Fuzzy Set Theory Foundations and Applications

Name: Fuzzy Set Theory Foundations and Applications
Price: 8.91 USD
Availability: InStock
ISBN: 9780133410587

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