Bipolar Fuzzy Subalgebras and Bipolar Fuzzy ideals of PS-algebras

Abstract

The notion of bipolar fuzzy sub algebras and bipolar fuzzy ideals of a PS-algebra is introduced, and several properties are studied. Relations between a bipolar fuzzy sub algebra and a bipolar fuzzy ideal of PS algebra are given. A condition for bipolar fuzzy sub algebra to be a bipolar fuzzy PS-ideal is provided, and the characterizations of a bipolar fuzzy ideal are discussed. The concept of equivalence relations on the family of all bipolar fuzzy ideals of a PS-algebra is considered, and some related properties are discussed.