借助模糊软集的概念,定义了(L,M)-模糊(E,K)-软闭包系统和闭包(L,M)-模糊(E,K)-软邻域系的概念,证明了(LMFSCS(X,E),≤)(其中(LMFSCS(X,E),盟)表示(L,M)-模糊(E,K)-软闭包系统的全体构成的偏序集)是完备格,给出(LMFSCS(X,E),≤)不一定是分配格的反例。特别是,证明了范畴(FcT(x,L,M),≤)和范畴(FT(X,L,M),≤)是范畴(FCS(X,L,M),≤)的两个反射子范畴。
With the help of the concept of fuzzy soft sets, the notions of (L,M)-fuzzy (E,K)-soft closure systems and closure (L, M)-fuzzy (E, K)-soft neighborhood systems are defined, it is proved that (LMFSCS(X,E),≤) (where (LMFSCS(X,E),≤) denotes the poser of all (L,M)-fuzzy (E,K)-soft closure systems on X) is a complete lattice, and a counter example which (LMFSCS(X,E),≤) need be a distributive lattice is given. In particular, it is proved that both the category (FCT (X,L,M)≤) and the category (FT(X,L,M)≤) are two reflection subcategory of the category (FCS(X,L,M)≤).