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Page 1: RECENT ADVANCES in NEURAL - WSEASwseas.us/books/2010/Iasi/NNECFS.pdfdifferential evolution, artificial life, digital organisms, mathematical foundation of fuzzy logic, propositional
Page 2: RECENT ADVANCES in NEURAL - WSEASwseas.us/books/2010/Iasi/NNECFS.pdfdifferential evolution, artificial life, digital organisms, mathematical foundation of fuzzy logic, propositional

RECENT ADVANCES in NEURAL

NETWORKS, FUZZY SYSTEMS &

EVOLUTIONARY COMPUTING

Proceedings of the 11th WSEAS International Conference on

NEURAL NETWORKS (NN '10)

Proceedings of the 11th WSEAS International Conference on

EVOLUTIONARY COMPUTING (EC '10)

Proceedings of the 11th WSEAS International Conference on

FUZZY SYSTEMS (FS '10)

"G. Enescu" University, Iasi, Romania

June 13-15, 2010

Artificial Intelligence Series

A Series of Reference Books and Textbooks

Published by WSEAS Press

www.wseas.org

ISSN: 1790-5109

ISBN: 978-960-474-195-3

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RECENT ADVANCES in NEURAL

NETWORKS, FUZZY SYSTEMS &

EVOLUTIONARY COMPUTING

Proceedings of the 11th WSEAS International Conference on

NEURAL NETWORKS (NN '10)

Proceedings of the 11th WSEAS International Conference on

EVOLUTIONARY COMPUTING (EC '10)

Proceedings of the 11th WSEAS International Conference on FUZZY

SYSTEMS (FS '10)

"G. Enescu" University, Iasi, Romania, June 13-15, 2010

Artificial Intelligence Series

A Series of Reference Books and Textbooks

Published by WSEAS Press

www.wseas.org

Copyright © 2010, by WSEAS Press

All the copyright of the present book belongs to the World Scientific and Engineering Academy and

Society Press. All rights reserved. No part of this publication may be reproduced, stored in a retrieval

system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or

otherwise, without the prior written permission of the Editor of World Scientific and Engineering Academy

and Society Press.

All papers of the present volume were peer reviewed by two independent reviewers. Acceptance was

granted when both reviewers' recommendations were positive.

See also: http://www.worldses.org/review/index.html

ISSN: 1790-5109

ISBN: 978-960-474-195-3

World Scientific and Engineering Academy and Society

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RECENT ADVANCES in NEURAL

NETWORKS, FUZZY SYSTEMS &

EVOLUTIONARY COMPUTING

Proceedings of the 11th WSEAS International Conference on

NEURAL NETWORKS (NN '10)

Proceedings of the 11th WSEAS International Conference on

EVOLUTIONARY COMPUTING (EC '10)

Proceedings of the 11th WSEAS International Conference on FUZZY

SYSTEMS (FS '10)

"G. Enescu" University, Iasi, Romania

June 13-15, 2010

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Editors:

Prof. Viorel Munteanu, G. Enescu University, Romania

Prof. Razvan Raducanu, Al. I. Cuza University, Romania

Prof. Gheorghe Dutica, G. Enescu University, Romania

Prof. Anca Croitoru, Al. I. Cuza University, Romania

Prof. Valentina Emilia Balas, Aurel Vlaicu University, Romania

Prof. Alina Gavrilut, Al. I. Cuza University, Romania

International Program Committee Members:

