Interval-Valued m-Polar Fuzzy Positive Implicative Ideals in BCK-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 ∈,∈∨qκ˜-fuzzy positive implicative ideals and interval-valued m-polar ∈,∈ ∨qκ˜-fuzzy ideals are defined and some equivalent conditions are provided. Furthermore, we show that interval-valued m-polar ∈,∈ ∨qκ˜-fuzzy positive implicative ideals are interval-valued m-polar ∈,∈ ∨qκ˜-fuzzy ideals, but the converse need not be true in general and an example is given in this aim.