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- Title
Fuzzy Approximating Metrics, Approximating Parametrized Metrics and Their Relations with Fuzzy Partial Metrics.
- Authors
Bēts, Raivis; Šostak, Alexander
- 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.
- Subjects
COMBINATORICS; TRIANGULAR norms; VOCABULARY; WORD problems (Mathematics)
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 15, p3313
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11153313