FUZZY LOGIC AND ITS APPLICATIONS TO ENGINEERING, INFORMATION SCIENCES, AND INTELLIGENT SYSTEMS
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1 FUZZY LOGIC AND ITS APPLICATIONS TO ENGINEERING, INFORMATION SCIENCES, AND INTELLIGENT SYSTEMS
2 THEORY AND DECISION LIBRARY General Editors: W. Leinfellner (Vienna) and G. Eberlein (Munich) Series A: Philosophy and Methodology of the Social Sciences Series B: Mathematical and Statistical Methods Series C: Game Theory, Mathematical Programming and Operations Research Series D: System Theory, Knowledge Engineering and Problem Solving SERIES D: SYSTEM THEORY, KNOWLEDGE ENGINEERING AND PROBLEM SOLVING VOLUME 16 Editor: R. Lowen (Antwerp); Editorial Board: G. Feichtinger (Vienna), G. J. Klir (New York) O. Opitz (Augsburg), H. 1. Skala (paderborn), M. Sugeno (Yokohama), H. 1. Zimmermann (Aachen). Scope: Design, study and development of structures, organizations and systems aimed at formal applications mainly in the social and human sciences but also relevant to the information sciences. Within these bounds three types of study are of particular interest. First, formal definition and development of fundamental theory and/or methodology, second, computational and/or algorithmic implementations and third, comprehensive empirical studies, observation or case studies. Although submissions of edited collections will appear occasionally, primarily monographs will be considered for publication in the series. To emphasize the changing nature of the fields of interest we refrain from giving a clear delineation and exhaustive list of topics. However, certainly included are: artificial intelligence (including machine learning, expert and knowledge based systems approaches), information systems (particularly decision support systems), approximate reasoning (including fuzzy approaches and reasoning under uncertainty), knowledge acquisition and representation, modeling, diagnosis, and control. The titles published in this series are listed at the end of this volume.
3 FUZZY LOGIC AND ITS APPLICATIONS TO ENGINEERING, INFORMATION SCIENCES, AND INTELLIGENT SYSTEMS edited by Z. BIEN Korea Advanced Institute of Science and Technology (KAIST). Taejon. Korea and K.C.MIN Yonsei University. Seoul. Korea KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON
4 A C.I.P. Catalogue record for this book is available from the Library of Congress Published by Kluwer Academic Publishers, P.O. Box 17,3300 AA Dordrecht, The Netherlands. Kluwer Academic Publishers incorporates the publishing programmes of D. Reidel, Martinus Nijhoff, Dr W. Junk and MTP Press. Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, WI Philip Drive, Norwell, MA 02061, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, The Netherlands. ISBN-13: lO e-isbn-13: DOl: / Printed on acid-free paper Softcover reprint ofthe hardcover 1st edition 1995 All Rights Reserved 1995 Kluwer Academic Publishers No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner.
5 TABLE OF CONTENTS Preface Xl Chapter 1. Intelligent Systems Expressing Fuzzy Measure by a Model of Modal Logic: A Discrete case Z. Wang, G. J. Klir and G. Resconi... 3 Fuzziness Reduction Method for a Combination Function S. Tano, T. Arnould, Y. Kato and T. Miyoshi A Comparison Between Two Methods to Optimize Cross-Detecting Lines for a Fuzzy Neuron M. Furukawa and T. Yamakawa Modelling of Hysteretic Curves Based on Fuzzy Reasoning and its Application 1. Kumazaki, E. Watanabe and H. Furuta Estimation of Membership Functions for Pattern Recognition and Computer Vision S. Medasani, J. Kim and R. Krishnapuram Range Image Segmentation through Fuzzy and Possibilistic Shell Clustering R. Krishnapuram, H. Frigui and O. Nasraoui Chapter 2. Engineering On the Structure and Learning of Neural-Network-Based Fuzzy Logic Control Systems C. T. Lin and C. S. G. Lee Optimization of a Fuzzy Adaptive Network for Control Applications A. O. Esogbue and J. A. Murrell... 81
6 VI Lexicographic Tuning of a Fuzzy Controller T. H. Whalen and B. Schott On Design of the Self-Organizing Fuzzy Logic System Based on Genetic Algorithm Y. H. Kim, H. C. Cho, Y. K. Choi and H. T. Jeon Fuzzy Control as Self-Organizing Adaptive Constraint-Oriented Problem Solving O. Katai, M. Ida, T. Sawaragi, K. Shimamoto, S. Iwai, M. Terabe and T. Horiuchi Lipreading Using the Fuzzy Degree of Similarity K. Kurosu, T. Furuya, M. Soeda and S. Takeuchi Intelligent Restructuring of Automated Production Systems C. W. de Silva Fuzzy System Modeling and its Application to Mobile Robot Control Y. H. Joo, H. S. Hwang, K. B. Woo and K. B. Kim Defuzzification with Constraints R. R. Yager and D. P. Filev On Quality Defuzzification - Theory and an Application Example H. Hellendoorn and C. Thomas A Fuzzy Neural Network: Structure and Learning M. Figueiredo, F. Gomide and W. Pedrycz Nonlinear Function Approximation Based on N euro-fuzzy Interpolators 1. H. Suh and T. W. Kim Semantically Valid Optimization of Fuzzy Models W. Pedrycz and J. Valente de Oliveira Hull Form Generation by Using TSK Fuzzy Model Y. S. Lee, S. J. Jeong, S. Y. Kim and G. Kang
