m-Polar Fuzzy d-Ideals on d-Algebras

Abstract

In recent years, the idea of m-polar fuzzy sets has formed the basis of many studies. This idea has been rapidly carried over to many algebraic structures in the last few years. We present this article as the first step in studying this structure in d-algebras. It discusses a generalization of the concepts of fuzzy d-subalgebra, fuzzy d-ideal and bi-polar fuzzy d-ideal in d-algebras. We introduce the notions of m-polar fuzzy d-subalgebras, (commutative, closed) m-polar fuzzy dideals on d-algebras. Moreover, connections between them and various characterizations are obtained.