摘要
利用模糊点和模糊集的邻属关系,给出了(α,β)-模糊向量子空间的定义,根据α,β的不同组合得到16种(α,β)-模糊向量子空间,并给出了它们之间的关系;讨论了(α,β)-模糊向量子空间与模糊集截集的相关定理;重点讨论了(∈,∈)-模糊向量子空间、(∈,∈∨q)-模糊向量子空间和(∈∧q,∈)-模糊向量子空间,并给出了相关定理.
The definition of （α,β）-fuzzy vector subspaces is firstly introduced by the use of the neigh- borhood relations between fuzzy points and fuzzy sets, and 16 kinds of （α,β）-fuzzy vector subspaces are obtained for the different composition of a andβ,their relations of above various fuzzy vector sub- spaces are given; Secondly, the theories on （α,β）-fuzzy vector subspaces and cut sets of fuzzy sets are discussed ; Finally, we focus on （∈,∈）- fuzzy vector subspaces, （ ∈,∈∨q）- fuzzy vector subspaces and （ ∈∧q,∈）- fuzzy vector subspaces and corresponding theorems are acquired.
出处
《辽宁师范大学学报（自然科学版）》
CAS
2013年第2期155-158,共4页
Journal of Liaoning Normal University:Natural Science Edition
基金
国家自然科学基金项目(61170255)
关键词
模糊集
向量空间
模糊向量空间
fuzzy sets
vector spaces
fuzzy vector subspaces
