Fuzzy soft positive implicative hyper BCK-ideals of several types
[摘要] Fuzzy soft positive implicative hyper $BCK$-ideal of types $(\ll, \subseteq, \subseteq)$, $(\ll, \ll, \subseteq) $ and $(\subseteq, \ll, \subseteq)$ 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 $(\ll, \subseteq, \subseteq)$ and $(\ll, \ll, \subseteq) $ are discussed. We prove that the level set of fuzzy soft positive implicative hyper $BCK$-ideal of types $(\ll, \subseteq, \subseteq)$, $(\ll, \ll, \subseteq) $ and $(\subseteq, \ll, \subseteq)$ are positive implicative hyper $BCK$-ideal of types $(\ll, \subseteq, \subseteq)$, $(\ll, \ll, \subseteq) $ and $(\subseteq, \ll, \subseteq)$, respectively. Conditions for a fuzzy soft set to be a fuzzy soft positive implicative hyper $BCK$-ideal of types $(\ll, \subseteq, \subseteq)$, $(\ll, \ll, \subseteq) $ and $(\subseteq, \ll, \subseteq)$, respectively, are founded, and conditions for a fuzzy soft set to be a fuzzy soft weak hyper $BCK$-ideal are considered.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] hyper BCK-algebra;fuzzy soft (weak, strong) hyper BCK-ideal;fuzzy soft positive implicative hyper BCK-ideal of types (<<,⊆,⊆), (<<,<<,⊆) and (⊆,<<,⊆) [时效性]
