Fuzzy Hyper BCK -commutative Ideals of Hyper BCK -algebras

摘要

The idea of fuzzy sets is applied to (weak, strong, reflexive) hyper BCK - commutative ideals in hyper BCK -algebras. It is shown that every fuzzy (weak, strong, reflexive) hyper BCK -commutative ideal is a fuzzy (weak, strong, reflexive) hyper BCK -ideal. Relations among (fuzzy) weak hyper BCK -commutative ideals, (fuzzy) hyper BCK -commutative ideals, (fuzzy) strong hyper BCK -commutative ideals and (fuzzy) reflexive hyper BCK -commutative ideals are given. Characterization and hyper homomorphic pre-image of fuzzy (weak, strong, reflexive) hyper BCK - commutative ideals are discussed. Lastly the properties of product of fuzzy (weak, strong, reflexive) hyper BCK -commutative ideals are discussed.