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The fuzzy metric space based on fuzzy measure
Open Mathematics, 2016 In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space.
Xie Jialiang +3 more
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Fuzzy metric topology space and manifold [PDF]
Journal of Fuzzy Extension and Applications, 2023 This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
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On generalizations of fuzzy metric spaces [PDF]
International Journal of General Systems, 2023 summary:The aim of the paper is to present three-variable generalizations of fuzzy metric spaces in sense of George and Veeramani from functional and topological points of view, respectively.
Shi, Yi, Yao, Wei
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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).
Miñana, Juan-José +3 more
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Intuitionistic Fuzzy Metric-like Spaces and Fixed-Point Results
Mathematics, 2023 The objective of this paper is to describe the concept of intuitionistic fuzzy metric-like spaces. This space is an extension of metric-like spaces and fuzzy metric spaces, and intuitionistic fuzzy metric spaces.
Şuara Onbaşıoğlu, Banu Pazar Varol
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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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On a fuzzy metric space and fuzzy convergence
Proyecciones (Antofagasta), 2021 In this paper we introduce a new type of fuzzy metric space and obtain several properties of it. Also some topological properties and boundedness are investigated.
Alias B. Khalaf +2 more
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On fuzzy uniformities induced by a fuzzy metric space [PDF]
Fuzzy Sets and Systems, 2018 [EN] Different types of fuzzy uniformities have been introduced in the literature standing out the notions due to Hutton, Hohle and Lowen. The main purpose of this paper is to study several methods to endow a fuzzy metric space (X, M, *), in the sense of
Romaguera Bonilla, Salvador +5 more
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Some Characterizations of Complete Hausdorff KM-Fuzzy Quasi-Metric Spaces [PDF]
Fuzzy Sets and Systems, 2023 Gregori and Romaguera introduced, in 2004, the notion of a KM-fuzzy quasi-metric space as a natural asymmetric generalization of the concept of fuzzy metric space in the sense of Kramosil and Michalek.
Salvador Romaguera
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The Wijsman topology of a fuzzy metric space [PDF]
Fuzzy Sets and Systems, 2016 [EN] We introduce and study the notions of lower Wijsman topology, upper Wijsman topology and Wijsman topology of a fuzzy metric space in the sense of Kramosil and Michalek. In particular, quasi-uniformizability, uniformizability, quasi-metrizability and
Javier Gutierrez Garcia +2 more
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