计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (8): 6-9.

• 博士论坛 • 上一篇    下一篇

反模糊软子群诱导的商群

赵  虎1,李生刚2   

  1. 1.西安工程大学 理学院,西安 710048
    2.陕西师范大学 数学与信息科学学院,西安 710062
  • 出版日期:2015-04-15 发布日期:2015-04-29

Quotient group induced by anti-fuzzy soft subgroups

ZHAO Hu1, LI Shenggang2   

  1. 1.School of Science, Xi’an Polytechnic University, Xi’an 710048, China
    2.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
  • Online:2015-04-15 Published:2015-04-29

摘要: 介绍正规反模糊软子群的概念,给出正规反模糊软子群的同构像定理和同态逆像定理,对反模糊软子群诱导的商群的一些基本性质进行了研究。

关键词: 模糊软集, 反模糊软子群, 正规反模糊软子群, 商群

Abstract: The notion of normal anti-fuzzy soft subgroups is introduced, the theorems of isomomorphic image and homomorphic pre-image of normal anti-fuzzy soft subgroup are given. Some basic properties of quotient group induced by anti-fuzzy soft subgroups are studied.

Key words: fuzzy soft set, anti-fuzzy soft subgroup, normal anti-fuzzy soft subgroup, quotient group