FUZZY SETS
FUZZY SETS
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DOI：
10.1016/s0019-9958(65)90241-x
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发表时间：
1965-01-01
影响因子：
--
通讯作者：
ZADEH, LA
中科院分区：
文献类型：
--
作者：
ZADEH, LA
模糊集是一类具有连续隶属度的对象。这样一个集合的特征在于一个隶属（特征）函数，该函数为每个对象分配一个介于零和一之间的隶属等级。包含、并、交、补、关系、凸性等概念，被扩展到这样的集合，并建立在模糊集的背景下，这些概念的各种属性。特别地，证明了凸模糊集的分离定理，而不要求模糊集是不相交的。
A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.