Parallel Computing in Optimization.1997 ISBN 0-7923-4583-5

F. A. Lootsma: Fuzzy Logic for Planning and Decision Making. 1997ISBN 0-7923-4681-5

J.A. dos Santos Gromicho: Quasiconvex Optimization and Location Theory. 1998ISBN 0-7923-4694-7

V. Kreinovich, A. Lakeyev, J. Rohn and P. Kahl: Computational Complexity andFeasibility of Data Processing and Interval Computations. 1998

ISBN 0-7923-4865-6

J. Gil-Aluja: The Interactive Management of Human Resources in Uncertainty. 1998ISBN 0-7923-4886-9

C. Zopounidis and A.I. Dimitras: Multicriteria Decision Aid Methods for the Predic-tion of Business Failure. 1998 ISBN 0-7923-4900-8

F. Giannessi, S. Komlósi and T. Rapcsák (eds.): New Trends in Mathematical Pro-gramming. Homage to Steven Vajda. 1998 ISBN 0-7923-5036-7

Ya-xiang Yuan (ed.): Advances in Nonlinear Programming. Proceedings of the ’96International Conference on Nonlinear Programming. 1998 ISBN 0-7923-5053-7

W.W. Hager and P.M. Pardalos: Optimal Control. Theory, Algorithms, and Applica-tions. 1998 ISBN 0-7923-5067-7

Gang Yu (ed.): Industrial Applications of Combinatorial Optimization. 1998ISBN 0-7923-5073-1

D. Braha and O. Maimon (eds.): A Mathematical Theory of Design: Foundations,Algorithms and Applications. 1998 ISBN 0-7923-5079-0

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Applied Optimization

O. Maimon, E. Khmelnitsky and K. Kogan: Optimal Flow Control in Manufacturing.Production Planning and Scheduling. 1998 ISBN 0-7923-5106-1

C. Zopounidis and P.M. Pardalos (eds.): Managing in Uncertainty: Theory and Prac-tice. 1998 ISBN 0-7923-5110-X

A.S. Belenky: Operations Research in Transportation Systems: Ideas and Schemesof Optimization Methods for Strategic Planning and Operations Management. 1998

ISBN 0-7923-5157-6

J. Gil-Aluja: Investment in Uncertainty. 1999 ISBN 0-7923-5296-3

M. Fukushima and L. Qi (eds.): Reformulation: Nonsmooth, Piecewise Smooth,Semismooth and Smooting Methods. 1999 ISBN 0-7923-5320-X

M. Patriksson: Nonlinear Programming and Variational Inequality Problems. A Uni-fied Approach. 1999 ISBN 0-7923-5455-9

R. De Leone, A. Murli, P.M. Pardalos and G. Toraldo (eds.): High PerformanceAlgorithms and Software in Nonlinear Optimization. 1999 ISBN 0-7923-5483-4

A. Schöbel: Locating Lines and Hyperplanes. Theory and Algorithms. 1999ISBN 0-7923-5559-8

R.B. Statnikov: Multicriteria Design. Optimization and Identification. 1999ISBN 0-7923-5560-1

V. Tsurkov and A. Mironov: Minimax under Transportation Constrains. 1999ISBN 0-7923-5609-8

V.I. Ivanov: Model Development and Optimization. 1999 ISBN 0-7923-5610-1

F.A. Lootsma: Multi-Criteria Decision Analysis via Ratio and Difference Judgement.1999 ISBN 0-7923-5669-1

A. Eberhard, R. Hill, D. Ralph and B.M. Glover (eds.): Progress in Optimization.Contributions from Australasia. 1999 ISBN 0-7923-5733-7

T. Hürlimann: Mathematical Modeling and Optimization. An Essay for the Designof Computer-Based Modeling Tools. 1999 ISBN 0-7923-5927-5

J. Gil-Aluja: Elements for a Theory of Decision in Uncertainty. 1999ISBN 0-7923-5987-9

H. Frenk, K. Roos, T. Terlaky and S. Zhang (eds.): High Performance Optimization.1999 ISBN 0-7923-6013-3

N. Hritonenko and Y. Yatsenko: Mathematical Modeling in Economics, Ecology andthe Environment. 1999 ISBN 0-7923-6015-X

J. Virant: Design Considerations of Time in Fuzzy Systems. 2000ISBN 0-7923-6100-8

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Applied Optimization

G. Di Pillo and F. Giannessi (eds.): Nonlinear Optimization and Related Topics. 2000ISBN 0-7923-6109-1

V. Tsurkov: Hierarchical Optimization and Mathematical Physics. 2000ISBN 0-7923-6175-X

C. Zopounidis and M. Doumpos: Intelligent Decision Aiding Systems Based onMultiple Criteria for Financial Engineering. 2000 ISBN 0-7923-6273-X

X. Yang, A.I. Mees, M. Fisher and L. Jennings (eds.): Progress in Optimization.Contributions from Australasia. 2000 ISBN 0-7923-6286-1

