Accessible to anyone with a standard undergraduate mathematics background, this self-contained book explores the fundamental properties of the type-2 truth value algebra and the role of these properties in applications. 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 ...
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Accessible to anyone with a standard undergraduate mathematics background, this self-contained book explores the fundamental properties of the type-2 truth value algebra and the role of these properties in applications. 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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