Fuzzy幂群的基数定理  

The Cardinal Number Theorem of Fuzzy Hypergroup

作　　者：钟育彬[1] 

机构地区：[1]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Fuzzy Systems and Mathematics

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.

关 键 词：基数 同态 模糊幂群 幂群 

分 类 号：O159[理学—数学]