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Table of Contents-Fuzzy Logic with Engineering Applications, T. Ross Chapter 1 - Introduction (65% new) -Ambiguity vs. Chance -The Great Debate: Probability and Fuzzy -Membership vs. likelihood -Sets as Points Chapter 2 -Set Theory (15% new) -Classical set operations -Fuzzy set operations -t-norms and t-conorms, and negations Chapter 3 -Relations (10% new) -Classical relations -Fuzzy relations -Assignment methods -Similarity Chapter 4 - Fuzzification and Defuzzification Methods (25% new) -Introduction -Lambda cuts -Reduction to scalars Chapter 5 -Logic and Fuzzy Systems (35% new) -Classical Propositional Logic -Fuzzy Logic -Other logics (Klir) -Rules (also material from old Chap. 8) -Inference methods (Mamdani, TSK, Tsukamoto) Chapter 6 - Membership Function Development (5% new) -Intuition -Deductive Inference -Rank ordering -Generation methods +Neural networks +Genetic Algorithms +Induction Reasoning Chapter 7 - Automated Methods for Generating Rules and Membership Functions (100% new) -Input/Output data -Automated methods (MATLAB-based) -Learning from examples (Wang, Mendell paper) -Modified learning from examples -Least squares (batch and recursive) -Clustering -Gradient descent -ANFIS (get paper from files) -MATLAB Software Chapter 8 - Fuzzy Systems Simulation (50% new) -Nonlinear systems (from old text and new problems-take out ext. princ) -Complex systems (from students case studies) Chapter 9 - Rule-base Reduction (100% new) -Introduction -SVD method -Combs method -Review of 3 previous methods Chapter 10 - Decision Making (0% new) -Ordering and Ranking (MIN and MAX) -Preference and Consensus -Multi-objective Decision Making -Fuzzy Bayesian Decision Making (shortened section) Chapter 11 - Classification and Pattern Recognition (10% new) -Equivalence methods -Hard c-means -Fuzzy c-means -Classification metrics -Similarity -Approaching Degree (fuzzy vectors) -Image Processing -Syntactic Recognition Chapter 12 - Fuzzy Arithmetic (0% new) -Extension principle -Interval based methods -Vertex method -DSW method Chapter 13 - Fuzzy Control (40% new) -Introduction -Process Control -Feedback Control -Case Studies in Control Chapter 14 - Miscellaneous Fuzzy Applications (25% new) -Cognitive Maps -Statistical Process Control -Optimization -Linear Regression -System identification Chapter 15 - Alternative Methods: Generalized Information Theories (30% new) -Montone measures -Evidence theory -Possibility theory (take much out) Empirical distributions (Sunil's work) Examples (Sunil's work) -Probability theory -Uncertainty metrics (just summarize these) APPENDICES: -Answers to selected exercise problems (100% new) -Axiomatic differences between fuzzy set theory and probability theory (0% new) INDEX

Library of Congress Subject Headings for this publication: Engineering mathematics, Fuzzy logic