关于模糊点的模糊n元超环

Fuzzy n-ary Hyperring Related to Fuzzy Point

本文利用模糊点和模糊子集关系引入了(E,E∨q)-模糊n元子超环及(E,E∨q)-模糊n元子超环的概念,讨论了(E,E∨q)-模糊n元子超环及(E,E∨q)-模糊n元子超环的一些基本性质,并得到了R的一个非空子集H是一个n元子超环当且仅当χH是(E,E∨q)-模糊n元子超环等重要结论,所得结果扩展了超环的研究范围,为以后进一步研究奠定了基础。

In the paper, by the use of the relations between fuzzy points and fuzzy sets, we first gave the definition of （ ∈,∈∨q） - fuzzy n-ary sub-hyperring and（ ∈,∈∨q） -fuzzy n-ary sub-hyperlattice. Then, we discussed the fundamental properties of them. And proved if a non-empty subset H of R is an n-ary sub-hyperring of R if and only ifXH is an （ ∈,∈∨q） - fuzzy n-ary sub-hyperring of R. These results further extended the scope of the research on hyperring and laid the foundation for fur- ther study.