An Anti Product of Bipolar Anti Fuzzy Sub Groups

Abstract

In this paper, we introduce the concept of an anti product of bipolar fuzzy subsets of a set and discussed some of their properties of the anti product of two bipolar  anti fuzzy subgroups of a group.We also introduce the concept of an anti image and anti pre-image of a bipolar fuzzy subgroup of a group and discuss in detail series of homomorphic and anti homomorphic properties of bipolar anti fuzzy subgroup.We also introduce the concept of bipolar  anti fuzzy normal subgroup of a group and discuss its properties under the operation anti product.