Interval-Valued m -Polar Fuzzy Positive Implicative Ideals in B C K -Algebras

In this paper, the notion of interval-valued m -polar fuzzy positive implicative ideals in BCK-algebras is presented. Then, the relationships between interval-valued m -polar fuzzy positive implicative ideals and interval-valued m -polar fuzzy ideals are investigated. After that, the concepts of interval-valued m -polar ∈ , ∈ ∨ q κ ˜ -fuzzy positive implicative ideals and interval-valued m -polar ∈ , ∈ ∨ q κ ˜ -fuzzy ideals are defined and some equivalent conditions are provided. Furthermore, we show that interval-valued m -polar ∈ , ∈ ∨ q κ ˜ -fuzzy positive implicative ideals are interval-valued m -polar ∈ , ∈ ∨ q κ ˜ -fuzzy ideals, but the converse need not be true in general and an example is given in this aim.