不分明化拓扑中的θ-分离性  

θ-Separation Axiom in Fuzzifying Topology

作　　者：马瑞华[1] 王瑞英[1] MA Rui-hua;WANG Rui-ying(College of mathematical Science,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2018年第5期369-372,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11761055);内蒙古自然科学基金资助项目(2017MS0104)

摘　　要：给出了不分明化拓扑中T_0~θ-,T_1~θ-,T_2~θ-,T_3~θ-,T_4~θ-分离公理,并给出这5个公理的等价命题及彼此间的关系.这些研究有助于丰富和发展Fuzzifying拓扑学的基本理论.In this paper,T0^θ-,T1^θ-,T2^θ-,T3^θ-,T4^θ-separation axioms are introduced in fuzzifying topology,and some of their equivalents as well as the relation with each other of these axioms are obtained.These studies enrich and develop a fundamental theory about Fuzzifying topology.

关 键 词：不分明化拓扑 θ-导集 θ-分离性 

分 类 号：O189[理学—数学]