Fuzzy Logic Foundations and Industrial Applications

339 Pages·1996·21.638 MB·English

by  Ronald R. Yager (auth.), Da Ruan (eds.)

FUZZY LOGIC
FOUNDATIONS
AND INDUSTRIAL
APPLICATIONS
INTERNATIONAL SERIES IN
INTELLIGENT TECHNOLOGIES
Prof. Dr. Dr. h.c. Hans-Jiirgen Zimmermann, Editor
European Laboratory for Intelligent
Techniques Engineering
Aachen, Germany
Other books in the series:
Applied Research in Fuzzy Technology
by Anca L. Ralescu
Analysis and Evaluation of Fuzzy Systems
by Akira Ishikawa and Terry L. Wilson
Fuzzy Logic and Intelligent Systems
edited by Hua Li and Madan Gupta
Fuzzy Set Theory and Advanced Mathematical
Applications
edited by Da Ruan
Fuzzy Databases: Principles and Applications
by Frederick E. Petry with Patrick Bose
Distributed Fuzzy Control of Multivariable Systems
by Alexander Gegov
Fuzzy Modelling: Paradigms and Practices
by Witold Pedrycz
FUZZY LOGIC
FOUNDATIONS
AND INDUSTRIAL
APPLICATIONS
EDITED BY
Oa Ruan
Belgian Nuclear Research Centre (SCK' CEN)
Mol, Belgium
KLUWER ACADEMIC PUBLISHERS
Boston/London/Dordrecht
Distributors for North America:
Kluwer Academic Publishers
101 Philip Drive
Assinippi Park
Norwell, Massachusetts 02061 USA
Distributors for all other countries:
Kluwer Academic Publishers Group
Distribution Centre
Post Office Box 322
3300 AH Dordrecht, THE NETHERLANDS
Library of Congress Cataloging~in~Publication Data
A CI..P. Catalogue record for this book is available
from the Library of Congress.
ISRN-13: 978-1-4612-8627-1 e-ISRN-13; 978-1-4613-1441-7
001: 10.1007/978-1-4613-1441-7
Copyright © 1996 by Kluwer Academic Publishers
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, mechanical, photo
copying, recording, or otherwise, without the prior written pennission of the
publisher, Kiuwer Academic Publishers, tol Philip Drive, Assinippi Park, Norwell,
Massachusetts 02061
Primed ona cid-free paper.
to Hans-jurgen Zimmermann
for 25 years of contribution
to fuzzy logic theory and applications
CONTENTS
CONTRIBUTORS xiii
FOREWORD
George]. Klir xv
EDITOR'S PREFACE
Da Ruan xvii
Part 1: FUZZY LOGIC FOUNDATIONS
1 A UNIFIED VIEW OF CASE BASED REASONING
AND FUZZY MODELING
Ronald R. Yager 5
1 Introduction 5
2 Fuzzy systems modeling 6
3 Case based reasoning 8
4 Solution composition 17
5 Reinforcement learning for process based cases 21
6 Conclusion 23
REFERENCES 24
2 OPEN-MINDEDNESS AND PROBABIUTIES VERSUS
POSSmIUTIES
Ellen Risdal 27
1 Fuzzy sets and some of Hans-Jiirgen Zimmermann's con-
tributions 27
vii
viii Fuzzy Logic Foundations and Industrial Applications
2 Two aspects of the probability-possibility discussion and
the probabilistic fuzzy-settians 29
3 The TEE model for grades of membership 32
4 The connectives in the TEE model 43
5 The law of the excluded middle, idempotency and asso-
ciativity 48
6 Conclusion 51
REFERENCES 52
3 FUZZY DERNA TIVES AND FUZZY CAUCHY
PROBLEMS USING LP METRIC
Menahem Friedman, Ming Ma, and Abraham Kandel 57
1 Introduction 57
2 Fuzzy derivatives 58
3 A first order fuzzy differential equation 64
4 Examples 69
5 Concluding remarks 71
REFERENCES 71
4 ON THE ClASSIFICATION AND THE
DEPENDENCIES OF THE ORDERING METHODS
Xuzhu Wang and Etienne Kerre 73
1 Classification of the ordering indices 73
2 Brief introduction to the first class of
ordering approaches 76
3 Investigation of existing links between the indices in the
first class of ordering methods 80
