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.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
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
