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In this paper, by using the concept of belongingness (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets, we introduce (α, β)-fuzzy positive implicative ideals in BCK-algebras where α, β are any of {∈, q, ∈ V q, ∈ ˄ q} with α ≠ ∈ ˄ q. <p class="akeyword"> </p><span style="font-family: Times New Roman; font-size: small;"> </span>