Fuzzy Set Theory-and Its Applications

by Hans-Jürgen Zimmermann

Overview

Since its inception, the theory of fuzzy sets has advanced in a variety of ways and in many disciplines. Applications of fuzzy technology can be found in artificial intelligence, computer science, control engineering, decision theory, expert systems, logic, management science, operations research, robotics, and others. Theoretical advances have been made in many directions.

The primary goal of Fuzzy Set Theory - and its Applications, Fourth Edition is to provide a textbook for courses in fuzzy set theory, and a book that can be used as an introduction. To balance the character of a textbook with the dynamic nature of this research, many useful references have been added to develop a deeper understanding for the interested reader.

Fuzzy Set Theory - and its Applications, Fourth Edition updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. Chapters have been updated and extended exercises are included.

Product Details

ISBN-13:	9789401038706
Publisher:	Springer Netherlands
Publication date:	09/25/2012
Edition description:	4th ed. 2001. Softcover reprint of the original 4th ed. 2001
Pages:	514
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1 Introduction to Fuzzy Sets.- 1.1 Crispness, Vagueness, Fuzziness, Uncertainty.- 1.2 Fuzzy Set Theory.- I: Fuzzy Mathematics.- 2 Fuzzy Sets-Basic Definitions.- 3 Extensions.- 4 Fuzzy Measures and Measures of Fuzziness.- 5 The Extension Principle and Applications.- 6 Fuzzy Relations and Fuzzy Graphs.- 7 Fuzzy Analysis.- 8 Uncertainty Modeling.- II: Applications of Fuzzy Set Theory.- 9 Fuzzy Logic and Approximate Reasoning.- 10 Fuzzy Sets and Expert Systems.- 11 Fuzzy Control.- 12 Fuzzy Data Bases and Queries.- 13 Fuzzy Data Analysis.- 14 Decision Making in Fuzzy Environments.- 15 Applications of Fuzzy Sets in Engineering and Management.- 16 Empirical Research in Fuzzy Set Theory.- 17 Future Perspectives.- Abbreviations of Frequently Cited Journals.

Editorial Reviews

From the preface to the Fourth Edition by H.-J. Zimmermann
‘I hope that this new edition of my textbook will help to keep respective courses in universities and elsewhere up-to-date and challenging and motivating for students as well as professors. It may also be useful for practitioners that want to update their knowledge of fuzzy technology and look for new applications in their area.'

From the Publisher

New edition of a text explaining the theory's concepts and applications, and how they relate to their classical counterparts. Abundant examples show how the theory can be applied to the solution of realistic problems--and how it can lead to results not obtainable by classical methods. Although the field has rapidly evolved--fuzzy set theory, artificial neural net, and genetic algorithms have moved closed together and are now known as "computational intelligence," this text continues to provide access at a basic level. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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