闭包算子生成的直觉I-Fuzzy拓扑空间  

Intuitionistic I- Fuzzy Topological Space Generated by Closure Operator

作　　者：张春芝[1] 王瑞英[1] 姚尧[1] 

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：《阴山学刊（自然科学版）》2015年第4期16-19,共4页Yinshan Academic Journal(Natural Science Edition)

基　　金：内蒙古自然科学基金资助项目(2012MS0121)

摘　　要：利用L*-格值上的不等式方法,讨论闭包算子生成的直觉I-Fuzzy拓扑空间。首先得到了直觉I-Fuzzy拓扑空间闭包算子等概念和闭包算子诱导的拓扑,最后还得到了从拓扑的直觉I-Fuzzy闭包算子Cl出发,得到一个直觉I-Fuzzy拓扑τ,再利用τ定义的闭包算子恰好回到了Cl等结论。Objective- To study intuitionistic I -Fuzzy topological space generated by closure operator. Meth- ods - inequality on L＊ - lattice values. Conclusion - closure operator in intuitionistic I - Fuzzy topological space and topology which is induced by closure operator are obtained, and finally , we got the conclusion that starting from CI which is topological intuition I - Fuzzy closure operator , we get a intuitionistic I - Fuzzy topology ＇r and the closure operator defined by r just returns C1.

关 键 词：直觉I—Fuzzy拓扑 闭包度 直觉I—Fuzzy闭包算子 生成的直觉I—Fuzzy拓扑 

分 类 号：O189.13[理学—数学]