半群的I-V Fuzzy子半群  

I-V Fuzzy Subsemigroup of Semigroup

作　　者：陈露[1] 

机构地区：[1]陕西理工学院数学系,陕西汉中723000

出　　处：《西南大学学报（自然科学版）》2010年第4期93-96,共4页Journal of Southwest University(Natural Science Edition)

基　　金：陕西省教育厅科研基金资助项目(08JK253)

摘　　要：在半群上引入i-vFuzzy子半群等概念.研究了半群的i-vFuzzy子半群的若干性质.特别是给出半群的i-vFuzzy子集成为i-vFuzzy子半群的充要条件.即定理4半群X的i-vFuzzy子集μ=[μL,μV]是X的一个i-vFuzzy子半群的充要条件是μL与μV均是X的Fuzzy子半群.定理5设μ是半群X的一个i-vFuzzy子集,则μ是X的一个i-vFuzzy子半群的充要条件是对任意D1∈D[0,1],μD1={x|x∈X,μ(x)≥D1}≠Φ是X的一个子半群.Some concepts of the i-v fuzzy subsemigroup are introduced.The properties of the i-v fuzzy subsemigroup of semigroup are studied.Meanwhile,the necessary and sufficient conditions for an i-v fuzzy subset of semigroup to become an i-v fuzzy subsemigroup are given,i.e.Theorem 4 The i-v fuzzy subset μ=[μ^L,μ^V] in semigroup X is an i-v fuzzy subsemigroup if and only if μ^L and μ^V are both fuzzy subsemigroups in X.Theorem 5 Let X be a semigroup and μ an i-v fuzzy subset in X.Then μ is an i-v fuzzy subsemigroup if and only if for all D1∈D[0,1],μD1={x｜x∈X,μ（x）≥D1}≠ is a subsemigroup.

关 键 词：I-V Fuzzy子集 半群的Fuzzy子半群 半群的i-v FUZZY子半群 

分 类 号：O153.1[理学—数学] O153.5[理学—基础数学]