Some Characterizations of Anti-Fuzzy (Generalized) Bi-Ideals of Semigroups

Pongpun Julatha, Manoj Siripitukdet

Abstract

Our aim in this paper is to characterize anti-fuzzy subsemigroups,anti-fuzzy generalized bi-ideals and anti-fuzzy bi-ideals of a semigroup S. We define certain subsets of S, [0, 1] and Sx [0, 1]. The relationships between sets of anti-fuzzy points and the certain subsets of Sx [0, 1] are investigated. Some interesting characterizations of anti-fuzzy subsemigroups, anti-fuzzy generalizedbi-ideals and anti-fuzzy bi-ideals of semigroups are investigated by using the certain subsets of S, [0, 1] and Sx [0, 1].