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A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems
Journal of Function Spaces, 2022 The article generalizes the notion of orthogonal fuzzy metric space into a broader term, named as orthogonal picture fuzzy metric space. The obtained results improve and extend the idea of the orthogonal fuzzy metric space and its related results ...
Khalil Javed, Awais Asif, Ekrem Savas
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Fuzzy n−Controlled Metric Space
International Journal of Analysis and Applications, 2023 This manuscript consists of the idea of n−controlled metric space in fuzzy set theory to generalize a number of fuzzy metric spaces in the literature, for example, pentagonal, hexagonal, triple, and double controlled metric spaces and many other spaces ...
Salman Furqan +2 more
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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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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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Some Topological Characteristics of q-Rung Orthopair Fuzzy Metric Space
Advances in Fuzzy SystemsThis paper introduced a novel concept of q-rung orthopair fuzzy (q-ROF) metric spaces, in connection with the idea of q-ROF sets, which generalizes well-known concepts of fuzzy metric spaces and intuitionistic fuzzy metric spaces.
Lariab Shahid +4 more
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Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces [PDF]
Journal of Applied Mathematics, 2013 This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwise R-weak commutativity and reciprocal continuity of mappings satisfying ...
Saurabh Manro +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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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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Mathematics, 2022 In this paper, we first introduce a new family of functions like an implicit function called Γ-functions. Furthermore, we introduce a new concept of α-ΓF-fuzzy contractive mappings, which is weaker than the class of fuzzy F-contractive mappings.
U. Patel, S. Radenović
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Extended rectangular fuzzy b-metric space with application
AIMS Mathematics, 2022 In this paper, we introduce an extended rectangular fuzzy b-metric space which generalizes rectangular fuzzy b-metric space and rectangular fuzzy metric space. We show that an extended rectangular fuzzy b-metric space is not Hausdorff.
Naeem Saleem +3 more
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