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

Author:

Bēts Raivis1ORCID,Šostak Alexander12ORCID

Affiliation:

1. Institute of Mathematics and CS, University of Latvia, LV-1459 Riga, Latvia

2. 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.

Funder

European Regional development fund

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference26 articles.

1. Topology on words;Calude;Theor. Comput. Sci.,2009

2. Fuzzy metrics and statistical metric spaces;Kramosil;Kybernetika,1975

3. Examples of fuzzy metrics and applications;Gregori;Fuzzy Sets Syst.,2011

4. Partial Metric Topology;Matthews;Proceedings of the 8th Summer Conference Topology and Applications,1994

5. Partial Metric Spaces;Bukatin;Am. Math. Mon.,2009

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