Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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