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.
出处
《数学的实践与认识》
北大核心
2015年第12期279-284,共6页
Mathematics in Practice and Theory
关键词
反模糊子群
反模糊正规子群
余
逆
并
积
交
anti-fuzzy subgroups
anti-fuzzy normal subgroups
complement
inverseproduct
intersection
