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9780898715255 Academic Inspection Copy

Fuzzy Logic and Probability Applications

Bridging the Gap
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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 give one method of solving problems or the other, not both. This book is an exception. The authors, investigators from both fields, have combined their talents to provide a practical guide that shows 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 and insight into the best tool to use for solving problems involving uncertainty and/or probability. They even demonstrate useful combinations of the two techniques!
Preface; Section I. Fundamentals; 1. Introduction; 2. Fuzzy Set Theory, Fuzzy Logic, and Fuzzy Systems; 3. Probability Theory; 4. Bayesian Methods; 5. Considerations for Using Fuzzy Set Theory and Probability Theory; 6. Guidelines for Eliciting Expert Judgment as Probabilities or Fuzzy Logic; Section II. Applications; 7. Image Enhancement. Probability Versus Fuzzy Expert Systems; 8. Engineering Process Control; 9. Structural Safety Analysis. A Combined Fuzzy and Probability Approach; 10. Aircraft Integrity and Reliability; 11. Auto Reliability Project; 12. Control Charts for Statistical Process Control; 13. Fault Tree Logic Models; 14. Uncertainty Distributions Using Fuzzy Logic; 15. Signal Validation Using Bayesian Belief Networks and Fuzzy Logic.
Shows both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two.
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