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Fuzzy Set Theory Foundations and Applications

ISBN-10: 0133410587

ISBN-13: 9780133410587

Edition: 1997

Authors: G. J. Klir, Hsien Yuan-Yu, Ute H. St. Clair, Bo Yuan

List price: $82.00
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Book details

List price: $82.00
Copyright year: 1997
Publisher: Prentice Hall PTR
Publication date: 4/17/1997
Binding: Hardcover
Pages: 256
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.100
Language: English

George J. Klir is Distinguished Professor Emeritus at Binghamton University.

Preface
Introduction
Information, Uncertainty, and Complexity
Measurement and Uncertainty
Language and Vagueness
The Emergence of Fuzzy Set Theory
Fuzzy Set Theory Versus Probability Theory
Classical Logic
Introduction
Propositional Logic
Predicate Logic
Classical Set Theory
Basic Concepts and Notation
Set Operations
Fundamental Properties
Characteristic Functions of Crisp Sets
Other Concepts
Fuzzy Sets: Basic Concepts and Properties
Restrictions of Classical Set Theory and Logic
Membership Functions
Representations of Membership Functions
Constructing Fuzzy Sets
Operations on Fuzzy Sets
Fuzzy Sets: Further Properties
a-Cuts of Fuzzy Sets
a-Cut Representation
Cutworthy Properties of Fuzzy Sets
Extension Principle
Measurement of Fuzziness
Classical Relations
Introduction
Representations
Equivalence Relations
Partial Orderings
Projections and Cylindric Extensions
Fuzzy Relations
Introduction
Representations
Operations on Binary Fuzzy Relations
Fuzzy Equivalence Relations and Compatibility Relations
Fuzzy Partial Orderings
Projections and Cylindric Extensions
Fuzzy Arithmetic
Fuzzy Numbers
Arithmetic Operations on Intervals
Arithmetic Operations on Fuzzy Numbers
Fuzzy Logic
Introduction
Multivalued Logics
Fuzzy Propositions
Fuzzy Quantifiers
Linguistic Hedges
Approximate Reasoning
Applications: A Survey
An Historical Overview
Established Applications
Prospective Applications
Illustrative Examples
References for Applications