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The Truth Value Algebra of Type-2 Fuzzy Sets: Order Convolutions of Functions on the Unit Interval

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by John Harding & Carol L. Walker & Elbert A. Walker
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The Truth Value Algebra of Type-2 Fuzzy Sets: Order Convolutions of Functions on the Unit Interval by John Harding & Carol L. Walker & Elbert A. Walker

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.

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Ebook Details
Pages: 234
Size: 2.6 MB
Publisher: Chapman and Hall/CRC
Date published:   2016
ISBN: 9781498735292 (DRM-PDF)

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Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Set Theory

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01/19/2017
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