Table Of ContentFUZZY LOGIC AND ITS APPLICATIONS TO ENGINEERING,
INFORMATION SCIENCES, AND INTELLIGENT SYSTEMS
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.
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
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: 978-94-0lO-6543-6 e-ISBN-13: 978-94-009-0125-4
DOl: 10.1007/978-94-009-0125-4
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,
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retrieval system, without written permission from the copyright owner.
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 ..................... 15
A Comparison Between Two Methods to Optimize Cross-Detecting Lines
for a Fuzzy Neuron
M. Furukawa and T. Yamakawa ................................... 25
Modelling of Hysteretic Curves Based on Fuzzy Reasoning and its Appli
cation
1. Kumazaki, E. Watanabe and H. Furuta ......................... 35
Estimation of Membership Functions for Pattern Recognition and Com
puter Vision
S. Medasani, J. Kim and R. Krishnapuram ....................... .45
Range Image Segmentation through Fuzzy and Possibilistic Shell Clustering
R. Krishnapuram, H. Frigui and O. Nasraoui ...................... 55
Chapter 2. Engineering
On the Structure and Learning of Neural-Network-Based Fuzzy Logic Con
trol Systems
C. T. Lin and C. S. G. Lee ........................................ 67
Optimization of a Fuzzy Adaptive Network for Control Applications
A. O. Esogbue and J. A. Murrell .................................. 81
VI
Lexicographic Tuning of a Fuzzy Controller
T. H. Whalen and B. Schott ...................................... 91
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 ............... 101
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 ......................................................... 111
Lipreading Using the Fuzzy Degree of Similarity
K. Kurosu, T. Furuya, M. Soeda and S. Takeuchi ................ 123
Intelligent Restructuring of Automated Production Systems
C. W. de Silva ................................................... 133
Fuzzy System Modeling and its Application to Mobile Robot Control
Y. H. Joo, H. S. Hwang, K. B. Woo and K. B. Kim .............. 147
Defuzzification with Constraints
R. R. Yager and D. P. Filev ..................................... 157
On Quality Defuzzification - Theory and an Application Example
H. Hellendoorn and C. Thomas .................................. 167
A Fuzzy Neural Network: Structure and Learning
M. Figueiredo, F. Gomide and W. Pedrycz ....................... 177
Nonlinear Function Approximation Based on Ne uro-Fuzzy Interpolators
1. H. Suh and T. W. Kim ........................................ 187
Semantically Valid Optimization of Fuzzy Models
W. Pedrycz and J. Valente de Oliveira ........................... 197
Hull Form Generation by Using TSK Fuzzy Model
Y. S. Lee, S. J. Jeong, S. Y. Kim and G. Kang ................... 207
vii
Interpolative Reasoning for Computationally Efficient Optimal Multistage
Fuzzy Control
J. Kacprzyk ..................................................... 215
Fuzzy Petri Nets and their Applications to Fuzzy Reasoning Systems Con
trol
T. Matsumoto, A. Sakaguchi and K. Tsuji ....................... 225
Simulation Study on Self-learning Fuzzy Control of Carbon Monoxide Con
centration
K. Tanaka ....................................................... 235
FLC Design with Multiple Control Objectives and Application to Overhead
Crane Control
T. Lim and Z. Bien .............................................. 245
Performance Evaluation for Fault Detection of Analog Electronic Circuits
M. Hashizume, Y. Iwata and T. Tamesada ....................... 255
Subjective System Reliability Analysis and Mutual Agreement of its Results
T. Onisawa ...................................................... 265
Fuzzy Decision-Making Applications in Nuclear Science
D. Ruan ......................................................... 275
Chapter 3. Mathematical Foundations
Conditional Events and Fuzzy Conditional Events Viewed from a Product
Probability Space Perspective
1. R. Goodman .................................................. 287
L-Fuzzy Ultra-Compactification
R. C. Steinlage .................................................. 297
A Class of Weakly Induced Spaces and its Application to the Theory of
Embedding
Y-M. Liu and D-X. Zhang ....................................... 305
Vlll
Stable Fuzzy Compactness
K. C. Min and Y. B. Kim ....................................... 315
Fuzzy Matrices and Relational Equations
H. H. Cho ....................................................... 325
Embeddings of Z-Domains in Cubes
X-Q. XU ........................................................ 333
On Fuzzy Quantifiers
H. Thiele ........................................................ 343
Towards Formalized Integrated Theory of Fuzzy Logic
V. Novak ........................................................ 353
Chapter 4. Information Sciences
Recent Development in Fuzzy Database Systems and Applications
S. Miyamoto and M. Umano ..................................... 367
Factor Spaces and Fuzzy Tables
P. Z. Wang ...................................................... 377
Fuzzy Clustering with Multiple Objective Functions
M. Sato and Y. Sato ............................................. 387
The Effectiveness of Fuzzy Operators in Information Retrieval
J. H. Lee, W. Y. Kim, M. H. Kim and Y. J. Lee ................. 397
A Fuzzy Query Evaluation in Relational Databases
S. C. Park, C. S. Kim and D. S. Kim ............................ 407
A Solution Concept in Multiobjective Matrix Games with Fuzzy Payoffs
and Fuzzy Goals
M. Sakawa and I. Nishizaki ...................................... 417
On Classicalizing Fuzzy Databases
S. Shenoi ........................................................ 427
ix
A Cooperative Fuzzy Games for International Conflict Solving
F. Seo, M. Sakawa and I. Nishizaki .............................. 437
Consensus Degrees under Fuzziness via Ordered Weighted Average (OWA)
Operators
J. Kacprzyk and M. Fedrizzi ..................................... 447
A Fuzzy Programming Approach to Structured Linear Programs
M. Sakawa, M. Inuiguchi, K. Kato and K. Sawada ............... 455
A Necessary Soft Optimality Test in Interval Linear Programming Problems
M. Inuiguchi and M. Sakawa .................................... .465
Subject Index 475
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 com
munications between researchers of fuzzy logic and related systems and
the second to explore industrial applications of fuzzy technology, imple
menting human intelligent in machines and systems. The present book is
an outgrowth of contributions by the participants at the Congress. Selec
tions 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 Sci
ences. The first chapter on intelligent systems contains topics including
approximate reasoning, knowledge representation, computer vision and pat
tern recognition. The second chapter on engineering deals with intelligent
robotics, fuzzy logic control, industrial systems, manufacturing, image sig
nal 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, probabil
ity 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 tech
nical 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.