Fuzzy soft congruences over groups

Abstract

Abstract: In order to investigate the prosperities of fuzzy soft sets further more, fuzzy soft congruence, 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. The relationship between fuzzy soft congruences and normalistic fuzzy soft groups is discussed. In particular, the soft fuzzy homomorphism theorem is established.

Key words: soft set, fuzzy soft set, fuzzy soft congruence, normalistic fuzzy soft group, soft fuzzy homormorphism

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。研究了群上的模糊软同余的相关性质。建立了群上的模糊软同余与正规模糊软群之间的联系，给出了软模糊同态定理。

关键词: 软集, 模糊软集, 模糊软同余, 正规模糊软群, 软模糊同态

LI Wenting, XIN Xiaolong, YANG Yongwei. Fuzzy soft congruences over groups[J]. Computer Engineering and Applications, 2013, 49(22): 33-35.

李文婷，辛小龙，杨永伟. 群上的模糊软同余[J]. 计算机工程与应用, 2013, 49(22): 33-35.

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Fuzzy soft congruences over groups

群上的模糊软同余

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