L—fuzzy拓扑空间中的半开集与半同胚序同态

On the semi-open set and semi-Homeomorphism order-Homomorphism in L-Euzzy Topological space

本文首先给出L—fuzzy拓扑空间中半开集的一个性质定理 ,证明了:若(L^y,δ|Y)是(L^x,δ)的开子空间,则(L^x,δ)中半开集在Y上的限制是(L^y,δ|Y)中的半开集,反之,(L^y,δ|Y)中的半开集必可由(L^x,δ)中的半开集在Y上的限制得出。然后引进LF不定序同态、LF前半开(前半闭)序同态、LF半胚同序同态等概念,并研究了它们的特征性质,着重讨论了LF半同胚序同态的等价定理。

In this paper, a property of the semi-open set in L-fuzzy topological space is presented. It is proved that the restriction of the semi-open set in ( Lx, δ ) to Y is the semi-open set in ( LY, δ|Y ) if ( LY, δ|Y) is the open subspacc n f ( Lx, δ ) and vice versa. We introduce some concepts such as L- fuzzy irresolute order-homomorphism, L- fuzzy pre-semi - open ( prc-semi - closed ) order-homomorphism, L- fuzzy semi - homecmorphism order -homomorphism, etc. In the meanwhile, we stulidy their chara terislic properties and mainly discuss the cpuivalent theorems of L- fuzzy semi - homcomorphism order- homomorphism.