Abstract
This study focuses on combining the theories of m-polar fuzzy sets over BCK-algebras and establishing a new framework of m-polar fuzzy BCK-algebras. In this paper, we define the idea of m-polar fuzzy positive implicative ideals in BCK-algebras and investigate some related properties. *en, we introduce the concepts of m-polar (epsilon,epsilon boolean OR.q)-fuzzy positive implicative ideals and m-polar ((epsilon) over bar, (epsilon) over bar root q)-fuzzy positive implicative ideals in BCK-algebras as a generalization of m-polar fuzzy positive implicative ideals. Several properties, examples, and characterization theorems of these concepts are considered.