Bipolar Fuzzy Structures of Some Types of Ideals in Hyper Bck-algebras
نویسندگان
چکیده
Using the notion of bipolar-valued fuzzy sets, the concepts of bipolar fuzzy (weak, s-weak, strong) hyper BCK-ideals are introduced, and their relations are discussed in [3]. Further properties are investigated in this article. We show that if Φ = (H ;μΦ , μ N Φ ) is a bipolar fuzzy (weak, strong) hyper BCK-ideal of a hyper BCK-algebra H, then the set I := {x ∈ H | μΦ(x) = μΦ(0), μΦ (x) = μΦ (0)}. is a (weak, strong) hyper BCK-ideal of H, but not converse by providing examples. Using a collection of ordered pairs of (weak, strong) hyper BCK-ideals of a hyper BCK-algebra H, a bipolar fuzzy (weak, strong) hyper BCK-ideal of H is established.
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