Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Sichuan Normal University(Natural Science)》 2009-01
Add to Favorite Get Latest Update

On Some Topological Properties of Fuzzy Metric Spaces

CHEN You-li1,MO Zhi-wen1,HU Xiao-ping2,WANG Yang1,LIU Jun1(1.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan;2.College of Mathematics and Computer Science,Mianyang Normal College,Mianyang 621000,Sichuan)  
In this paper,we investigate some topological properties of fuzzy metric spaces(in the sense of A.George and P.Veeramani,Fuzzy Sets Systm1994,64:395.).The following results are proved:there is uniform continuity theorem for fuzzy metric spaces,each fuzzy metric space is separable and each separable fuzzy metric space satisfies the second countable axiom,and finally each fuzzy metric space is metrizable.
【Fund】: 国家自然科学基金(10671030);; 高等教育教学改革基金(myjy05009)资助项目
【CateGory Index】: O189.11
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 1 Hits
1 FAN Miao(College of Economic Administration,Xi'an International University,Xi'an,Shaanxi 710077,China);On the Local ε-connectedness in Weak Distance Measure Spaces[J];Journal of Neijiang Normal University;2010-02
【Citations】
Chinese Journal Full-text Database 10 Hits
1 CHEN Yan-fen (Dept.of Mathematics, Hanshan Teachers College, Chaozhou Guangdong 521041, China);Toppological Entropy of Compact Dynamical System for Continuous Mappings[J];Journal of Chongqing Teachers College(Natural Science Edition);2004-04
2 LI Yao-long~1,ZHAO Xiao-peng~2(1.College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China;2.Department of Mathematics,Weinan Teachers College,Weinan 714000,China);Relative Normality in L-Fuzzy Topological Space[J];Journal of Guangxi Normal University(Natural Science Edition);2006-03
3 Peng Yuwei (Southweat College of Nationlies);SOME ADVANCES OF POINTWISE p.q(p.) METRIC THEORY ON A LATTICE[J];Journal of Sichuan University (Natural Science Edition);1990-03
4 MO Zhiwen (Department of Mathematics);Continuity on Fuzzy Syntopogenous Structure with Preorder[J];Journal of Sichuan Normal University(Natural Science);1989-01
5 Mo Zhiwen Department of Mathematics;TOPOLOGICAL STRUCTURES ON COMPLETELY DISTRIBUTIVE LATTICES[J];Journal of Sichuan Normal University(Natural Science);1991-03
6 Mo Zhiwen (Department of Mathematics);OPERATIONS OF SYNTOPOGENOUS STRUCTURES OF COMPLETELY DISTRIBUTIVE LATTICE[J];Journal of Sichuan Normal University(Natural Science);1992-03
7 ZHANG Xian-yong~1,2, MO Zhi-wen~1,2(1. Department of Fundament, Sichuan Normal University, Chengdu 610066, Sichuan ;2. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Knowledge Universe, Knowledge Topology and Set Neighbourhood[J];Journal of Sichuan Normal University(Natural Science);2004-05
8 LIN Yin-he1,2(1.College of Mathematics and Physics,Lishui College,Lishui 323000,Zhejiang; 2.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047);Estimation of Iteration about Funtion and Functional Sequenc[J];Journal of Sichuan Normal University(Natural Science);2008-01
9 Mo Zhiwen(Department of Mathematics, Sichuan Normal University, Chengdu 610066, Sichuan);CONVEXITY OF L-fuzzy SYNTOPOGFNOUS PREORDERED SPACES(Ⅰ)[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);1995-03
10 Wang Hong(Department of Mathematics, Mianyang Teacher’s College, Mianyang 621000, Sichuan);THE REFINEMENT OF SEMITOPOLOGICALORDER ON L AND IT’S PROPERTIES[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);1998-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WANG Jun-xiang(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);Some Enough-Conditions of Chaotic Self-Maps on Interval[J];Journal of Chongqing Normal University(Natural Science Edition);2007-03
2 Su Lan (Dept.of Applied Math.) Mo Zhiwen (Sichuan Normal University);FUZZY g-MAPPINGS AND FUZZY SEMI-TOPOGENOUS ORDERS[J];Journal of University of Electronic Science and Technology of China;1989-02
3 Mo Zhiwen Liu Wangjin(Sichuan Normal University);Fuzzy Syntopogenous g-families and Fuzzy Syntopogenous Structures[J];Chinese Journal of Engineering Mathematics;1989-01
4 ZHANG Xian-yong, MO Zhi-wen (Department of Fundament, Sichuan Normal University, Chengdu 610110; College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068);The Knowledge Lattice[J];Chinese Journal of Engineering Mathematics;2005-03
5 LI Yao-long~1,ZHAO Xiao-peng~2(1.College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,China;2.Department of Mathematics,Weinan Teachers College,Weinan 714000,China);Relative Normality in L-Fuzzy Topological Space[J];Journal of Guangxi Normal University(Natural Science Edition);2006-03
