L-Fuzzy集分解定理

Resolution Theorem of L-Fuzzy Sets

随着隶属函数真值域的拓广 ,原来关于 Zadch- Fuzzy集的分解定理 和 对于 L- Fuzzy集不再成立。尽管已有一些它们的关于 L- Fuzzy集的改进形式 [5] ,但因条件较强 ,失去了原来的许多优越性。本文从格论入手 ,首先引入格中元素的强上集和 L- Fuzzy集准截集两个新概念 ,并讨论了它们的部分性质。进而借助它们给出了 L -

With the extension of codomain of membership function,original resolution theorems about Zadch fuzzy sets have no effect on L fuzzy sets.Although there are many improved forms for L fuzzy sets [7] ,they are not so convenient in use as old ones because of their strong conditions.In this paper,strong upper sets in a lattice and quasi cut sets of L fuzzy sets are introduced and some properties of them are discussed.Then two new forms of resolution theorems of L fuzzy sets are established.