摘要
本文研究由一般双拓扑空间拓扑生成的L-双fuzzy拓扑空间的连通性,即弱配连通性。给出了由一般双拓扑空间拓扑生成的L-双fuzzy拓扑空间的连通性与其生成双拓扑空间的连通性之间的关系,特别是证明了这种连通性对于双fuzzy拓扑空间是好的推广,但是对于L-双fuzzy拓扑空间不是好的推广等结论。
Studies the connectivity of L-bifuzzy topological spaces topologicallygenerated by general bitopological spaces and gives the relation between theconnectivity of L-bifuzzy topological spaces topologically generated by generalbitopological spaces and connectivity of their generating(general bitopological)spaces. Especially, the conclusion is proved that the connectivity to bifuzzytopological spaces is 'good extension' but not good to L-bifuzzy.
基金
国家自然科学基金
关键词
模糊拓扑空间
连通性
双拓扑空间
bitopological spaces
L-bifuzzy topological spaces
L-bifuzzy topological spaces topologically generated
connectivity
