摘要
本文是以远域理论为工具来研究L-双fuzzy拓扑空间的分离性理论。首先给出了这类空间的几种分离性的定义,并讨论了它们的性质。其次研究了分明双拓扑空间的分离性与由它诱导的L-双fuzzy拓扑空间的分离性之间的关系。最后讨论了L-双fuzzy拓扑空间族的乘积空间的分离性。
In this paper, the separation axioms in L-bifuzzy topological spaces arefirst introduced and some of their properties explored. Then the relations be-tween the separation properties in bitopological space (X, τ_1, τ_2,) and the sepa-ration properties in L-bifuzzy topological space (L^X, ω_L (τ_1), ω_L(τ_2)) inducedby (X, τ_1, τ_2) are discussed. Finally, the separation properties of the productspace of L-bifuzzy topological spaces are obtained.
基金
国家自然科学基金
关键词
分离公理
诱导
L双F拓扑空间
L-bifuzzy topologial spaces
Weakly pairwise separation axioms
pairwise separation axioms
