On Fuzzy Sets in Hypersemigroups

Niovi Kehayopulu

Abstract

The concept of a fuzzy set, introduced by Zadeh, was first applied by Rosenfeld to groups, then by Kuroki to semigroups. In the present paper it is applied to hypersemigroups, and some properties of fuzzy hypersemigroups are discussed.

Keywords

hypersemigroup, fuzzy left duo, left ideal, bi-ideal, fuzzy left ideal, fuzzy bi-ideal, intra-regular, left regular, simple

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