LITERATURE REVIEW OF FUZZY SET THEORY

ABSTRACT

Fuzzy set theory, which was first proposed by the researcher Zadeh (1965), has become a very important tool to solve problems and it provides an appropriate framework for representing vague concepts by allowing partial membership. The different properties of the notions of union, intersection and its complement in the given context of fuzzy sets were established. To be specific, a separation theorem for convex fuzzy sets was proved without requiring that the fuzzy sets be disjoint. This notion appears to be particularly useful in applications involving pattern classification and other related problems.

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