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Fuzzy partial metric spaces [PDF]
International Journal of General Systems, 2018 [EN] In this paper we provide a concept of fuzzy partial metric space (X, P, ¿) as an extension to fuzzy setting in the sense of Kramosil and Michalek, of the concept of partial metric due to Matthews. This extension has been defined using the residuum operator ¿¿ associated to a continuous t-norm ¿ and without any extra condition on ¿.
Valentín Gregori +2 more
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Some Remarks on Fuzzy sb-Metric Spaces
Mathematics, 2020 Fuzzy strong b-metrics called here by fuzzy sb-metrics, were introduced recently as a fuzzy version of strong b-metrics. It was shown that open balls in fuzzy sb-metric spaces are open in the induced topology (as different from the case of fuzzy b-metric
Tarkan Öner, Alexander Šostak
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The Hausdorff fuzzy quasi-metric [PDF]
Fuzzy Sets and Systems, 2010 Supported by the Plan Nacional I+D+i and FEDER, under Grant MTM2006-14925-C02-01.
Jesús Rodríguez-López +2 more
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Concerning Fuzzy b-Metric Spaces
Mathematics, 2023 In an article published in 2015, Hussain et al. introduced a notion of a fuzzy b-metric space and obtained some fixed point theorems for this kind of space.
Salvador Romaguera
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Fuzzy Set Field and Fuzzy Metric
Advances in Fuzzy Systems, 2014 The notation of fuzzy set field is introduced. A fuzzy metric is redefined on fuzzy set field and on arbitrary fuzzy set in a field. The metric redefined is between fuzzy points and constitutes both fuzziness and crisp property of vector. In addition, a fuzzy magnitude of a fuzzy point in a field is defined.
Gebru Gebray, B. Krishna Reddy
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Fuzzy quasi-metric spaces [PDF]
Applied General Topology, 2004 We generalize the notions of fuzzy metric by Kramosil and Michalek, and by George and Veeramani to the quasi-metric setting.We show that every quasi-metric induces a fuzzy quasi-metric and ,conversely, every fuzzy quasi-metric space generates a quasi ...
Valentín Gregori, Salvador Romaguera
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On completable fuzzy metric spaces [PDF]
Fuzzy Sets and Systems, 2015 In this paper we construct a non-completable fuzzy metric space in the sense of George and Veeramani which allows to answer an open question related to continuity on the real parameter t. In addition, the constructed space is not strong (non-Archimedean).
Valentín Gregori +2 more
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International Journal of Computers Communications & Control, 2016 Metric spaces and their various generalizations occur frequently in computer science applications. This is the reason why, in this paper, we introduced and studied the concept of fuzzy b-metric space, generalizing, in this way, both the notion of fuzzy metric space introduced by I. Kramosil and J. Michálek and the concept of b-metric space.
Nădăban, Sorin
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George-Veeramani Fuzzy Metrics Revised [PDF]
Axioms, 2018 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 ...
Alexander Šostak
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A Duality Relationship Between Fuzzy Partial Metrics and Fuzzy Quasi-Metrics [PDF]
Mathematics, 2020 In 1994, Matthews introduced the notion of partial metric and established a duality relationship between partial metrics and quasi-metrics defined on a set X.
Valentín Gregori +2 more
doaj +6 more sources