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软群的模糊软同余和正规模糊软子群
引用本文:李文婷.软群的模糊软同余和正规模糊软子群[J].西北轻工业学院学报,2013(5):160-163.
作者姓名:李文婷
作者单位:西北大学数学系,陕西西安710127
基金项目:西北大学研究生自主创新资助项目(YZZ12061)
摘    要:为了进一步研究模糊软集理论,通过将软集与模糊同余结合,给出了模糊软同余的定义,并在一定程度上推广了模糊软集;给出了软群的模糊软同余的相关性质;提出了软群的正规模糊软子群的概念并研究了相关性质,进而建立了软群的模糊软同余与正规模糊软子群之间的联系.

关 键 词:软集  模糊软集  软群  模糊软同余  正规模糊软子群

Fuzzy soft congruences and normal fuzzy soft subgroups of soft groups
LI Wen-ting.Fuzzy soft congruences and normal fuzzy soft subgroups of soft groups[J].Journal of Northwest University of Light Industry,2013(5):160-163.
Authors:LI Wen-ting
Affiliation:LI Wen-ting (Department of Mathematics, Northwest University, Xi'an 710127, China)
Abstract:In order to investigate the properities of fuzzy soft sets further more, fuzzy soft congru ence, as a generalization of a fuzzy soft set, is initiated by the combination of soft sets and fuzzy sets. Several relevant properties of fuzzy soft congruences are also investigated. Finally, the concept of normal fuzzy soft subgroups of soft groups is introduced and some related properties of normal fuzzy soft subgroups are given. Furthermore, the relationship between fuzzy soft congruences and normal fuzzy soft subgroups is discussed.
Keywords:soft set  fuzzy soft set  soft group  fuzzy soft congruence  normal fuzzy soft subgroup
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