Goguen Categories: A Categorical Approach to L-fuzzy Relations

Description

Publisher: Springer
Language: English
ISBN: 1402061633
Paperback: 208 pages
Data: Jul 2007
Format: PDF
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.

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