Fuzzy Sets from a Mathematical-Naïve Point of View

Enric Trillas, C. Alsina · Studies in fuzziness and soft computing · 2002

This paper introduces, in a naïve style, a symbolic and axiomatic generalization of Set Theory, the Loose-Set Theory, as a framework for the Standard Theories of Fuzzy Sets. Those theories are placed inside Set Theory and, among them, the case of Functionally Expressible Loose-Set Theories are distinguished as isomorphic to a very general Fuzzy Set Theory.

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