Abstract

Fuzzy semigroup is an algebraic extension of semigroup. It has found application in fuzzy coding theory, fuzzy nite state machines and fuzzy languages. In this paper, a comprehensive literature review on fuzzy semigroup theory is realized. We will begin with a review of fuzzy groups which heavily inspired the notion of fuzzy semigroups put forth by the algebraists. Subsequently, a brief tour of semigroup theory is considered as a precursor to the emerging subject.

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