Wlodek Duch, Poland

Luis Alexandre, Portugal

Bruno Apolloni, Italy

Timo Honkela, Finland

Thomas Martinetz, Denmark

Guenter Palm, Denmark

Alessandro Sperduti, Italy

Michel Verleysen, Belgium

Alessandro E. P. Villa, France

Stefan Wermter, UK

Rudolf Albrecht, Austria

Peter Andras, UK

Valeri Mladenov, Bulgaria

Nikos Mastorakis, Bulgaria

Angela Slavova, Bulgaria

Bo-Hyeun Wang, Korea

Xiao-Jun Zeng, UK

Plamen Angelov, UK

Robert Babuska, Netherlands

Gleb Beliakov, Australia

Hamid Berenji, USA

Michael Berthold, Germany

Hamid Bouchachia, Austria

Quek Hiok Chai, Singapore

Seungjin Choi, Korea

Gary Feng, Hong Kong

Dimitar Filev, USA

Paul Gader, USA

Masafumi Hagiwara, Japan

Isao Hayashi, Japan

Francisco Herrera, Spain

Richard Jensen, UK

Seul Jung, Korea

Janusz Kacprzyk, Poland

Okyay Kaynak, Turkey

Euntai Kim, Korea

Jin Young Kim, Korea

Kwang Baek Kim, Korea

Baoding Liu, China

Trevor Martin, UK

Radko Mesiar, Slovakia

Eduard Montseny, Spain

Mihail Popescu, USA

Thomas Runkler, Germany

Hideyuki Sawada, Japan

Pilar Sobrevilla, Spain

Woei Wan Tan, Singapore

Nipon Theera-Umpon, Thailand

Vicenc Torra, Spain

Enrique Herrera Viedma, Spain

Erik Goodman, USA

Gilbert Syswerda, USA

Thomas Baeck, Germany

Marc Schoenauer, France

Ian Parmee, UK

Bill Punch, USA

Dave Schaffer, USA

Lotfi A. Zadeh, USA

Janusz Kacprzyk, Poland

Angel Kuri-Morales, Mexico

Pierre Borne, France

Demetrios Kazakos, USA

F.-K. Benra, Germany

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Preface

This year the 11th WSEAS International Conference on NEURAL NETWORKS (NN '10), 11th

WSEAS International Conference on EVOLUTIONARY COMPUTING (EC '10) & 11th

WSEAS International Conference on FUZZY SYSTEMS (FS '10) were held at "G. Enescu"

University, Iasi, Romania, June 13-15, 2010. The conferences remain faithful to their original

idea of providing a platform to discuss mathematical foundation of neural networks, hybrid and

knowledge based networks, neural network software, neuro-fuzzy systems, neural networks

training via genetic algorithms, machine learning, neural networks and neuroscience,

neurobiology and neurosciences, evolution strategies, metaheuristic optimization algorithms,

differential evolution, artificial life, digital organisms, mathematical foundation of fuzzy logic,

propositional fuzzy logic, predicate fuzzy logics, fuzzy algebra, fuzzy analysis, fuzzy geometry,

fuzzy internet computing, software engineering for fuzzy systems, fuzzy systems in robotics and

mechatronics etc. with participants from all over the world, both from academia and from

industry.

Their success is reflected in the papers received, with participants coming from several countries,

allowing a real multinational multicultural exchange of experiences and ideas.

The accepted papers of these conferences are published in this Book that will be indexed by ISI.

Please, check it: www.worldses.org/indexes as well as in the CD-ROM Proceedings. They will

be also available in the E-Library of the WSEAS. The best papers will be also promoted in many

Journals for further evaluation.

Conference such as these can only succeed as a team effort, so the Editors want to thank the

International Scientific Committee and the Reviewers for their excellent work in reviewing the

papers as well as their invaluable input and advice.

The Editors

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Table of Contents

Plenary Lecture 1: A Mathematical Approach to Psychological Insight 13

Alin Gilbert Sumedrea

Plenary Lecture 2: A Heuristic Algorithm for the Network Design Problem 14

Milan Tuba

Plenary Lecture 3: Mixed Techniques in Evolutionary Computing 15

Dana Simian

Plenary Lecture 4: On Robust Fuzzy Clustering and Validity Indexes 16

Miin-Shen Yang

Plenary Lecture 5: Atoms and Pseudo-Atoms of Fuzzy Set Multifunctions 17

Anca Croitoru

Regression Model Selection using Genetic Algorithms 19

Sandra Paterlini, Tommaso Minerva

Genetic Algorithms in Partitional Clustering: A Comparison 28

Sandra Paterlini, Tommaso Minerva

Functional Learning & Introduction to the Electronic Brain on El-Dorra Neural Network

Technology

37

Omari Abdallah

A Fuzzy Model for the Modelling Process 44

Michael Gr. Voskoglou

Designing and Optimizing a BP Neural Network to Model a Thin-Layer Drying Process 50

