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Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations With Fuzzy Partial Metrics
Version 1
: Received: 4 July 2023 / Approved: 10 July 2023 / Online: 11 July 2023 (10:11:29 CEST)
A peer-reviewed article of this Preprint also exists.
Bēts, R.; Šostak, A. Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations with Fuzzy Partial Metrics. Mathematics 2023, 11, 3313. Bēts, R.; Šostak, A. Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations with Fuzzy Partial Metrics. Mathematics 2023, 11, 3313.
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 words combinatorics. We establish close relations between fuzzy approximating metrics in case of special $t$-norms and approximating parametrized metrics, discuss some relations between fuzzy approximating metrics and fuzzy partial metrics as well as show some possible applications of approximating parametrized metrics in the problems of words combinatorics.
Keywords
Fuzzy metrics; fuzzy approximating metrics; approximating parametrized metrics; fuzzy partial metrics
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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