Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras

Abstract

This study focuses on combining the theories of $m$ -polar fuzzy sets over $\text{BCK}$ -algebras and establishing a new framework of $m$ -polar fuzzy $\text{BCK}$ -algebras. In this paper, we define the idea of $m$ -polar fuzzy positive implicative ideals in $\text{BCK}$ -algebras and investigate some related properties. Then, we introduce the concepts of $m$ -polar $\left(\in ,\in \vee q\right)$ -fuzzy positive implicative ideals and $m$ -polar $\left(\overline{\in },\overline{\in }\vee \overline{q}\right)$ -fuzzy positive implicative ideals in $\text{BCK}$ -algebras as a generalization of $m$ -polar fuzzy positive implicative ideals. Several properties, examples, and characterization theorems of these concepts are considered.