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Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations with Fuzzy Partial Metrics

Author

Listed:
  • Raivis Bēts

    (Institute of Mathematics and CS, University of Latvia, LV-1459 Riga, Latvia)

  • Alexander Šostak

    (Institute of Mathematics and CS, University of Latvia, LV-1459 Riga, Latvia
    Department of Mathematics, University of Latvia, LV-1004 Riga, Latvia)

Abstract

We generalize the concept of a fuzzy metric by introducing its approximating counterpart in order to make it more appropriate for the study of some problems related to combinatorics on words. We establish close relations between fuzzy approximating metrics in the case of special t -norms and approximating parametrized metrics, discuss some relations between fuzzy approximating metrics and fuzzy partial metrics, as well as showing some possible applications of approximating parametrized metrics in the problems of combinatorics on words.

Suggested Citation

  • Raivis Bēts & Alexander Šostak, 2023. "Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations with Fuzzy Partial Metrics," Mathematics, MDPI, vol. 11(15), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3313-:d:1204592
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    References listed on IDEAS

    as
    1. N. Hussain & S. Khaleghizadeh & P. Salimi & Afrah A. N. Abdou, 2014. "A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-16, April.
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