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

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.

General

Imprint:	Productivity Press
Country of origin:	United States
Series:	Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Release date:	March 2016
First published:	2016
Authors:	John Harding • Carol L. Walker • Elbert A. Walker
Dimensions:	234 x 156 x 21mm (L x W x T)
Format:	Hardcover
Pages:	234
ISBN-13:	978-1-4987-3527-8
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	1-4987-3527-4
Barcode:	9781498735278

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