Indian Journal of Science and Technology
DOI: 10.17485/ijst/2015/v8iS3/60311
Year: 2015, Volume: 8, Issue: Supplementary 3, Pages: 1-6
Original Article
Muhammad Aslam Malik* and Muhammad Touqeer
Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore-54590, Pakistan; [email protected], [email protected]
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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