Sh. Gorjian, T. Tavakkoli Hashjin, M. H. Khoshtaghaza, A. R. Sharafat

A Mathematical Law of Emotions 60

Alin Gilbert Sumedrea

Predicting the Mechanical Behavior of Steel Frames Exposed to Elevated Temperatures using

Artificial Neural Networks

66

Moudar Zgoul

Feature Selection for Efficient Gender Classification 70

M. Nazir, Muhammad Ishtiaq, Anab Batool, M. Arfan Jaffar, Anwar M. Mirza

Text Mining Documents in Electronic Data Interchange Environment 76

Zakaria Suliman Zubi

A New Estimation Algorithm for Electric Load Forecast Model Identification 89

M. R. AlRashidi, K. M. El-Naggar, M. F. AlHajri

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 9 ISBN: 978-960-474-195-3

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Multioutput Adaptive Neuro-Fuzzy Inference System 94

T. Benmiloud

Graphical Representation of Fuzzy State Space of a Boiler System 99

Noor Ainy Harish, Razidah Ismail, Tahir Ahmad

Optimal Tuning of PID Controller for AVR System using Modified Particle Swarm

Optimization

104

G. Shabib, A. G. Moslem, A. M. Rashwan

Partitioning Preflow-Pull Algorithm for the Parametric Network Flow Problem – a Linguistic

Rule-based Constraints Optimisation Approach

111

Livia Sangeorzan, Mircea Parpalea, Mihaela Parpalea

Mamdani Fuzzy Logic Controller with Mobile Agents for Matching 117

Ion Iancu, Claudiu-Ionut Popirlan

A Simulation-based Fuzzy Model for Traffic Signal Control 123

Yaser E. Hawas

Relationship between Handedness and Stress Level by Fuzzy Approach 129

Zeinab Amani, Masome Shojaei, Hasan Khalaji

Convergence of Markov Process for Fuzzy Autocatalytic Set of Fuzzy Graph Type-3 of An

Incineration Process

139

Sumarni Abu Bakar, Tahir Ahmad, Sabariah Baharun

Model of Homeostatic Artificial Neuron 145

Martin Ruzek, Tomas Brandejsky

Demonic Fuzzy Operators 149

Huda Alrashidi, Fairouz Tchier

Horse Racing Prediction Using Artificial Neural Networks 155

Elnaz Davoodi, Ali Reza Khanteymoori

Fuzzy Time Series-Based Trajectory Estimation of a Moving Object 161

Mustafa Yagimli, Hakan Tozan

On the Efficiency of Crossover Operators in Genetic Algorithms with Binary Representation 167

Stjepan Picek, Marin Golub

A Heuristic Algorithm for the Network Design Problem 173

Milan Tuba

An Object-Oriented Software Implementation of a Modified Artificial Bee Colony (ABC)

Algorithm

179

Nebojsa Bacanin, Milan Tuba, Ivona Brajevic

Improved Artificial Bee Colony Algorithm for Constrained Problems 185

Ivona Brajevic, Milan Tuba, Milos Subotic

Parallelization of the Artificial Bee Colony (ABC) Algorithm 191

Milos Subotic, Milan Tuba, Nadezda Stanarevic

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 10 ISBN: 978-960-474-195-3

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Neural Network Based Software System for Hemodynamic Simulation 197

Olga Miljkovic, Milan Tuba, Milos Ivanovic

An Evolutionary-Optimised Artificial Neural Network Approach for Automatic Appraisal of

Jordanian Lands and Real Properties

203

Mousa Al-Akhras

Secure and Power Saving Routing Protocol for Wireless Sensor Networks 209

Iman Al-Momani, Asma' Abdel Aziz, Mousa AL-Akhras

Comparison of Takagi-Sugeno and Lyapunov based Tracking Controls for a Novel Kinematic

