Abstract

The fuzzification of (weak, strong, reflexive) hyper BCK-positive implicative ideals in hyper BCK-algebras is considered. It is shown that every fuzzy (weak, strong, reflexive) hyper BCK-positive implicative ideal is a fuzzy (weak, strong, reflexive) hyper BCK-ideal. Relations among weak hyper BCK-positive implicative ideals, hyper BCK-positive implicative ideals, strong hyper BCK-positive implicative ideals and reflexive hyper BCK-positive implicative ideals are given. It is proved that the product of fuzzy (weak, strong, reflexive) hyper BCK-positive implicative ideals is also a fuzzy (weak, strong, reflexive) hyper BCK-positive implicative ideal. Lastly the relations among fuzzy (weak, strong, reflexive) hyper BCK-(implicative, positive implicative, commutative) ideals are being discussed. Keywords: Hyper Bck-Algebra, (Fuzzy) Hyper Bck-Positive Implicative Ideal, (Fuzzy) Reflexive Hyper Bck-Positive Implicative Ideal, (Fuzzy) Strong Hyper Bck-Positive Implicative Ideal, (Fuzzy) Weak Hyper Bck-Positive Implicative Ideal

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