FUZZY METRICS AND STATISTICAL METRIC SPACES

被引:5
|
作者
KRAMOSIL, I [1 ]
MICHALEK, J [1 ]
机构
[1] CZECHOSLOVAK ACAD SCI,INST INFORMATION THEORY & AUTOM,POD VODARENSKOU VEZI 4,18076 PRAGUE,CZECHOSLOVAKIA
关键词
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The aim of this paper is to use the notion of fuzzy sets and other notions derived from it in order to define, in a natural and intuitively justifiable way, the notion of fuzzy metric. The notion is then compared with that of statistical metric space and both the concepts are proved to be equivalent in a certain sense.
引用
收藏
页码:336 / 344
页数:9
相关论文
共 50 条
  • [21] On the completion of fuzzy metric spaces
    Huang, Huan
    Wu, Congxin
    FUZZY SETS AND SYSTEMS, 2008, 159 (19) : 2596 - 2605
  • [22] Fuzzy partial metric spaces
    Gregori, Valentin
    Minana, Juan-Jose
    Miravet, David
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2019, 48 (03) : 260 - 279
  • [23] Metric spaces of fuzzy sets
    Diamond, P
    Kloeden, P
    FUZZY SETS AND SYSTEMS, 1999, 100 : 63 - 71
  • [24] The completions of fuzzy metric spaces and fuzzy normed linear spaces
    Lee, BS
    Lee, SJ
    Park, KM
    FUZZY SETS AND SYSTEMS, 1999, 106 (03) : 469 - 473
  • [25] Completions of fuzzy metric spaces and fuzzy normed linear spaces
    Lee, Byung-Soo
    Lee, Suk-Jin
    Park, Kyung-Mi
    Fuzzy Sets and Systems, 106 (03): : 469 - 473
  • [26] On completeness of fuzzy metric spaces
    Li, Changqing
    Zhang, Yanlan
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, (51): : 339 - 345
  • [27] On the Intuitionistic Fuzzy Metric Spaces
    Jahedi, S.
    Azhdari, E.
    JOURNAL OF MATHEMATICAL EXTENSION, 2007, 2 (1-2) : 81 - 92
  • [28] UNIFORMITIES IN FUZZY METRIC SPACES
    Yue, Y.
    Fang, J.
    IRANIAN JOURNAL OF FUZZY SYSTEMS, 2015, 12 (01): : 43 - 57
  • [29] On the intuitionistic fuzzy metric spaces and the intuitionistic fuzzy normed spaces
    Li, Xia
    Guo, Meifang
    Su, Yongfu
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (09): : 5441 - 5448
  • [30] Fuzzy Partial Metric Spaces
    Amer, Fariha Jumaa
    COMPUTATIONAL ANALYSIS, AMAT 2015, 2016, 155 : 153 - 161