The Truth Value Algebra Of Type-2 Fuzzy Sets

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    The Truth Value Algebra of Type-2 Fuzzy Sets
    Order Convolutions of Functions on the Unit Interval
    By: John Harding
    Publisher:
    Chapman and Hall/CRC
    Print ISBN: 9781498735278, 1498735274
    eText ISBN: 9781498735292, 1498735290
    Edition: 1st
    Copyright year: 2016
    Format: PDF
    Available from $ 23.18 USD
    SKU 9781498735292R90
    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.
     

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