4 Concluding remarks 87
REFERENCES 88
Part 2: FUZZY LOGIC SYSTEMS
5 POSSIBILITY MODEL AND ITS APPUCATIONS
Hideo Tanaka 93
1 Introduction 93
2 Possibility analysis based on fuzzy numbers 94
Contents ix
3 Possibility analysis based on fuzzy vectors 98
4 Identification method of possibility distributions 102
5 Interval regression analysis 104
6 Concluding remarks 107
REFERENCES 109
6 INTERACTIVE FUZZY PROGRAMMING FOR
MULTIOBJECTIVE 0-1 PROGRAMMING PROBLEMS
THROUGH GENETIC ALGORITHMS WITH DOUBLE
STRINGS
Masatoshi Sakawa and Toshihiro Shibano III
1 Introduction 112
2 Interactive fuzzy programming through
genetic algorithms 114
3 Genetic algorithms with double strings 118
4 Multiobjective project selection problems 122
5 Conclusion 125
REFERENCES 125
7 THE HANDLING OF FUZZY OBJECTIVE
FUNCTIONS IN (MULTICRITERIA) UNEAR
PROGRAMS
Heinrich J. Rommelfanger 129
1 Introduction 129
2 The multiobjective approach 130
3 Compromise objective function(s) 132
4 Satisfying solutions 138
5 Conclusions 142
REFERENCES 142
8 MAKING DECISIONS ON FUZZY INTEGER LINEAR
PROGRAMMING PROBLEMS
Francisco Herrera and Jose Luis Verdegay 147
1 Introduction 147
2 Theoretical results 150
3 An algorithm for PILP problems 152
x Fuzzy Logic Foundations and Industrial Applications
4 Numerical example 155
5 The parametric right-hand-side in 0-1 fuzzy program-
ming problems 156
6 Choosing a solution 158
REFERENCES 162
9 INFORMATION DIFFUSION PRINCIPLE AND
APPUCATION IN FUZZY NEURON
Chongfu Huang and Da Ruan 165
1 Introduction 165
2 Incompleteness and fuzziness 168 .
3 Information distribution 170
4 Information diffusion principle 177
5 Empirical distribution function, histogram and diffusion
estimator 182
6 Normal information diffusion 184
7 Application in BP neural network 188
8 Conclusion 195
REFERENCES 195
Part 3: FUZZY LOGIC INDUSTRIAL APPLICATIONS
10 SOME APPllCATION EXAMPLES OF FUZZY SET
THEORY
Hans Hellendoorn 201
1 Introduction 201
2 Automatic transmission control 202
3 The fuzzy washing machine 208
4 The H2-leakage diagnosis system 210
5 Fuzzy traffic technology 215
6 Fuzzy logic in telecommunications 218
REFERENCES 224
11 RECENT SUCCESSFUL FUZZY LOGIC
APPUCATIONS IN INDUSTRIAL AUTOMATION
Constantin von Altrock 225
Contents xi
1 Fuzzy logic in industrial automation 225
2 Merging fuzzy logic and PLCs 228
3 Application case studies 229
4 Conclusions 242
REFERENCES 245
12 FIPS-FOUNDATIONS OF A NEW TOOL FOR
PROCESS CONTROL PROBLEMS
Siegfried Gottwald and Manfred Locke 247
1 Start-up and shut-down control of industrial plants 247
2 General fundamentals of the system FIPS 250
3 Theoretical basis of the model-building module 254
4 Theoretical background for the logic module 259
REFERENCES 263
13 INDUSTRIAL APPLICATIONS OF FUZZY LOGIC
AND NEURAL NETWORKS IN CHINA
Xiaozhong Li 265
1 Introduction 265
2 Applications in process controls without a closed loop 266
3 Applications in replacing PID techniques 269
4 Applications in electricity consumers 270
5 An intelligent fuzzy control system 271
6 The future work on fuzzy industrial applications 272
REFERENCES 273
14 THE POTENTIAL OF FUZZY LOGIC APPLICATIONS
IN INDUSTRY
Arien ]. van der Wal 275
1 Introduction 276
2 Industrial controller design 277
3 Case study: Omron's industrial temperature controller
E5AF 280
4 Case study: overshoot suppression with FL by set-point
scheduling 287
5 Case study: ESI00 industrial controller 289