John Harding
The Truth Value Algebra of Type-2 Fuzzy Sets: Order Convolutions of Functions on the Unit Interval - Chapman & Hall / CRC Monographs and Research Notes in Mathematics John Harding 1st edition

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The Truth Value Algebra of Type-2 Fuzzy Sets: Order Convolutions of Functions on the Unit Interval - Chapman & Hall / CRC Monographs and Research Notes in Mathematics

John Harding

1st edition

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.

254 pages, 30 black & white illustrations

Media	Books Hardcover Book (Book with hard spine and cover)
Released	March 9, 2016
ISBN13	9781498735278
Publishers	Taylor & Francis Inc
Pages	234
Dimensions	236 × 160 × 21 mm · 510 g
Language	English