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Książka Goguen Categories Michael Winter

Goguen Categories

A Categorical Approach to L-fuzzy Relations

Autor: Michael Winter
Język: Angielski
Oprawa: Twarda
Wydawca: Springer-Verlag New York Inc.
Dostępność: Dostępna u dostawcy w małych ilościach
Wysyłamy za 11-15 dni
475.99 zł
Goguen categories extend the relational calculus and its categorical formalization to the fuzzy worl...

Informacje o książce

Autor
Michael Winter
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2007
strony
208
EAN
9781402061639
ISBN
1402061633
Enbook ID
01417308
Wydawca
Springer-Verlag New York Inc.
Waga
1090
Wymiary
155 x 235 x 22

Pełny opis

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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