Goguen Categories

Name: Goguen Categories
Brand: Springer
SKU: 9789048175543
Price: 550.27 RON
Availability: InStock

A Categorical Approach to L-fuzzy Relations

Autor: Michael Winter

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Editura: Springer

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Goguen categories extend the relational calculus and its categorical formalization to the fuzzy worl...

Informații despre carte

Autor

Michael Winter

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

208

EAN

9789048175543

ISBN

9048175542

Enbook ID

01975704

Editura

Springer

Greutate

343

Dimensiuni

155 x 235 x 11

Descriere completă

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.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.

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Goguen Categories

A Categorical Approach to L-fuzzy Relations

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