L-Flou集范畴及其层表示

Category of L-Flou Sets and Its Sheaves Representation

用模糊集的方法和原理,给出L-flou集合范畴Set(fL)的概念,并证明L-fuzzy集合范畴Set(L)与范畴Set(fL)的同构关系.根据范畴Set(L)与赋予层结构的集合范畴SetL(S H)的同构关系,得到范畴Set(fL)同构于范畴Set_L(S H).

Using the method and principle of fuzzy sets,we gave the concept of category Set(f■)of■-f lou sets,and proved that the category Set(■)of■-fuzzy sets was isomorphic to the category Set(f■).According to the isomorphism relationship between the category Set(■)and the lifting category Set■(S H)of sheaf structures on the sets category,we obtained the cat egory Set(f■)was isomorphic to the category S et■(■).