Model of a Mobile Robot

215

Saso Blazic

Vector Fuzzy Integral 221

Cristina Stamate

Null-Additive Fuzzy Set Multifunctions 225

Alina Gavrilut, Anca Croitoru, Nikos E. Mastorakis

Prediction of Market Price by using Fast Time Delay Neural Networks 230

Hazem M. El-Bakry, Nikos Mastorakis

Face Detection System Based on MLP Neural Network 238

Nidal F. Shilbayeh, Gaith A. Al-Qudah

A Genetic Procedure used to Train RFB Neural Networks 244

Constantin-Iulian Vizitiu

A Convenient Feature Vector Construction for Vehicle Color Recognition 250

Erida Dule, Muhittin Gokmen, M. Sabur Beratoglu

Topological Spaces Ordered by Fuzzy Cones 256

Marius Apetrii

Using CTL Model Checker for Verification of Domain Application Systems 262

Laura Florentina Cacovean

Fuzzy System Approach to Symptoms in Schizophrenia 268

Corneliu Mosoiu, Alin Gilbert Sumedrea, Victoria Burtea, Petru Ifteni

Optimizing a New Nonlinear Reinforcement Scheme with Breeder Genetic Algorithm 273

Florin Stoica, Dana Simian

Interoperability Issues in Accessing Databases through Web Services 279

Florin Stoica, Laura Florentina Cacovean

Qualitative Study of Software for Fuzzy Systems Simulation and Development 285

Ederson Luis Posselt, Luis Felipe Da Rosa E. Silva, Rejane Frozza, Rolf Fredi Molz

Artificial Neural Networks for Electricity Consumption Forecasting Considering Climatic

Factors

293

Francisco David Moya Chaves

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 11 ISBN: 978-960-474-195-3

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Comparison of Teachers' Aspiration towards Change in Teaching and Learning and the

Implementation of their Teaching Practice

299

Habsah Ismail, Mohd. Majid Konting, Wan Zah Wan Ali, Roshafiza Hassan

Authors Index 306

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 12 ISBN: 978-960-474-195-3

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Plenary Lecture 1

A Mathematical Approach to Psychological Insight

Professor Alin Gilbert Sumedrea

Lucian Blaga University of Sibiu

Faculty of Science

ROMANIA

E-mail: [email protected] Abstract: The psychological dynamics is governed by the "observable-unobservable" systemic ratio. The

psychological insight represented by the (unobservable) psychological soft component obeys the functional models which define the psychological system. The functionality of the psychological system depends on the functionality of psychological instances. What is essential and what is variable in transactional "challenge-response"? The pointing out of the essential feature presupposes the coming into play of an equivalence class of a ratio in which the engaged resources oppose a certain destructive potential. Technically speaking, in this ratio a certain tolerance of the entropy of psychological measures and a certain capacity to adjust this entropy are involved. This means that different situations could be treated in an equivalent manner. But this fact proves the myth of psychological invincibility! At the conscious level, a new structure is needed, which has to bring out the problematic situations. This structure should have the behaviour of a special consciousness which has to distinguish between the potentials of using its products. The interpretive potential of the conscious instance is recorded by the tensional effort – a weak structure which preserves the equivalence class – mentioned above – specific to a person. The reason for preserving it is to assure the simultaneous functioning of strong and weak psychological structures and, of course, of psychological instances. At the psychological level, the entropy and the adjustment of entropy are assembled in different structures. The structures must be compatible, meaning that these are acting on the basis of certain formulae which have to assure the accurate functioning of the psychological system. The variability of the psychological energy suggests for the unconscious instance equivalence class type structures, functioning on the basis of a constant "anti-entropy/entropy" ratio and for the conscious instance and its peripheral instance, the special type structures functioning on the basis of the "anti-entropy + entropy" formula. The functioning of the psychological system presupposes the existence of a certain control structure of the functioning of psychological instances along predefined formulae. The approach based on the mathematical theory of invariants clarifies the problem of the nature of the tensional habituation process, the behaviour of the need for psychological stimulation in conditions of psychological equilibrium and the relation between the subjective perception of the psychological tension and the amplitude of the tensional states. Trying to find a similitude between the physical and the psychological world of the attraction laws, the theory of the germination processes of tensional states is posited. The future purpose of the mathematical approach is to create an unifying theory between the functionality of the psychological soft and of the physiological hard.

