Abstract
In this paper, the notion of interval-valued m-polar fuzzy positive implicative ideals in BCK-algebras is presented. 'en, 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 (epsilon,epsilon Vq(kappa)(similar to))-fuzzy positive implicative ideals and interval-valued m-polar (epsilon,epsilon Vq(kappa)(similar to))-fuzzy ideals are defined and some equivalent conditions are provided. Furthermore, we show that intervalvalued m-polar (epsilon,epsilon Vq(kappa)(similar to))-fuzzy positive implicative ideals are interval-valued m-polar (epsilon,epsilon Vq(kappa)(similar to))-fuzzy ideals, but the converse need not be true in general and an example is given in this aim.