Generalized \(m\)-polar fuzzy positive implicative ideals of BCK-algebras (Q2034939)

Summary: 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-algebras and investigate some related properties. Then, we introduce the concepts of \(m\)-polar \((\in,\in\vee q)\)-fuzzy positive implicative ideals and \(m\)-polar \((\overline{\in},\overline{\in} \vee \overline{q})\)-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.