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Axioms 2018, 7(3), 60; https://doi.org/10.3390/axioms7030060

George-Veeramani Fuzzy Metrics Revised

1
Department of Mathematics, University of Latvia, LV-1002 Riga, Latvia
2
Institute of Mathematics and CS, University of Latvia, LV-1586 Riga, Latvia
Received: 23 June 2018 / Revised: 14 August 2018 / Accepted: 17 August 2018 / Published: 23 August 2018
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Abstract

In this note, we present an alternative approach to the concept of a fuzzy metric, calling it a revised fuzzy metric. In contrast to the traditional approach to the theory of fuzzy metric spaces which is based on the use of a t-norm, we proceed from a t-conorm in the definition of a revised fuzzy metric. Here, we restrict our study to the case of fuzzy metrics as they are defined by George-Veeramani, however, similar revision can be done also for some other approaches to the concept of a fuzzy metric. View Full-Text
Keywords: fuzzy metric; t-norm; t-conorm fuzzy metric; t-norm; t-conorm
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. (CC BY 4.0).
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Šostak, A. George-Veeramani Fuzzy Metrics Revised. Axioms 2018, 7, 60.

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