Fuzzy Logic and Probability Applications: Bridging the Gap

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Timothy J. Ross, Jane M. Booker, W. Jerry Parkinson
SIAM, 2002 - Mathematics - 409 pages
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Probabilists and fuzzy enthusiasts tend to disagree about which philosophy is best and they rarely work together. As a result, textbooks usually suggest only one of these methods for problem solving, but not both. This book is an exception. The authors, investigators from both fields, have combined their talents to provide a practical guide showing that both fuzzy logic and probability have their place in the world of problem solving. They work together with mutual benefit for both disciplines, providing scientists and engineers with examples of and insight into the best tool for solving problems involving uncertainty. Fuzzy Logic and Probability Applications: Bridging the Gap makes an honest effort to show both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two. It provides clear descriptions of both fuzzy logic and probability, as well as the theoretical background, examples.
  

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Contents

Introduction
3
Fuzzy Set Theory Fuzzy Logic and Fuzzy Systems
29
Probability Theory
55
distributions
67
Bayesian Methods
73
Considerations for Using Fuzzy Set Theory and Probability Theory
87
Guidelines for Eliciting Expert Judgment as Probabilities or Fuzzy Logic
105
Applications
125
A Combined Fuzzy and Probability Approach
193
Aircraft Integrity and Reliability
219
Auto Reliability Project
243
Control Charts for Statistical Process Control
263
Fault Tree Logic Models
325
Uncertainty Distributions Using Fuzzy Logic
347
Signal Validation Using Bayesian Belief Networks and Fuzzy Logic
365
Index
393

Engineering Process Control
145

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About the author (2002)

Timothy J. Ross is Professor and Regents' Lecturer of Civil Engineering at the University of New Mexico. He received his PhD degree in Civil Engineering from Stanford University, his MS from Rice University, and his BS from Washington State University. Professor Ross has held previous positions as Senior Research Structural Engineer, Air Force Weapons Laboratory, from 1978 to 1986; and Vulnerability Engineer, Defense Intelligence Agency, from 1973 to 1978. Professor Ross has authored more than 120 publications and has been active in the research and teaching of fuzzy logic since 1983. He is the founding Co-Editor-in-Chief of the "International Journal of Intelligent and Fuzzy Systems" and the co-editor of "Fuzzy Logic and Control: Software and Hardware Applications," and most recently co-editor of "Fuzzy Logic and Probability Applications: Bridging the Gap," Professor Ross is a Fellow of the American Society of Civil Engineers. He consults for industry and such institutions as Sandia National Laboratory and the National Technological University, and is a current Faculty Affiliate with the Los Alamos National Laboratory. He was recently honored with a Senior Fulbright Fellowship for his sabbatical study at the University of Calgary, Alberta, Canada.

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