(λ,μ)-反模糊子群的研究  

A Study of (λ,μ)-anti-fuzzy Subgroups

作　　者：李玉瑛[1] 张贝贝[1] 

机构地区：[1]太原理工大学数学学院,山西太原030024

出　　处：《数学的实践与认识》2017年第6期267-273,共7页Mathematics in Practice and Theory

基　　金：山西省教育厅教改项目(J2016014)

摘　　要：基于(λ,μ)-反模糊子群概念及其基本性质,深入刻画了(λ,μ)-反模糊子群以及(λ,μ)-反模糊正规子群的结构.首先讨论了群G的(λ,μ)-反模糊子群在G的不同元素上隶属度的分布情况,其次研究了(λ,μ)-反模糊正规子群在G的不同元素上隶属度的分布情况,最后对循环群和阿贝尔群上(λ,μ)-反模糊子群及正规子群的结构进行详细讨论并给出了相应的结果.Based on the （λ,μ）-anti-fuzzy subgroup concept and its basic properties, further depict the structure of the （λ,μ）-anti fuzzy subgroup and （λ,μ）-ant-fuzzy normal subgroup. This article first discusses （λ,μ）-anti- fuzzy subgroup of G distribution of membership degree of the different elements of G , secondly studies the （λ,μ）-anti-fuzzy normal subgroup of G the distribution of membership degree on the different elements of G, finally, （λ,μ））-anti- fuzzy subgroup and normal subgroup structure of cyclic group and Abelian group were discussed in detail and gives the corresponding results.

关 键 词：反模糊子群 (λ μ)-反模糊子群 (λ μ)-反模糊正规子群 

分 类 号：O159[理学—数学]