Qf-topological Group

It combine fuzzy topology with group theory start at an article Fuzzy Topological Groups,written by D.H.Foster in 1979. Afterwards Ma Jiliang and Yu Chuhai applied many research results of fuzzy topology to do the further research to this kind of fuzzy topological group . But this kind of fuzzy topological group is only the simple combination of group and fuzzy topological space ,the most results receieved are only brief repeat about natures of group and fuzzy topological space . Last it on 1982, in meaning of Rosenfeld's fuzzy group ,Zou Kaiqi defined a kind of fuzzy topological group ,moreover dicussed its fundamental property . But this kind of fuzzy topological group must be RF-group at first ,this can no doubt use the achievement about RF-group directly, but because the limitation of RF-group causes this kind of fuzzy topological group to have certain limitation. In 2002 ,utilizing the repeated-region system ,Wang Youde and Wang Yan defined a new kind of fuzzy topological group - QF- topological group . This kind of fuzzy topological group is a fuzzy set at first ,secondly it benefits to delineate with the method of repeated-region, it has close contacts with fuzzy topological space ,and has distinct characteristics of fuzzy algebra. Because the important function of fuzzy set and the superiority of the method of repeated-region while studying fuzzy topological space , this kind of definition...