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

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.