FUZZY SOFT POSITIVE IMPLICATIVE HYPER BCK-IDEALS OF SEVERAL TYPES

초록

Fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of) are introduced, and their relations are investigated. Relations between fuzzy soft strong hyper BCK-ideal and fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of) and (<<, <<, subset of) are discussed. We prove that the level set of fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of) are positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of), respectively. Conditions for a fuzzy soft set to be a fuzzy soft positive implicative hyper BCK-ideal of types (<<, subset of, subset of), (<<, <<, subset of) and (subset of, <<, subset of), respectively, are founded, and conditions for a fuzzy soft set to be a fuzzy soft weak hyper BCK-ideal are considered.

키워드