Brief Biography of the Speaker:

Alin Gilbert SUMEDREA, Ph.D in Psychology (1993), Ph.D in Statistics (1993), is Professor and Head of the Department of Psychology, Faculty of Science, Lucian Blaga University of Sibiu, ROMANIA. He is also Head of the Psychological Research Centre, Sibiu, ROMANIA. The scientific activity is represented by 60 published scientific papers and 9 books. Research activity: 17 finalized research projects. He was director for 5 research projects. Current research interests include: Applications of differential geometry in psychology; Mathematical modeling of psychological processes.

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 13 ISBN: 978-960-474-195-3

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Plenary Lecture 2

A Heuristic Algorithm for the Network Design Problem

Professor Milan Tuba

Megatrend University Belgrade

Faculty of Computer Science

Serbia

E-mail: [email protected] Abstract: The network design problem (NDP) is a well known problem which can be applied to many different types

of networks. It was well investigated applied to computer communications networks during the time of Internet development. Today it is again very actual applied mostly to the dynamic wireless networks (MANET – mobile ad hoc networks). The network design problem is an NP-hard problem which involves topology selection (subset of possible links) and routing determination (paths for the offered traffic). Capacity assignment is usually treated as a 0-1 problem and as such included it in the topology problem. This does not make the network design problem easier, just the opposite, it moves optimization from continuous to integer. The goal is to minimize the cost which can be a combination of the link costs and delay penalties, under possible additional constraints. Such hard combinatorial graph problems are often treated by evolutionary metaheuristics. In many cases better results and faster convergence are achieved by hybrid algorithms where some local searcher that utilizes particular knowledge about the corresponding problem is included. Here we propose and analyze a computationally feasible heuristic algorithm which excludes underutilized links by a version of flow-deviation method. A simplified queuing model is developed for cost function estimate. Some theoretical results are also established that direct initial approximation. Proposed algorithm can dynamically be adjusted for faster or better results. It is implemented and computes a good solution that is robust with respect to often required dynamic changes of the cost function.

Brief Biography of the Speaker:

Milan Tuba received B. S. in Mathematics, M. S. in Mathematics, M. S. in Computer Science, M. Ph. in Computer Science, Ph. D. in Computer Science from University of Belgrade and New York University. From 1983 to 1994 he was in the U.S.A. first as a graduate student and teaching and research assistant at Vanderbilt University in Nashville and Courant Institute of Mathematical Sciences, New York University and later as an Assistant Professor of Electrical Engineering at Cooper Union Graduate School of Engineering, New York. During that time he was the founder and director of Microprocessor Lab and VLSI Lab, leader of scientific projects and supervisor of many theses. From 1994 he was Associate professor of Computer Science and Director of Computer Center at University of Belgrade, Faculty of Mathematics, and from 2004 also a Professor of Computer Science and Dean of the College of Computer Science, Megatrend University Belgrade. He was teaching more than 20 graduate and undergraduate courses, from VLSI Design and Computer Architecture to Computer Networks, Operating Systems, Image Processing, Calculus and Queuing Theory. His research interest includes mathematical, queuing theory and heuristic optimizations applied to computer networks, image processing and combinatorial problems. He is the author of more than 90 scientific papers and a monograph. He is coeditor or member of the editorial board or scientific committee of number of scientific journals and conferences. Member of the ACM since 1983, IEEE 1984, New York Academy of Sciences 1987, AMS 1995, SIAM 2009. Participated in many WSEAS Conferences with plenary lectures and articles in Proceedings and Transactions.

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 14 ISBN: 978-960-474-195-3

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Plenary Lecture 3

Mixed Techniques in Evolutionary Computing

Professor Dana Simian

Faculty of Sciences

University Lucian Blaga of Sibiu

Romania

E-mail: [email protected] Abstract: Our aim is to analyze and compare how different evolutionary computing techniques can be combined to

improve the performances in complex optimization problems. We focus on three types of evolutionary techniques: genetic algorithms, wasp’s behavior based algorithms and machine learning.

