模糊集单调型分解定理

Monotone Decomposition theorem of Fuzzy Sets

在给出了基本模糊集和简单模糊集的两个新概念后，建立了模糊集单调型分解定理，它指出任何模糊集都可以表示成可数个单调上升的简单模糊集的和，或等价地，可以表示成可数个单调上升的简单模糊集的极限．

Based two new concepts of basic fuzzy sets and simple fuzzysets,a monotonedecomposition theorem is given in this paper.It shows that any fuzzy set can be descrbed asthe sum of some countable momotone montone simple fuzzy sets.