7 vii Interpolative Reasoning for Computationally Efficient Optimal Multistage Fuzzy Control J. Kacprzyk Fuzzy Petri Nets and their Applications to Fuzzy Reasoning Systems Control T. Matsumoto, A. Sakaguchi and K. Tsuji Simulation Study on Self-learning Fuzzy Control of Carbon Monoxide Concentration K. Tanaka FLC Design with Multiple Control Objectives and Application to Overhead Crane Control T. Lim and Z. Bien Performance Evaluation for Fault Detection of Analog Electronic Circuits M. Hashizume, Y. Iwata and T. Tamesada Subjective System Reliability Analysis and Mutual Agreement of its Results T. Onisawa Fuzzy Decision-Making Applications in Nuclear Science D. Ruan Chapter 3. Mathematical Foundations Conditional Events and Fuzzy Conditional Events Viewed from a Product Probability Space Perspective 1. R. Goodman L-Fuzzy Ultra-Compactification R. C. Steinlage A Class of Weakly Induced Spaces and its Application to the Theory of Embedding Y-M. Liu and D-X. Zhang
8 Vlll Stable Fuzzy Compactness K. C. Min and Y. B. Kim Fuzzy Matrices and Relational Equations H. H. Cho Embeddings of Z-Domains in Cubes X-Q. XU On Fuzzy Quantifiers H. Thiele Towards Formalized Integrated Theory of Fuzzy Logic V. Novak Chapter 4. Information Sciences Recent Development in Fuzzy Database Systems and Applications S. Miyamoto and M. Umano Factor Spaces and Fuzzy Tables P. Z. Wang Fuzzy Clustering with Multiple Objective Functions M. Sato and Y. Sato The Effectiveness of Fuzzy Operators in Information Retrieval J. H. Lee, W. Y. Kim, M. H. Kim and Y. J. Lee A Fuzzy Query Evaluation in Relational Databases S. C. Park, C. S. Kim and D. S. Kim A Solution Concept in Multiobjective Matrix Games with Fuzzy Payoffs and Fuzzy Goals M. Sakawa and I. Nishizaki On Classicalizing Fuzzy Databases S. Shenoi
9 ix A Cooperative Fuzzy Games for International Conflict Solving F. Seo, M. Sakawa and I. Nishizaki Consensus Degrees under Fuzziness via Ordered Weighted Average (OWA) Operators J. Kacprzyk and M. Fedrizzi A Fuzzy Programming Approach to Structured Linear Programs M. Sakawa, M. Inuiguchi, K. Kato and K. Sawada A Necessary Soft Optimality Test in Interval Linear Programming Problems M. Inuiguchi and M. Sakawa Subject Index 475
10 Xl PREFACE As we all have been witnessing lately, the fuzzy technology has emerged as one of the most exciting new technologies at hand. It is responsible for improving many industrial and consumer systems and profoundly affects our daily lives. To exchange ideas and research results of this important area of fuzzy logic, more than 500 researchers and system engineers from 36 countries had gathered at the Fifth IFSA World Congress in Seoul, Korea. Two objectives were set up for the meeting: one was to encourage communications between researchers of fuzzy logic and related systems and the second to explore industrial applications of fuzzy technology, implementing human intelligent in machines and systems. The present book is an outgrowth of contributions by the participants at the Congress. Selections were made so that this volume reflects important current directions of Fuzzy Logic and Technology. All the authors were requested to extend and/or update their original contributions in the proceedings. The contents are divided into four chapters; (i) Intelligent Systems, (ii) Engineering, (iii) Mathematical Foundations and (iv) Information Sciences. The first chapter on intelligent systems contains topics including approximate reasoning, knowledge representation, computer vision and pattern recognition. The second chapter on engineering deals with intelligent robotics, fuzzy logic control, industrial systems, manufacturing, image signal processing, hardware devices, neural network, genetic algorithm and nuclear science. The third chapter on mathematical foundations includes topics on non-classical logics, category theory, algebra, topology, probability and statistics, relational equations. The fourth chapter on information sciences handles information retrieval, fuzzy database system, management science, operation research and decision making. We hope that this volume would serve the academia as well as the technical community in a way that fuzzy logic is appreciated as a methodology for enlarging concepts, design and manufacture of intelligent systems and, ultimately, attaining improved understanding of the basic science and the foundations of human reasoning.
11 xii We take this opportunity to express our sincere thanks to Prof. 1. A. Zadeh, Prof. T. Terano and many other colleagues throughout the world for their thoughtful support to make the Seoul Congress a great success. With their fruitful contributions, many scientists, engineers and people in the government sector are convinced that the development of fuzzy logic is an essential step in preparing the 21st century. We would like also to thank all the authors of this book for their contributions as well as Prof. R. Lowen at University of Antwerp and Mr. P. Leenards at Kluwer Academic Publishers for their kind encouragement in the preparation of this volume. Finally, we express our deep appreciation to Dr. J. W. Park for his kind help during the editorial process of this book. Z. Bien and K. C. Min KArST, Taejon and Yonsei University, Seoul
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