摘要
在直觉I-模糊拓扑空间中给出了重T0,T0,T1,T2分离性的定义,研究了重T0,T0,T1分离性的等价刻画,并得到了重T0,T0,T1,T2分离性在子空间以及序同态下的保持性,最后研究了T0,T1,T2分离性在直觉不分明化拓扑空间与其生成的直觉I-模糊拓扑空间下的关系.
In this paper,the concepts of q-T0 ,T0 ,T1 ,T2 separation axioms in intuitionistic I-fuzzy topolog-ical spaces have been given,and the equivalent descriptions of q-T0 ,T0 ,T1 separation axioms are studied. Next,we obtain q-T0 ,T0 ,T1 ,T2 separation axioms can keep the properties in the subspace and order ho-momorphism.Finally,we study T0 ,T1 ,T2 separation axioms between intuitionistic fuzzifying topological space and its corresponding generated intuitionistic I-fuzzy topological space.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第4期31-37,共7页
Journal of Southwest China Normal University(Natural Science Edition)
基金
江苏省"青蓝工程"资助
关键词
直觉I
模糊拓扑
分离性
保持性
Intuitionistic I fuzzy topology
description
retainability
