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

Raivis Bēts () and Alexander Šostak
Additional contact information
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

Mathematics, 2023, vol. 11, issue 15, 1-11

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.

Keywords: fuzzy metrics; fuzzy approximating metrics; approximating parametrized metrics; fuzzy partial metrics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/15/3313/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/15/3313/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:15:p:3313-:d:1204592

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().