Fuzzy Sets and Fuzzy Logic: Theory and Applications
||Author: George J. Klir, Bo Yuan|
List Price: $89.00
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Publisher: Pearson Education POD (11 May, 1995)
Sales Rank: 152,894
Average Customer Rating: 4.67 out of 5
Customer ReviewsRating: 4 out of 5
First bible of fuzzy systems theory since Dubois and Prade.
A comprehensive and authoritative presentation of developments in the mathematics of fuzzy systems theory over the past thiry years. While the basic mathematics are presented, this book is not for the casual reader, but for those seriously interested in fuzzy systems theory. If the reader does not have a good mathematical background, he or she will find this book tough going. Coverage of theoretical fuzzy concepts is quite complete, including theory of fuzzy sets, fuzzy arithmetic, fuzzy relations, possiblity theory, fuzzy logic and uncertainty-based information.
The applications section presents theory which could be useful in applications rather than the applications themselves. References are given, but no distinction is made between theoretical work and real-world applications, and many of the references are old and out-of-date.
For a reference book on fuzzy mathematics, this book is superb; as a pointer to real-world applications, it leaves something to be desired.
Rating: 5 out of 5
Robust treatment of fuzzy logic has interdisciplinary appeal
George and Bo have been as thorough and lucid in preparing this book as well as George explicated systems thinking in the very first book of his I read, "An Approach to General Systems Theory." Here, as there, without compromising mathematical rigor, the goal of this book is to elaborate its subject matter in such a robust manner that it has multidisciplinary appeal. As always, the reader is given a flexible, almost interactive, access to the what, why and how of fuzzy thinking. Despite the exception taken by Professor Lotfi A. Zadeh, the "founder of fuzzy logic," the percipient reader will appreciate the authors' unusual association of "fuzzy measure," that is, the degree of belief that a particular element belongs to a crisp set, (not the degree of membership in the set), with Possibility Theory so as to clarify the differences between fuzzy set theory and probability theory. The illustrative applications are not only case studies that one may pick and choose from for examination and emulation but also constitute incontrovertible evidence of the successful and promising realization of the fuzzy paradigm. As a former professor of engineering at Rutgers University, I found the 79-page Instructor's manual helpful for self- or extended study and I assume it would be valuable for teaching. I have read many books on fuzzy logic and I judge this to be the most balanced to date, (early 1998), - not filled with C++ code or trying to sell a software package nor is it theoretically daunting - it is simply an inviting demonstration of how fuzzy logic clears up foggy modeling and analysis.
Rating: 5 out of 5
One of the most important book to learn about fuzzy logic
The book presents the mathematical theory of fuzzy logic including theorems and demonstrations. There are one part of applications of this logic in many distint areas like engineering, medicine, economics and others.
· An Introduction to Fuzzy Sets: Analysis and Design (Complex Adaptive Systems)