对新模糊集合论基础的一些注记  

Some Notes on Foundation of New Fuzzy Set Theory

作　　者：刘军[1] 汪洋[1] 陈友利[1] 莫智文[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2009年第1期22-25,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10671030);四川省青年科技基金(07ZQ026-114)资助项目

摘　　要：近来,一些学者指出Zadeh模糊集合论存在缺点和错误,建立了新模糊集合论.针对新模糊集合论提出了自己的见解.首先,在分析C-模糊集合论的定义时,发现该定义中存在两个不足之处.正是由于这两个不足之处,模糊集合之间的运算就会受到质疑而无法进行.最后,辨证地分析了Zadeh模糊集合论存在的缺点和错误.Recently, some researchers have pointed out that there are some disadvantages and errors in Zadeh＇ s fuzzy set theory, and a new fuzzy set theory is established. This paper proposes some comments in mathematical aspect. Based on a concrete analysis in new fuzzy set theory, we discover two deficiecies in the definition of C-fuzzy set theory, just because of them, the operations for the fuzzy sets cannot be carried on. Moreover, the disadvantages and errors in Zadeh＇s fuzzy set theory are dialectically analyzed.

关 键 词：C-模糊集合论 C*-模糊集合论 Zadeh模糊集合论 经典集合论 

分 类 号：O159[理学—数学]