Bipolar Fuzzy Subalgebras and Bipolar Fuzzy ideals of PMS-algebras

Abstract

The notion of bipolar fuzzy subalgebras and bipolar fuzzy ideals of a PMS-algebra is introduced, and several properties are studied. Relations between a bipolar fuzzy subalgebra and a bipolar fuzzy ideal of PMS algebra are given. A condition for bipolar fuzzy subalgebra to be a bipolar fuzzy PMS-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 PMS-algebra is considered, and some related properties are discussed.