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In this paper we prove that if S is a hypersemigroup, then the set F(S) of all fuzzy subsets of S is a poe-semigroup, that is a partially ordered semigroup with the greatest element e. Furthermore, we prove that S can be embedded F(S).
In this paper, we introduce the concepts of generalized fuzzy ®-ideals and fuzzy ®-ideals of semigroups, and study their related properties by fuzzy points.
In this paper, we introduce definitions of fuzzy regular semigroups and redefine fuzzy regular subsemigroups using the concept of fuzzy spaces introduced by Dib. Also we study their relationships between fuzzy regular subsemigroups and classical definitions of fuzzy regular subsemigroups.
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