Chapter 7. Fuzzy Set Theory

  1. George J. Klir

Published Online: 7 NOV 2005

DOI: 10.1002/0471755575.ch7

Book Title

Uncertainty and Information: Foundations of Generalized Information Theory

Uncertainty and Information: Foundations of Generalized Information Theory

Additional Information

How to Cite

Klir, G. J. (2005) Fuzzy Set Theory, in Uncertainty and Information: Foundations of Generalized Information Theory, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471755575.ch7

Author Information

  1. Binghamton University—SUNY, USA

Publication History

  1. Published Online: 7 NOV 2005
  2. Published Print: 4 NOV 2005

ISBN Information

Print ISBN: 9780471748670

Online ISBN: 9780471755579

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Keywords:

  • fuzzy sets;
  • α-cuts of fuzzy sets;
  • operations on fuzzy sets;
  • fuzzy numbers;
  • fuzzy arithmetic;
  • fuzzy relations;
  • fuzzy logic;
  • fuzzy systems

Summary

Relevant concepts of fuzzy set theory are introduced in this chapter to make the book self-contained. The focus is on standard fuzzy sets, but an overview of well-known nonstandard fuzzy sets is also included. The following concepts are covered for standard fuzzy sets: α-cut representation, operations on fuzzy sets, fuzzy numbers and fuzzy arithmetic, fuzzy relations, approximate reasoning, and basic ideas regarding fuzzy systems.

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