A Study on Anti Bipolar Q – Fuzzy Normal Semi Groups

Abstract

In this manuscript, we present notions of anti bipolar Q -fuzzy normal semi groups and we present characterization of anti bipolar Q -fuzzy normal semi groups. Further, we have characterized a semi group that a semi lattice of groups in terms of anti bipolar Q -fuzzy ideals, generalized anti bipolar Q -fuzzy bi -ideals and anti bipolar Q -fuzzy quasi -ideals. Keywords: semi lattice of groups, semi lattice of archimedean semi groups, bipolar Q -fuzzy sets, anti bipolar Q -fuzzy ideals, anti bipolar Q -fuzzy co -normal, anti bipolar Q -fuzzy bi -normal