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The Truth Value Algebra of Type-2 Fuzzy Sets

The Truth Value Algebra of Type-2 Fuzzy Sets

Order Convolutions of Functions on the Unit Interval

by John Harding, Carol L. Walker and Elbert A. Walker
Hardback
Publication Date: 18/03/2016
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Type-2 fuzzy sets extend both ordinary and interval-valued fuzzy sets to allow distributions, rather than single values, as degrees of membership. Computations with these truth values are governed by the truth value algebra of type-2 fuzzy sets. The Truth Value Algebra of Type-2 Fuzzy Sets: Order Convolutions of Functions on the Unit Interval explores the fundamental properties of this algebra and the role of these properties in applications.

Accessible to anyone with a standard undergraduate mathematics background, this self-contained book offers several options for a one- or two-semester course. It covers topics increasingly used in fuzzy set theory, such as lattice theory, analysis, category theory, and universal algebra. The book discusses the basics of the type-2 truth value algebra, its subalgebra of convex normal functions, and their applications. It also examines the truth value algebra from a more algebraic and axiomatic view.
ISBN:
9781498735278
9781498735278
Category:
Algebra
Format:
Hardback
Publication Date:
18-03-2016
Publisher:
Taylor & Francis Inc
Country of origin:
United States
Pages:
234
Dimensions (mm):
234x156x20mm
Weight:
0.5kg

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You can find this item in:

Mathematics Applied mathematics Algebra Set theory Mathematical logic
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