F幂集的一类自同态的分解定理

Decomposition and Representation for a kind of Homomorphism Change on the fuzzy set

诸文献上关于F变换多侧重于隶属函数的形式和隶属度,本文给出了F幂集的复合自同态的概念,探讨了进行这种变换时F集与其像集之间的一种整体关系,即运算保持关系,并给出了此变换的一种分解和表示,推广了F集的分解定理。

Usually in refrences the study for the fuzzy change pay attention to the giving of change form and the membership function, In this paper we define the con cept of compound self-homomorphism on fuzzy set and research a relation . between the fuzzy set F(x)and its image set of the compound change, therefore we get a Decomposition and Representation of the compound self-homomorphism, it is a extension of the Decomposition theorem.