Some results in intuitionistic fuzzy metric spaces

被引:0
|
作者
Park, Jin Han [1 ]
Park, Yong Beom [1 ]
Saadati, Reza [2 ]
机构
[1] Pukyong Natl Univ, Div Math Sci, Pusan 608737, South Korea
[2] Amol Islamic Azad Univ, Dept Math, Amol 4617654553, Iran
关键词
intuitionistic fuzzy metric space; Cauchy sequence; completeness; uniform continuity; equicontinuity;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper we prove some results of metric spaces including Uniform continuity theorem and Ascoli-Arzela theorem for intuitionistic fuzzy metric spaces. We also prove that every intuitionistic fuzzy metric space has a countably locally finite basis and use this result to conclude that every intuitionistic fuzzy metric space is metrizable.
引用
收藏
页码:441 / 451
页数:11
相关论文
共 50 条
  • [41] Some recent results on Atanassov's intuitionistic fuzzy topological spaces
    Lupianez, F. G.
    COMPUTATIONAL INTELLIGENCE IN DECISION AND CONTROL, 2008, 1 : 229 - 234
  • [42] On some results in intuitionistic fuzzy ideal convergence double sequence spaces
    Khan, Vakeel A.
    Ahmad, Mobeen
    Fatima, Hira
    Khan, Mohd Faisal
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [43] INTUITIONISTIC FUZZY QUASI-METRIC AND PSEUDO-METRIC SPACES
    Hong, Y.
    Fang, X.
    Wang, B.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2008, 5 (03): : 81 - 88
  • [44] The Bicompletion of Intuitionistic Fuzzy Quasi-Metric Spaces
    Castro-Company, Francisco
    Tirado, Pedro
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 844 - 847
  • [45] RETRACTED: Intuitionistic Fuzzy Double Controlled Metric Spaces and Related Results (Retracted Article)
    Farheen, Misbah
    Ahmed, Khalil
    Javed, Khalil
    Parvaneh, Vahid
    Din, Fahim Ud
    Ishtiaq, Umar
    SECURITY AND COMMUNICATION NETWORKS, 2022, 2022
  • [46] ON THE BICOMPLETION OF INTUITIONISTIC FUZZY QUASI-METRIC SPACES
    Castro-Company, F.
    Tirado, P.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2016, 13 (03): : 143 - 151
  • [47] ON φ-CONTRACTIONS IN FUZZY METRIC SPACES WITH APPLICATION TO THE INTUITIONISTIC SETTING
    Ricarte, L. A.
    Romaguera, S.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2013, 10 (06): : 63 - 72
  • [48] On fixed point theorems in intuitionistic fuzzy metric spaces
    Romaguera, Salvador
    Tirado, Pedro
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (02) : 233 - 238
  • [50] NEW FIXED POINT RESULTS AND THE PROPERTY (P) ON ORDERED INTUITIONISTIC FUZZY METRIC SPACES
    Rezapour, Sh.
    Ionescu, Cristiana
    Samei, M. E.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2013, 75 (04): : 27 - 38