A STUDY ON SPHERICAL FUZZY IDEALS OF SEMIGROUP

A STUDY ON SPHERICAL FUZZY IDEALS OF SEMIGROUP

V. Chinnadurai, A. Bobin, A. Arulselvam

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Abstract

In this paper, we introduce the notion of spherical fuzzy ideals of semigroup and establish the properties of it with suitable examples. Also, we introduce the concept of spherical fuzzy sub-semigroup, spherical fuzzy left(resp.right) ideal, spherical fuzzy bi-ideal, spherical fuzzy interior ideal, and homomorphism of a spherical fuzzy ideal in semigroups with suitable illustration. We show that every spherical fuzzy left(right) ideal is a spherical fuzzy bi-ideal.

Keywords

spherical fuzzy set, fuzzy ideals, semigroup.