Results 71 to 80 of about 792,933 (199)

Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces [PDF]

open access: yes, 2015
We introduce the notion of the Gromov–Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented.
Sanchis López, Manuel, Macario, Sergio
core   +1 more source

The fuzzy metric space based on fuzzy measure

open access: yesOpen 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
doaj   +1 more source

On Metrization of the Topologies Induced by Fuzzy Metrics

open access: yesJournal of Mathematics, 2020
In this paper, we focus on finding the metric functions in a fuzzy metric space. After introducing the concept of a stratified function in a fuzzy metric space, we prove that the topology generated by the family of stratified functions coincides with the
Jianrong Wu, Hao Yang
doaj   +1 more source

L-Quasi (Pseudo)-Metric in L-Fuzzy Set Theory

open access: yes, 2023
The aim of this paper is to focus on the metrization question in L-fuzzy sets. Firstly, we put forward an L-quasi (pseudo)-metric on the completely distributive lattice LX by comparing some existing lattice-valued metrics with the classical metric and ...
Bin Meng, Peng Chen, Xiaohui Ba
core   +1 more source

On Graphical Fuzzy Metric Spaces with Application to Fractional Differential Equations

open access: yesFractal and Fractional, 2022
In this article, the authors introduced the concept of graphical fuzzy metric spaces which is a generalization of fuzzy metric spaces with the help of a relation. The authors discussed some topological structure, convergence criteria, and proved a Banach
Naeem Saleem   +3 more
doaj   +1 more source

Common Coupled Fixed-Point Theorems in Generalized Fuzzy Metric Spaces [PDF]

open access: yes, 2011
We prove two unique common coupled fixed-point theorems for self maps in symmetric G-fuzzy metric spaces. Copyright © 2011 K. P. R.
I. Altun   +5 more
core   +1 more source

Fuzzy Extension of Crisp Metric by Means of Fuzzy Equivalence Relation

open access: yes, 2022
We develop an alternative approach to the fuzzy metric concept, which we obtain by fuzzy extension of a crisp metric d on a set X by means of a fuzzy equivalence relation E on the set IR+.
Alexander Šostak, Olga Grigorenko
core   +1 more source

A note on convergence in fuzzy metric spaces [PDF]

open access: yes
[eng] The sequential p-convergence in a fuzzy metric space, in the sense of George and Veeramani, was introduced by D. Mihet as a weaker concept than convergence.
Miñana, Juan-José   +2 more
core   +1 more source

On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces [PDF]

open access: yes, 2020
We define the notion of C * -algebra-valued fuzzy metric spaces and we study the topology induced by these ...
De la Sen Parte, Manuel   +9 more
core   +1 more source

Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

open access: yesJournal of Inequalities and Applications, 2021
This paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction ...
Saif Ur Rehman   +4 more
doaj   +1 more source

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