Brief Biography of the Speaker:

Dana Simian received the diploma. in engineering from the University of Sibiu, Romania, the diploma. in Mathematics - Informatics from the University Babes-Bolyai of Cluj-Napoca, Romania and the Ph.D. from Babes-Bolyai University of Cluj- Napoca, Romania. She graduated many courses in Computer Science. She is the head of the Department of Computer Science from the Faculty of Sciences, University Lucian Blaga of Sibiu, Romania. She has a great experience in algorithms and numerical methods for modelling and optimization. She published 16 books, more than 60 articles and participated in the editorial board of more than 22 scientific publications (proceedings of international conferences). She organized 7 special sessions within WSEAS conferences, 2 international workshops and an international conference on topics related to algorithms and computational techniques in modeling, approximation and optimization. She was a member of many scientific committees of international conferences. She was plenary speakers in 6 international conferences. She is reviewer of many scientific publications. She was involved as director of many research grants. She has been included in "Who is Who in the World" in 2006-2009 and in the "IBC Foremost Engineers of the World", 2008.

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 15 ISBN: 978-960-474-195-3

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Plenary Lecture 4

On Robust Fuzzy Clustering and Validity Indexes

Professor Miin-Shen Yang

Department of Applied Mathematics

Chung Yuan Christian University

Chung-Li 32023, Taiwan

E-mail: [email protected] Abstract: Cluster analysis is a method for finding clusters of a data set with the most similarity within the same

cluster and the most dissimilarity between different clusters. It is unsupervised learning in pattern recognition. Since Zadeh [1] proposed fuzzy sets that introduced the idea of partial memberships described by the membership functions, fuzzy clustering has been widely studied and applied in a variety of substantive areas (see [2-5]). In fuzzy clustering, the FCM algorithm and its variations are well known and the most used in various applications. We know that the robustness is important for clustering (see [6]) However, the robustness for these FCM and various extended fuzzy clustering algorithms still needs for further study. In this talk, we shall focus the robustness for these fuzzy clustering algorithms. We use the o function of M-estimate to analyze the robustness for fuzzy clustering algorithms and then propose their improvements. On the other hand, cluster validity indexes can be used to evaluate the fitness of data partitions produced by a fuzzy clustering algorithm (see [7-9]). However, the values of validity indexes may be heavily influenced by noise and outliers. In the literature, there is little discussion about the robustness of cluster validity indexes. In this talk, we also analyze the robustness of a validity index using the o function of M-estimate. We then improve most fuzzy cluster validity indexes so that they will be more robust for noise and outliers. Some comparative examples with numerical and real data sets will be presented.

Brief Biography of the Speaker:

Miin-Shen Yang received the BS degree in mathematics from the Chung Yuan Christian University, Chungli, Taiwan, in 1977, the MS degree in applied mathematics from the National Chiao-Tung University, Hsinchu, Taiwan, in 1980, and the PhD degree in statistics from the University of South Carolina, Columbia, USA, in 1989. In 1989, he joined the faculty of the Department of Mathematics in the Chung Yuan Christian University as an Associate Professor, where, since 1994, he has been a Professor. From 1997 to 1998, he was a Visiting Professor with the Department of Industrial Engineering, University of Washington, Seattle. During 2001-2005, he was the Chairman of the Department of Applied Mathematics in the Chung Yuan Christian University. His current research interests include applications of statistics, fuzzy clustering, neural fuzzy systems, pattern recognition and machine learning. Dr. Yang is an Associate Editor of the IEEE Transactions on Fuzzy Systems, and an Associate Editor of the Applied Computational Intelligence and Soft Computing. He was recently awarded with 2008 Outstanding Associate Editor of IEEE Transactions on Fuzzy Systems, IEEE, and 2009 Outstanding Research Professor of Chung Yuan Christian University.

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 16 ISBN: 978-960-474-195-3

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Plenary Lecture 5

Atoms and Pseudo-Atoms of Fuzzy Set Multifunctions

Professor Anca Croitoru

Faculty of Mathematics

“Al.I. Cuza” University of Iasi

ROMANIA

E-mail: [email protected] Abstract: Non-additive (multi)measure theory has been intensively studied by many authors thanks to its applications

in different domains. For example, fuzzy measures (introduced by Sugeno in 1976) are used in statistics (as imprecise probabilities), economics (as games with transferable utility in cooperative game theory), mathematical finances (as risk measures), medicine (in prediction of osteoporotic fractures). Our aim is to present properties of atoms and pseudo-atoms of fuzzy set multifunctions.

