反模糊子群的运算  

Operations of Anti-Fuzzy Subgroups

作　　者：郭二芳 李玉瑛[1] 王绪柱[1] 

机构地区：[1]太原理工大学数学学院,山西太原030024

出　　处：《数学的实践与认识》2015年第12期279-284,共6页Mathematics in Practice and Theory

摘　　要：作为模糊代数的一个新领域,反模糊子群对模糊代数的研究至关重要.基于已有反模糊子群和反模糊正规子群的概念,对反模糊子群的相关性质进行了更为深入研究.首先给出了反模糊子群和反模糊正规子群的充要条件,其次给出了反模糊子群的余、逆、并、积、交等运算的定义,并讨论了这几种运算的性质,从而丰富了反模糊子群的研究.Anti-fuzzy subgroups are essential to the research of fuzzy algebra as a new area. Based on the notions of anti-fuzzy subgroup and anti-fuzzy normal subgroup, we carry out a further study on their properties. We first propose necessary and sufficient conditions for anti-fuzzy subgroups and anti-fuzzy normal subgroups. Then, we giv.e the definitions of the operations including complement, inverse, union, product and intersection of anti-fuzzy subgroups and discuss their properties. The research enriches the investigation of anti-fuzzy subgroups.

关 键 词：反模糊子群 反模糊正规子群 余 逆 并 积 交 

分 类 号：O159[理学—数学]