%0 Journal Article
%T 模糊<i>S</i>-拟正规嵌入子群的同态性质研究<br>Research on the Homomorphism Properties of Fuzzy <i>S</i>-Quasinormally Embedded Subgroups
%A 王悦
%A 闫焱
%A 阎熠
%A 商欣茹
%J Operations Research and Fuzziology
%P 63-70
%@ 2163-1530
%D 2024
%I Hans Publishing
%R 10.12677/orf.2024.142112
%X 本文在模糊<i>S</i>-拟正规子群的基础上提出了模糊<i>S</i>-拟正规嵌入子群的概念，利用既约集合套理论对模糊<i>S</i>-拟正规嵌入子群进行了研究。首先给出了群的模糊子群是模糊<i>S</i>-拟正规嵌入的当且仅当它的水平子集是通常群论意义上的<i>S</i>-拟正规嵌入，其次讨论了模糊<i>S</i>-拟正规嵌入子群的同态性质，最后将同态性质推广到了模糊<i>S</i>-拟正规子群。<br />
In the paper, based on the fuzzy <i>S</i>-quasinormal subgroups, the concept of fuzzy<i> S</i>-quasinormally embedded subgroups is proposed and studied by using irreducible nested sets. Firstly, it is given that a fuzzy subgroup of a group is fuzzy <i>S</i>-quasinormally embedded if and only if its level subset is <i>S</i>-quasinormally embedded in the usual sense of group theory. Secondly, the homomorphic properties of fuzzy <i>S</i>-quasinormally embedded subgroups are discussed. Finally, the homomorphic properties are extended to fuzzy <i>S</i>-quasinormal subgroups.
%K 模糊<i>S</i>-拟正规嵌入子群，既约集合套，同态<br>Fuzzy<i> S</i>-Quasinormally Embedded Subgroups
%K Irreducible Nested Sets
%K Homomorphic
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=84034