KM伪度量空间中的模糊化收敛结构  

Fuzzifying Convergence Structures in KM Pseudo-Metric Spaces

作　　者：刁瑞[1] 

机构地区：[1]牡丹江师范学院理学院,黑龙江牡丹江157011

出　　处：《数学的实践与认识》2015年第5期290-295,共6页Mathematics in Practice and Theory

基　　金：2014年度黑龙江省哲学社会科学研究规划项目(14E009);牡丹江市社会科学课题项目(141001);牡丹江市社会科学课题项目(140903)

摘　　要：分别提供了由KM伪度量到模糊化收敛结构和由模糊伪度量链到模糊化收敛结构的转化方法,并且证明了由KM伪度量诱导的模糊化拓扑进而诱导的模糊化收敛结构和KM伪度量直接诱导的模糊化收敛结构相同.而且,还证明了由KM伪度量诱导的模糊伪度量链进而诱导的模糊化收敛结构和由KM伪度量直接诱导的模糊化收敛结构相同.In this paper, we provide the way of transforming from a KM pseudo-metric to a fuzzifying convergence structure and the way of transforming from a fuzzy pseudo-metric chain to a fuzzifying convergence structure. It is shown that a KM pseudo-metric and its induced fuzzifying topology generate the same fuzzifying convergence structure. Also, it is proved that a KM pseudo-metric and its induced fuzzy pseudo-metric chain gene＇ ~te the same fuzzifying convergence structure.

关 键 词：KM伪度量空间 模糊伪度量链 模糊化收敛结构 模糊化拓扑 

分 类 号：O177[理学—数学] O159[理学—基础数学]