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Indexed identity and fuzzy set theory

Adonai S. Sant'Anna
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Abstract

We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' predicates, which corresponds to `fuzzification' of properties, in an intuitive sense. It can be established a relationship between this indexed mathematics and fuzzy mathematics. We show some few examples that illustrate our ideas.

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BibTeXRIS

Adonai S. Sant'Anna. 1999-11-01. Indexed identity and fuzzy set theory. https://arxiv.org/abs/math/9910182

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