6 Wu Congxin Fong Jinxuan;Fuzzy Metrization of Fuzzy Topological Linear Space[J];Fuzzy Systems and Mathematics;1988-02
7 Liu Wang-jin Mo Zhi-wen(Department of Mathematics, sichuan Normal University);Fuzzy Syntopogenous Structures and Preorder Relations[J];Fuzzy Systems and Mathematics;1990-02
8 (Liu Wangjin and Mo Zhiwen) (Department of Mathematics, Sichuan Normal University);Fuzzy Preordered Syntopogenous Structures[J];Fuzzy Systems and Mathematics;1991-01
9 Wu Congxin Wu Jianrong~* (Harbin Institute of Technology) (Suzhou Institute of Urban Construction and Environment Protection)~*;Quasi Pseudo Metrization of Fuzzy Bitopological Spaces[J];Fuzzy Systems and Mathematics;1992-01
10 SHI Fu-gui(Department of Mathematics,Beijing Institute of Technology,Beijing 100081,China);Metric Theory in L-topology[J];Fuzzy Systems and Mathematics;2007-01
【Co-references】
Chinese Journal Full-text Database 7 Hits
1 FAN Miao,FU Wen-qing,LI Sheng-gang (College of Mathematics and Information Science,Shaanxi Normal University,Xi′an 710062,China);ε-connectedness in weak distance measure spaces[J];Basic Sciences Journal of Textile Universities;2007-01
2 LI Xiao (College of Maythematics and Information Science,Shaanxi Normal University,Xi'an 710062,China);On the a-connectedness of LF-topological Spaces[J];Journal of Neijiang Normal University;2008-10
3 Peng Yuwei (Southweat College of Nationlies);SOME ADVANCES OF POINTWISE p.q(p.) METRIC THEORY ON A LATTICE[J];Journal of Sichuan University (Natural Science Edition);1990-03
4 YU Na,MENG Han,HU Xiao-nan (School of Mathematics Science,Liaocheng University,Liaocheng 252059,Shandong);The O_s-r Connectedness of Weakly L-cotopological Spaces[J];Journal of Sichuan Normal University(Natural Science);2009-02
5 HU Xiao-ping~1,MO Zhi-wen~2,CHEN You-li~2 (1.Department of Mathematics and Computer Science,Mianyang Normal College,Mianyang 621000,Sichuan; 2.College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan);On Compactness of Fuzzy Metric Space[J];Journal of Sichuan Normal University(Natural Science);2009-02
6 HE Xiao-li,FU Wen-qing and LI Sheng-gang(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,Shaanxi,China);Local connectedness of L-pretopological spaces[J];Journal of Shandong University(Natural Science);2007-08
7 GAO Xiao-yan1,2(Department of Ma the matics,YuLin College,YuLin 719000,P.R.C.);Connectedness of pre-topology spaces[J];Journal of Southwest University for Nationalities(Natural Science Edition);2008-04
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 LIN Yin-he~(1,2)(1. College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047;2. Dept.of Mathematics, Lishui College, Lishui Zhejiang 323000, China);An Inequality and Limit Based on the Calculation of Iteration[J];Journal of Chongqing Teachers College(Natural Science Edition);2005-03
2 Liu Yingming(Institute of Mathematics, Sichuan University);STRATUM STRUCTURE, MULTIPLE CHOICE PRINCIPLE AND OTHERS[J];Discovery of Nature;1987-01
3 LI Xiao-xia~{1,2}, HAN Dan-fu~1(1. Department of Mathematics, Zhejiang University, Hangzhou 310028, China; 2. Department of Statistics, Hangzhou University of Commerce, Hangzhou 310035, China);A family of iteration with third order convergence.[J];Journal of Zhejiang University(Sciences Edition);2004-03
4 Yu Dong Liu Wang-jin(Mathematics Department of Sichuan Normal University);An Ideal L-fuzzy Topology on R(L)[J];Fuzzy Systems and Mathematics;1988-02
5 Liu Wang-jin Mo Zhi-wen(Department of Mathematics, sichuan Normal University);Fuzzy Syntopogenous Structures and Preorder Relations[J];Fuzzy Systems and Mathematics;1990-02
6 (Liu Wangjin and Mo Zhiwen) (Department of Mathematics, Sichuan Normal University);Fuzzy Preordered Syntopogenous Structures[J];Fuzzy Systems and Mathematics;1991-01
7 Liang Jihua;COMPLETENESS FOR FUZZY TOPOLOGICAL SPACES[J];Journal of Sichuan University (Natural Science Edition);1985-02
8 Luo Maokang;A NOTE ON FUZZY PARACOMPAGTNESS AND PROPERTIES OF FUZZY METRIC SPACES[J];Journal of Sichuan University (Natural Science Edition);1985-04
9 Liu Yingming;TOPOLOGY ON LATTICES AND FUZZY TOPOLOGY[J];Journal of Sichuan University (Natural Science Edition);1986-03
10 LI Xiao-pei1,2(1.College of Mathematics, Sichuan University, Chengdu 610064, China;2.College of Science, Zhanjiang Ocean University, Guandong Zhanjiang 524025, China);A Class Of Iterative Equation on a Banach Space[J];Journal of Sichuan University (Natural Science Edition);2004-03
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved