| 关于模糊点的模糊n元超环 |
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| 引用本文： | 朱熙,樊旭辉,李磊.关于模糊点的模糊n元超环[J].云南农业大学学报,2012,27(1):134-137. |
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| 作者姓名： | 朱熙 樊旭辉 李磊 |
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| 作者单位： | 武警工程大学 基础部，陕西 西安 710086 |
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| 摘 要： | 本文利用模糊点和模糊子集关系引入了∈,∈∨q－模糊n元子超环及∈,∈∨q－模糊n元子超环的概念，讨论了∈,∈∨q－模糊n元子超环及∈, ∈∨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χ H是∈,∈∨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。
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| 关 键 词： | n元超运算 模糊点 n元超环 q模糊n元子超环 |
Fuzzy n ary Hyperring Related to Fuzzy Point |
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| ZHU Xi,FAN Xu-hui,LI Lei.Fuzzy n ary Hyperring Related to Fuzzy Point[J].Journal of Yunnan Agricultural University,2012,27(1):134-137. |
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| Authors: | ZHU Xi FAN Xu-hui LI Lei |
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| Institution: | Department of Basic Courses,Armed Police Engineering University,Xi′an 710086，China |
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| Abstract: | 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 nary sub hyperlattice. Then, we discussed the fundamental properties of them. And proved if a non empty subset H of R is an nary sub hyperring of Rif and only if χHis an (∈,∈∨q)－fuzzy nary sub hyperring of R. These results further extended the scope of the research on hyperring and laid the foundation for further study |
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| Keywords: | nary hyperoperation fuzzy point nary hyperring fuzzy nary sub hyperring |
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