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Goguen Categories

Goguen Categories

von Michael Winter
Softcover - 9789048175543
106,99 €
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Beschreibung

Goguen categories extend the relational calculus and its categorical formalization to the fuzzy world. Starting from the fundamental concepts of sets, binary relations and lattices this book introduces several categorical formulations of an abstract theory of relations such as allegories, Dedekind categories and related structures. It is shown that neither theory is sufficiently rich to describe basic operations on fuzzy relations. The book then introduces Goguen categories and provides a comprehensive study of these structures including their representation theory, and the definability of norm-based operations.

The power of the theory is demonstrated by a comprehensive example. A certain Goguen category is used to specify and to develop a fuzzy controller. Based on its abstract description as well as certain desirable properties and their formal proofs, a verified controller is derived without compromising the - sometimes - intuitive choice of norm-based operations by fuzzy engineers.

A Categorical Approach to L-fuzzy Relations

Details

Verlag Springer Netherland
Ersterscheinung November 2010
Maße 23.5 cm x 15.5 cm
Gewicht 341 Gramm
Format Softcover
ISBN-13 9789048175543
Auflage Softcover reprint of hardcover 1st ed. 2007
Seiten 208

Schlagwörter