反模糊群性质的研究  

Study on Property of Anti-fuzzy Group

作　　者：王欣彦[1] 李慧林[1] 

机构地区：[1]沈阳化工大学数理系,辽宁沈阳110142

出　　处：《沈阳化工大学学报》2010年第2期178-180,共3页Journal of Shenyang University of Chemical Technology

摘　　要：首先根据经典集合G的一种模糊二元运算,给出利用这种模糊二元运算定义的反模糊群,为了使反模糊群也具有经典的结构,讨论这种模糊群的一些性质,并给出反模糊群的两种等价定义.因此,反模糊群也具有和群一样经典的结构,便于更深入地研究反模糊代数.In this paper,the fuzzy binary operation on normal sets was given,and a new anti-fuzzy group G was defined.In order to get the structure of anti-fuzzy group which is alike that of normal group,the characters of the anti-fuzzy group were discussed,and two defines that are similar with the first define of anti-fuzzy group were given.The perfect results were got here and are useful to further study anti-fuzzy algebra.

关 键 词：模糊二元运算 反模糊群 反模糊集 

分 类 号：O159[理学—数学]