( ∈ , ∈ ∨ q ˘ )-Bipolar Fuzzy b -Ideals of BCK/BCI-Algebras

Abstract

In this paper, the idea of $\left(\in ,\in \vee \breve{q}\right)$ -bipolar fuzzy $b$ -ideals and an $\left(\in ,\in \vee \breve{q}\right)$ -bipolar fuzzy ideals of $\text{BCK}/\text{BCI}$ -algebras is delivered, and their related properties are investigated with the aid of some examples. We also provide the connection between $\left(\in ,\in \vee \breve{q}\right)$ -bipolar fuzzy ideals and bipolar fuzzy ideals and $\left(\in ,\in \vee \breve{q}\right)$ -bipolar fuzzy $b$ -ideals and bipolar fuzzy $b$ -ideals by way of counterexamples.