作 者: ;
机构地区: 广州师范学院数学系
出 处: 《模糊系统与数学》 1998年第2期61-69,共9页
摘 要: 文[1]提出了幂群的概念,给出了幂群中各元素是等势的基数定理,文[2]提出了Fuzzy幂群的概念,但没研究其中各元素的基数问题,本文深入研究这一问题,得到了由D.Dubois等在文[3]中提出的和由李洪兴等在文[4]中提出的两种Fuzzy集基数形式下的Fuzzy幂群的基数定理,并给出了Fuzzy幂群中与基数有关的若干结果。 Paper [1] defined the concept of hypergroup and proved the cardinal number theorem that pointed out every element of a hypergroup has the same cardinal number. Paper [2] defined the concept of fuzzy group. However , the problem of cardinal number of element in a fuzzy hypergroup has not been studied. This paper gives some further description for this , we obtain a serious of cardinal number theorems of fuzzy hypergroup under the two forms of cardinal number of fuzzy set that raised by D. Dubois in Paper [3] and by Li Hongxing in Paper[4]. And we prove some results of fuzzy hypergroup about cardinal number.