On a Categorical Generalization of the Concept of Fuzzy Set
Sergejs Solovjovs
Broschiertes Buch

On a Categorical Generalization of the Concept of Fuzzy Set

Basic Definitions, Properties, Examples

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Revision with unchanged content. The notion of fuzzy set introduced by L. A. Zadeh in 1965 and generalized by J. A. Goguen in 1967 gave rise to the study of different fuzzy structures. Among other problems some authors presented different approaches to the foundations of fuzzy sets. Following the example this book introduces a new categorical approach to the concept of fuzziness through the notion of fuzzy object in a given category. The new notion not only generalizes the standard ones used in the literature, but also provides a wide range of new sometimes even unexpected examples and applica...