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On the mathematical foundations of fuzzy set theory

机译：On the mathematical foundations of fuzzy set theory

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In this paper we provide arguments supporting the idea that module theory in the symmetric, monoidal closed category of complete lattices and join-preserving maps is a mathematical framework for fuzzy set theory as developed by Zadeh. In this context, quantale-enriched category theory is a well established mathematical technique allowing an internal development of various concepts from fuzzy set theory - e.g. the fuzzy power set, Zadeh's forward operator or the fuzzy inclusion order.

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