Téléchargez le livre : Goguen Categories

Goguen Categories

A Categorical Approach to L-fuzzy Relations de

Éditeur :

Springer


Collection :

Trends in Logic

Paru le : 2007-08-14

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Description
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.
Pages
208 pages
Collection
Trends in Logic
Parution
2007-08-14
Marque
Springer
EAN papier
9781402061639
EAN PDF
9781402061646
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
20
Taille du fichier
2857 Ko
Prix
94,94 €

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