Abstract
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.
Highlights
The concept of a fuzzy set, which was published by (ZADEH, 1965) was applied by many researchers to generalize some of the basic concepts of algebra
The fuzzy algebraic structures play a vital role in Mathematics with wide applications in many other branches such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, topological spaces, logic (ZADEH, 2005), set theory, real analysis, measure theory etc
In (Xi, 1991) applied fuzzy subsets in BCKalgebras and studied fuzzy BCK-algebras. He defined the concept of fuzzy ideal and fuzzy positive implicative ideal and he got some interesting results
Summary
The concept of a fuzzy set, which was published by (ZADEH, 1965) was applied by many researchers to generalize some of the basic concepts of algebra. 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, ∈ ˅ q, ∈ ˄ q} with α ≠ ∈ ˄ q.
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