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Fuzzy Set Theory - and Its Applications [Hardcover]

Hans-Jürgen Zimmermann (Author)
5.0 out of 5 stars  See all reviews (2 customer reviews)


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Hardcover, January 31, 1991 --  
Paperback --  

Book Description

079239075X 978-0792390756 January 31, 1991 2nd
Since its inception 20 years ago the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of this theory can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, pattern recognition, robotics and others.
Theoretical advances, too, have been made in many directions, and a gap has arisen between advanced theoretical topics and applications, which often use the theory at a rather elementary level. The primary goal of this book is to close this gap - to provide a textbook for courses in fuzzy set theory and a book that can be used as an introduction.
This revised book updates the research agenda, with the chapters of possibility theory, fuzzy logic and approximate reasoning, expert systems and control, decision making and fuzzy set models in operations research being restructured and rewritten. Exercises have been added to almost all chapters and a teacher's manual is available upon request.

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Editorial Reviews

Review

`... Professor Zimmermann's treatise is a major contribution to the literature of fuzzy sets and decision analysis. '
L.A. Zadeh from the Foreword
`I highly recommend this text for students, both novice and advanced in theory and applications, academics and industrial researchers. Of course, this book is a must for all academic libraries. Indeed, Professor Zimmermann, who as a researcher, author, editor and organizer of international meetings has contributed so much for the cause of the fuzzy sets and systems and the fuzzy community, deserves our compliments.'
Madan M. Gupta, Intelligent Systems Research Laboratory, University of Saskatchewan, Canada
`...the extensive bibliography, as well as the excellent chapters on applications are of wide interest. Those teaching courses in fuzzy set theory, especially in a more practical rather than abstract context, would do well to consider this textbook. Zimmermann has compiled a collection of information that is useful, clearly presented, and with the latest revision, reflects much current research.'
International Journal of General Systems, 21 (1992)
`The up-to-date content as well as the author's style and method of presentation make the book to be one of the best presentations of the whole field of fuzziness and will maintain its role as one of the preferred introductions into that topic.'
European Journal of Operations Research

Product Details

  • Hardcover: 432 pages
  • Publisher: Springer; 2nd edition (January 31, 1991)
  • Language: English
  • ISBN-10: 079239075X
  • ISBN-13: 978-0792390756
  • Product Dimensions: 9.1 x 6.2 x 1.4 inches
  • Shipping Weight: 1.7 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #3,733,350 in Books (See Top 100 in Books)

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Average Customer Review
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4 of 5 people found the following review helpful:
5.0 out of 5 stars An easy and practical approach to fuzzy set theory, February 1, 2004
By 
SamBK (United States) - See all my reviews
The book gives a clear and intuitive description of fuzzy math and its application. The discussions are done neatly and nicely. It doesn't get into hardcore math discussions very much; instead, it focuses on applications and practice. Therefore, it doesn't take much time to get the idea, and you are not bothered with very complex math proofs. The level of the theory is also limited to what needed in application. To my belief this is one of the best books for engineers and applied mathematicians.
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4 of 6 people found the following review helpful:
5.0 out of 5 stars Review about Zimmermann's Book !, January 16, 2001
By 
Gleiber Royes (Florianópolis, Brazil) - See all my reviews
This book is a kind of essential book. The growth in Fuzzy Science has showed more and more possibilities in applications of its concepts. The book shows the vast applicability of Fuzzy in details and how this new approach can be useful in domains with high degree of uncertainty.

I really can recommend the reading of this book for all persons who wishes understand more about Fuzzy !

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Inside This Book (learn more)
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First Sentence:
Most of our traditional tools for formal modeling, reasoning, and computing are crisp, deterministic, and precise in character. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
fuzzy order relation, pointwise similarity, point semantic unification, evidential logic rule, fuzzy data analysis, least prejudiced distribution, fuzzy linear programming, defuzzified value, heating system example, date criterion, fuzzy graph, following fuzzy sets, support logic programming, maximizing set, fuel injection timing, factual model, dual logic, fuzzy technology, optimal dividend, relative cardinality, truth qualification, fuzzy event, fuzzy set models, probabilistic sets, fuzzy function
Key Phrases - Capitalized Phrases (CAPs): (learn more)
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