Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (33): 40-43.

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Soft sets and new soft subgroups

YIN Xia, LIAO Zuhua, ZHU Xiaoying, ZHANG Licheng   

  1. School of Science, Jiangnan University, Wuxi, Jiangsu 214122, China
  • Online:2012-11-21 Published:2012-11-20

软集与新型软子群

殷  霞,廖祖华,朱晓英,章里程   

  1. 江南大学 理学院,江苏 无锡 214122

Abstract: Some new operations of soft sets are defined and investigated. The concepts of the new soft subgroups and normal soft subgroups are given and some equivalent characterizations of the new soft subgroups are obtained. Furthermore, some preliminary properties of the new soft subgroups and normal soft subgroups under the different operations of soft sets are discussed.

Key words: soft sets, soft subgroups, normal soft subgroup, homomorphism

摘要: 定义并研究了软集上的一些新的代数运算,给出了二型软子群,正规二型软子群的新概念,得到了它们的一些等价刻画,进一步研究了在软集的各种不同的运算之下软子群、正规软子群的一些初等性质。

关键词: 软集, 软子群, 正规软子群, 同态