Goguen Categories: A Categorical Approach to L-fuzzy Relations

Michael Winter

Goguen Categories: A Categorical Approach to L-fuzzy Relations
Format
Paperback
Publisher
Springer
Country
NL
Published
30 November 2010
Pages
208
ISBN
9789048175543

Goguen Categories: A Categorical Approach to L-fuzzy Relations

Michael Winter

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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.

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