Brief Biography of the Speaker:

Anca Croitoru graduated the Faculty of Mathematics at “Al.I. Cuza” University of Iasi, Romania and received the Doctoral Degree in Mathematics in 2000 at the same university with a thesis in Romanian: Multifunctii aditive si neaditive de multime (Non-additive and additive set multifunctions), supervisor: prof. dr. Anca-Maria Precupanu. In present she is lecturer at the Faculty of Mathematics, “Al.I. Cuza” University of Iasi, Romania. She is member of AMS, WSEAS, ROMAI, “Al. Myller” Mathematical Seminary Foundation of “Al.I. Cuza” University of Iasi. She is author or co-author of 4 books (in Romanian), over 30 papers in national or international refereed journals and conference proceedings, co-editor of 7 conference proceedings. She is participant at over 40 national or international conferences and participant or coordinator of 4 national and 2 international research projects respectively. Her research interest includes: continuity, measurability, fuzzyness, (pseudo)atoms, non-atomicity, Darboux property in set-valued analysis, non-additive set multifunctions, convergences of measurable functions, set-valued integrals of different types: Dunford, Gould, fuzzy.

RECENT ADVANCES in NEURAL NETWORKS, FUZZY SYSTEMS & EVOLUTIONARY COMPUTING

ISSN: 1790-5109 17 ISBN: 978-960-474-195-3

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Authors Index

Abdallah, O. 37 Gavrilut, A. 225 Parpalea, Mir. 111

Abu Bakar, S. 139 Gokmen, M. 250 Paterlini, S. 19, 28

Ahmad, T. 99, 139 Golub, M. 167 Picek, S. 167

Al-Akhras, M. 203, 209 Gorjian, S. 50 Popirlan, C.-I. 117

AlHajri, M. F. 89 Harish, N. A. 99 Posselt, E. L. 285

Al-Momani, I. 209 Hashjin, T. T. 50 Rashwan, A. M. 104

Al-Qudah, G. A. 238 Hassan, R. 299 Ruzek, M. 145

Alrashidi, H. 149 Hawas, Y. E. 123 Sangeorzan, L. 111

AlRashidi, M. R. 89 Iancu, I. 117 Shabib, G. 104

Amani, Z. 129 Ifteni, P. 268 Sharafat, A. R. 50

Apetrii, M. 256 Ishtiaq, M. 70 Shilbayeh, N. F. 238

Aziz, A. A. 209 Ismail, H. 299 Shojaei, M. 129

Bacanin, N. 179 Ismail, R. 99 Simian, D. 273

Baharun, S. 139 Ivanovic, M. 197 Stamate, C. 221

Batool, A. 70 Jaffar, M. A. 70 Stanarevic, N. 191

Benmiloud, T. 94 Khalaji, H. 129 Stoica, F. 273, 279

Beratoglu, M. S. 250 Khanteymoori, A. R. 155 Subotic, M. 185, 191

Blazic, S. 215 Khoshtaghaza, M. H. 50 Sumedrea, A. G. 60, 268

Brajevic, I. 185, 179 Konting, M. M. 299 Tchier, F. 149

Brandejsky, T. 145 Mastorakis, N. E. 225, 230 Tozan, H. 161

Burtea, V. 268 Miljkovic, O. 197 Tuba, M. 173, 179, 185

Cacovean, L. F. 279, 262 Minerva, T. 19, 28 Tuba, M. 191, 197

Croitoru, A. 225 Mirza, A. M. 70 Vizitiu, C.-I. 244

Da Rosa E. Silva, L. F. 285 Molz, R. F. 285 Voskoglou, M. G. 44

Davoodi, E. 155 Moslem, A. G. 104 Wan Ali, W. Z. 299

Dule, E. 250 Mosoiu, C. 268 Yagimli, M. 161

El-Bakry, H. M. 230 Moya Chaves, F. D. 293 Zgoul, M. 66

El-Naggar, K. M. 89 Nazir, M. 70 Zubi, Z. S. 76

Frozza, R. 285 Parpalea, Mih. 111

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