D. Butnariu and A.N. Iusem: Totally Convex Functions for Fixed Points Computationand Infinite Dimensional Optimization. 2000 ISBN 0-7923-6287-X

J. Mockus: A Set of Examples of Global and Discrete Optimization. Applications ofBayesian Heuristic Approach. 2000 ISBN 0-7923-6359-0

H. Neunzert and A.H. Siddiqi: Topics in Industrial Mathematics. Case Studies andRelated Mathematical Methods. 2000 ISBN 0-7923-6417-1

K. Kogan and E. Khmelnitsky: Scheduling: Control-Based Theory and Polynomial-Time Algorithms. 2000 ISBN 0-7923-6486-4

E. Triantaphyllou: Multi-Criteria Decision Making Methods. A Comparative Study.2000 ISBN 0-7923-6607-7

S.H. Zanakis, G. Doukidis and C. Zopounidis (eds.): Decision Making: Recent Devel-opments and Worldwide Applications. 2000 ISBN 0-7923-6621-2

G.E. Stavroulakis: Inverse and Crack Identification Problems in Engineering Mech-anics. 2000 ISBN 0-7923-6690-5

A. Rubinov and B. Glover (eds.): Optimization and Related Topics. 2001ISBN 0-7923-6732-4

M. Pursula and J. Niittymäki (eds.): Mathematical Methods on Optimization in Trans-portation Systems. 2000 ISBN 0-7923-6774-X

E. Cascetta: Transportation Systems Engineering: Theory and Methods. 2001ISBN 0-7923-6792-8

M.C. Ferris, O.L. Mangasarian and J.-S. Pang (eds.): Complementarity: Applications,Algorithms and Extensions. 2001 ISBN 0-7923-6816-9

V. Tsurkov: Large-scale Optimization – Problems and Methods. 2001ISBN 0-7923-6817-7

X. Yang, K.L. Teo and L. Caccetta (eds.): Optimization Methods and Applications.2001 ISBN 0-7923-6866-5

S.M. Stefanov: Separable Programming Theory and Methods. 2001ISBN 0-7923-6882-7

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Applied Optimization

S.P. Uryasev and P.M. Pardalos (eds.): Stochastic Optimization: Algorithms andApplications. 2001 ISBN 0-7923-6951-3

J. Gil-Aluja (ed.): Handbook of Management under Uncertainty. 2001ISBN 0-7923-7025-2

B.-N. Vo, A. Cantoni and K.L. Teo: Filter Design with Time Domain Mask Con-straints: Theory and Applications. 2001 ISBN 0-7923-7138-0

S. Zlobec: Stable Parametric Programming. 2001 ISBN 0-7923-7139-9

M.G. Nicholls, S. Clarke and B. Lehaney (eds.): Mixed-Mode Modelling: MixingMethodologies for Organisational Intervention. 2001 ISBN 0-7923-7151-8

F. Giannessi, P.M. Pardalos and T. Rapesák (eds.): Optimization Theory. RecentDevelopments from Mátraháza. 2001 ISBN 1-4020-0009-X

K.M. Hangos, R. Lakner and M. Gerzson: Intelligent Control Systems. An Introduc-tion with Examples. 2001 ISBN 1-4020-0134-7

D. Gstach: Estimating Output-Specific Efficiencies. 2002 ISBN 1-4020-0483-4

J. Geunes, P.M. Pardalos and H.E. Romeijn (eds.): Supply Chain Management:Models, Applications, and Research Directions. 2002 ISBN 1-4020-0487-7

M. Gendreau and P. Marcotte (eds.): Transportation and Network Analysis: CurrentTrends. Miscellanea in Honor of Michael Florian. 2002 ISBN 1-4020-0488-5

M. Patriksson and M. Labbé (eds.): Transportation Planning. State of the Art. 2002ISBN 1-4020-0546-6

E. de Klerk: Aspects of Semidefinite Programming. Interior Point Algorithms andSelected Applications. 2002 ISBN 1-4020-0547-4

R. Murphey and P.M. Pardalos (eds.): Cooperative Control and Optimization. 2002ISBN 1-4020-0549-0

R. Corrêa, I. Dutra, M. Fiallos and F. Gomes (eds.): Models for Parallel and Distri-buted Computation. Theory, Algorithmic Techniques and Applications. 2002

ISBN 1-4020-0623-3

G. Cristescu and L. Lupsa: Non-Connected Convexities and Applications. 2002ISBN 1-4020-0624-1

S.I. Lyashko: Generalized Optimal Control of Linear Systems with Distributed Para-meters. 2002 ISBN 1-4020-0625-X

P.M. Pardalos and V.K. Tsitsiringos (eds.): Financial Engineering, E-commerce andSupply Chain. 2002 ISBN 1-4020-0640-3

P.S. Knopov and E.J. Kasitskaya: Empirical Estimates in Stochastic Optimizationand Indentification. 2002 ISBN 1 -4020-0707-8

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KLUWER ACADEMIC PUBLISHERS – DORDRECHT / BOSTON / LONDON