An Introduction to Fuzzy Logic and Fuzzy Sets (Advances in Intelligent and Soft Computing) [Paperback]

James J. Buckley (Author), Esfandiar Eslami (Author)

Book Description

ISBN-10: 3790814474 | ISBN-13: 978-3790814477 | Publication Date: March 5, 2002 | Edition: 1

This book is an excellent starting point for any curriculum in fuzzy systems fields such as computer science, mathematics, business/economics and engineering. It covers the basics leading to: fuzzy clustering, fuzzy pattern recognition, fuzzy database, fuzzy image processing, soft computing, fuzzy applications in operations research, fuzzy decision making, fuzzy rule based systems, fuzzy systems modeling, fuzzy mathematics. It is not a book designed for researchers - it is where you really learn the "basics" needed for any of the above-mentioned applications. It includes many figures and problem sets at the end of sections.

Editorial Reviews

Review

From the reviews: "A well written book which enables to the reader fundamental orientation in the fuzzy logic. From the educational point of view the book is very well organized. … Majority of chapters begin with several motivation examples and at the end of each chapter there are a lot of solved and unsolved examples. … dedicated to undergraduate students as a textbook. … it may be suitable for readers from the application sphere who are not professionals in fuzzy logic but utilize some fuzzy methods … ." (Petr Vysoky, Neural Network World, Vol. 13 (4), 2003) "The book is an undergraduate textbook covering as an impressively broad range of topics … . The book is well-written … each of the chapters providing basic definitions, examples, and exercises. … The book is intended as an introductory textbook on the theory of fuzzy sets, functioning as the basis for a curriculum in fuzzy systems. … I would recommend the book to the reader who wants to get an introductory overview of how much of mathematics can be fuzzified." (Marc Pauly, Expert Update, Vol. 5 (2), 2002) "This book is an undergraduate introduction to the theory of fuzzy sets, giving basic information for beginners. … Each chapter ends with a set of relevant problems and exercises. … The book can be recommended as a good textbook for students and beginners in computer science, engineering or economics interested in non-probabilistic uncertainty modeling." (R. Mesiar, Zentralblatt MATH, Vol. 985, 2002)

From the Back Cover

This book is to be the starting point for any curriculum in fuzzy systems in fields like computer science, mathematics, business/economics and engineering. It covers the basics leading to: fuzzy clustering, fuzzy pattern recognition, fuzzy database, fuzzy image processing, soft computing, fuzzy applications in operations research, fuzzy decision making, fuzzy rule based systems, fuzzy systems modeling, fuzzy mathematics. It is not a book designed for researchers - it is where you really learn the "basics" needed for any of the above-mentioned applications.

Product Details

• Paperback: 295 pages
• Publisher: Physica-Verlag HD; 1 edition (March 5, 2002)
• Language: English
• ISBN-10: 3790814474
• ISBN-13: 978-3790814477
• Product Dimensions: 9 x 6.1 x 0.7 inches
• Shipping Weight: 15.2 ounces (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #1,735,000 in Books (See Top 100 in Books)

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5 of 5 people found the following review helpful:

5.0 out of 5 stars Concise, August 5, 2006

By 

Douglas A. Lefelhocz - See all my reviews

This review is from: An Introduction to Fuzzy Logic and Fuzzy Sets (Advances in Intelligent and Soft Computing) (Paperback)

Buckley and Eslami's notation and some of their ideas on fuzzy sets might go deeper than many others. I've found this book intriguing to say the least. You'll find this a very concise "no-nonsense" sort of math book. Ideas get explained in a few sentences or in a few paragraphs, and then come the exercises! And you'll find even more new ideas, not mentioned in the reading, in the exercises. I do like this sort of style of learning mathematics, because it actively gets you involved.
This book and others on fuzzy set theories do require a decent understaning of crisp set theory. So, if one hasn't taken a course or read a book on crisp set theory you might want to check out a copy of Seymour Lipschutz's Schaum's Outline "Theory and Problems of Set Theory." Knowing some basic calculus will also help. Some advantages of this book lie in that it helps one to separate the idea of fuzzy intersections and fuzzy unions from the standard and useful idea of t-norms and t-conorms. Sections on fuzzy geometry, fuzzy trignometry also seem interesting as these ideas have not yet gotten much development.
I think I've detected a potential error in the text in that it gives an integral for an equation that had to have had part of the integral as negative. But, this seems relatively minor. The book could easily get improved if the author(s) provided solved examples of their exercises, or at least answers. Something like a Schaum's Outline of Fuzzy Set Theory would be an excellent idea!
I appreciate simple things in this text like the authors not saying "prove this truth table..." and instead saying "prove or disprove...", and not saying "prove" in general, but rather saying "show".