R(L)型诱导空间及连通性

Induced R(L)-Fuzzy Topological Spaces and Connectedness

用R(L) -值下半连续函数引入了R(L)型诱导空间的概念 ,讨论了它的一些基本性质 证明了R(L)型诱导空间保持笛卡尔积 ;(LX,δ)是连通空间当且仅当其R(L)型诱导空间是连通空间 ,给出了LF拓扑空间集与R(L)

In this paper we have introduced the notion of induced R(L)-fuzzy topological spaces by using the R(L)-valued lower semicontinuous mapping and investiguted some of their basic properties.We have proved that Induced R(L)-topological spaces preserves the Cartesian product,and the(L X,δ)is a connected space if and only if (R(L) X,ω(δ))is a connected space.