(∈,∈∨q(λ,_))-模糊Γ-子半群  

(∈,∈ ∨ q(λ,μ) )-fuzzy Γ-subsemigroups

作　　者：范莹莹[1] 廖祖华[1] 曾俊俏 陈静[1] 张余娟 范晓威 

机构地区：[1]江南大学理学院,江苏无锡214122

出　　处：《模糊系统与数学》2013年第5期69-73,共5页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61170121);江苏省教育科学"十一五"规划项目(D/2006/01/171);江苏省研究生创新项目(CXLX13-733);江南大学创新团队发展计划资助项目201109)

摘　　要：利用模糊点xt与模糊集A之间"属于(∈)"与"广义重于(q(λ,_))"的关系,本文首先引入了(∈,∈∨q(λ,_))-模糊Γ-子半群的概念,然后给出了广义模糊Γ-子半群的概念,并且研究了它们的等价刻画和在交与并方面的性质。利用直积运算的定义,本文探讨了广义模糊Γ-子半群与(∈,∈∨q(λ,_))-模糊Γ-子半群的直积运算的性质。基于半群满同态的定义,本文探讨了(∈,∈∨q(λ,_))-模糊Γ-子半群的同态像及同态原像的相关性质,得到了(∈,∈∨q(λ,_))-模糊Γ-子半群的同态像及同态原像也是(∈,∈∨q(λ,_))-模糊Γ-子半群的结论。In this paper, using ＂belong to＂ relation （E） and ＂generalized quasicioncidence with＂ relation q（λ,μ））-between a fuzzy point x, and a fuzzy set A, the concept of（∈, ∈ V q（λ,μ））--fuzzY Γ-subsemigroups was introduced. And the notion of generalized fuzzy Γ-subsemigroups was given. Then equivalent descriptions of them were given. Some related properties of them on the intersection and union were discussed. Using the definition of direct product, we studied the properties of direct product in （∈, ∈ V q（λ,μ））--fuzzy r＇-subsemigroups and generalized fuzzy r-subsemigroups. Based on the definition of epimorphism, we studied the related properties of image and preimage of （∈, ∈ V q（λ,μ））--fuzzy Γ-subsemigroups. Conclusions were that the image and preimage of （∈, ∈ V q（λ,μ））--fuzzY Γ-subsemigroups are also （∈, ∈ V q（λ,μ））--fuzzy Γ-subsemigroups.

关 键 词：(∈ ∈V q(λ μ))-模糊Γ-子半群 广义模糊Γ-子半群 直积 满同态 

分 类 号：O159[理学—数学]