Results 1 to 10 of about 755,113 (298)
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).
Samuel Morillas +2 more
exaly +7 more sources
The Hausdorff fuzzy quasi-metric [PDF]
Fuzzy Sets and Systems, 2010 Removing the condition of symmetry in the notion of a fuzzy (pseudo)metric, in Kramosil and Michalek's sense, one has the notion of a fuzzy quasi-(pseudo-)metric. Then for each fuzzy quasi-pseudo-metric on a set X we construct a fuzzy quasi-pseudo-metric on the collection of all nonempty subsets of X, called the Hausdorff fuzzy quasi-pseudo-metric.
Jesus Rodríguez-López, S Romaguera
exaly +6 more sources
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
exaly +4 more sources
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
doaj +3 more sources
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
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +2 more sources
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
doaj +1 more source