不分明化近性空间  

Fuzzifying Proximity Spaces(Ⅰ)

作　　者：蒋志勇[1] 赖国治[2] 

机构地区：[1]华东交通大学基础课部,江西南昌330013 [2]南方冶金学院成人教育部,江西赣州341000

出　　处：《华东交通大学学报》1999年第3期68-73,共6页Journal of East China Jiaotong University

摘　　要：在不分明化拓扑的框架下，给出了不分明化近性空间的定义⒀在此基础上给出了一个不分明化近性空间的等价性刻划（用映射族）；然后又定义了不分明化近性滤子与不分明化近性邻域系，并讨论了它们的若干性质，证明了不分明化近性邻域系是不分明化近性滤子，同时。Proximity is an important concept close to toplogy and a convenient tool for an inestigation of topology. In this paper, We introduce the concepts of fuzzifying proximity spaces and neighorhood Proximity, discuss some of their properties and draw a conclusion that fuzzifying proximity neighborhood satisfying the conditions may induce a fuzzifying proximity spaces. The most important (weil) theorem will be discussed in the Fuzzifying proximity Spaces(ⅠⅠ). Abstract: Proximity is an important concept close to toplogy and a convenient tool for an inestigation of topology. In this paper, We introduce the concepts of fuzzifying proximity spaces and neighorhood Proximity, discuss some of their properties and draw a conclusion that fuzzifying proximity neighborhood satisfying the conditions may induce a fuzzifying proximity spaces. The most important (weil) theorem will be discussed in the Fuzzifying proximity Spaces(ⅠⅠ). Proximity is an important concept close to toplogy and a convenient tool for an inestigation of topology. In this paper, We introduce the concepts of fuzzifying proximity spaces and neighorhood Proximity, discuss some of their properties and draw a conclusion that fuzzifying proximity neighborhood satisfying the conditions may induce a fuzzifying proximity spaces. The most important (weil) theorem will be discussed in the Fuzzifying proximity Spaces(ⅠⅠ).

关 键 词：不分明化 近性空间 近性邻域系 近性滤子 

分 类 号：O159[理学—数学]