摘要
提出一种基于“模糊点”的模糊集合的分解定理 ,在此分解定理的基础上给出模糊扩张原理的一种新的表现形式。新的扩张原理与以往人们所提出的扩张原理是等价的 ,而表现形式更为直观、简便。同时 ,利用该扩张原理得到模糊复合函数以及多元模糊关系合成运算的合理解释。
In this paper,we puts forth a kind of decomposition theorem of fuzzy set which is based on the ″Fuzzy Point″, A kind of new expressions of fuzzy extention principle is introduced on the basis of the decomposition theorem. The new extention principle is equal to the extention principle which has been ever introduced, but its manifestation is more audio-visual and simple, meanwhile, we can get the reasonable explaination of fuzzy compound function and the synthsis operation on polybasic fuzzy relation through extention principle.
出处
《模糊系统与数学》
CSCD
2003年第2期43-47,共5页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目 (5 0 174 0 2 7)