The Truth Value Algebra of Type-2 Fuzzy Sets : Order Convolutions of Functions on the Unit Interval Hardback
Part of the Chapman & Hall/CRC Monographs and Research Notes in Mathematics series
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.
- Format: Hardback
- Pages: 234 pages, N/A; 30 Illustrations, black and white
- Publisher: Taylor & Francis Inc
- Publication Date: 04/03/2016
- Category: Set theory
- ISBN: 9781498735278
- PDF from £37.79