Goguen Categories

Name: Goguen Categories
Brand: Springer-Verlag New York Inc.
SKU: 9781402061639
Price: 116.02 EUR
Availability: InStock

A Categorical Approach to L-fuzzy Relations

Автор: Michael Winter

Език:

Корици: С твърди корици

Издател: Springer-Verlag New York Inc.

Наличност: Външен склад в ограничено количество

Изпращаме след 13-18 дни

116.02 € 226.91 лв

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

Информация за книгата

Автор

Michael Winter

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2007

страници

208

EAN

9781402061639

ISBN

1402061633

Enbook ID

01417308

Издател

Springer-Verlag New York Inc.

Теглоt

1090

Размери

155 x 235 x 22

Пълно описание

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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