(λ,μ)-反模糊子群的研究

A Study of (λ,μ)-anti-fuzzy Subgroups

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.