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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.
Gebru Gebray, B. Krishna Reddy
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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 fuzzy contractive mappings in fuzzy metric spaces
Fuzzy Sets and Systems, 2007 Fixed point theorems for fuzzy contractive mappings due to \textit{V. Gregori} and \textit{A. Sapena} [ibid. 125, No.~2, 245--252 (2002; Zbl 0995.54046)] are extended to Edelstein fuzzy contractive mappings. Convergence properties for fuzzy contractive mappings are studied in fuzzy metric spaces in the sense of \textit{A.
Dorel Mihet
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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
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The Hausdorff Algebra Fuzzy Distance and its Basic Properties [PDF]
Engineering and Technology Journal, 2021 In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between ...
Zainab Khudhair, Jehad Kider
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The Strong Laws of Large Numbers for Set-Valued Random Variables in Fuzzy Metric Space
Mathematics, 2021 In this paper, we firstly introduce the definition of the fuzzy metric of sets, and discuss the properties of fuzzy metric induced by the Hausdorff metric.
Li Guan, Juan Wei, Hui Min, Junfei Zhang
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Mathematics, 2023 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 words combinatorics. We establish close relations between fuzzy approximating metrics in case of special $t$-norms and approximating parametrized metrics, discuss some relations between
Raivis Bēts, Alexander Šostak
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On Pentagonal Controlled Fuzzy Metric Spaces with an Application to Dynamic Market Equilibrium
Journal of Function Spaces, 2022 In this manuscript, we coined pentagonal controlled fuzzy metric spaces and fuzzy controlled hexagonal metric space as generalizations of fuzzy triple controlled metric spaces and fuzzy extended hexagonal b-metric spaces.
Aftab Hussain +3 more
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Fuzzy Partial Metric Spaces and Fixed Point Theorems
Mathematics, 2022 Partial metrics constitute a generalization of classical metrics for which self-distance may not be zero. They were introduced by S.G. Matthews in 1994 in order to provide an adequate mathematical framework for the denotational semantics of programming ...
Halis Aygün +3 more
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