Results 21 to 30 of about 123,793 (337)

Estimation of fuzzy metric spaces from ordinary metric spaces

open access: yesRatio Mathematica, 2021
In this paper we estimate the new way for analyzing the fuzzy metric spaces from ordinary metric spaces using fuzzy fixed point theorem and vice versa.
P Kumar Senthil, Thiruveni Packirisamy
doaj   +1 more source

‎Intuitionistic Fuzzy Modular Spaces [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2023
‎After the introduction of the concept of fuzzy sets‎ ‎by Zadeh‎, ‎several researches were conducted on‎ ‎the generalizations of the notion of fuzzy sets‎. ‎There are many viewpoints on the notion of metric space in fuzzy topology‎.
Tayebe Lal Shateri
doaj   +1 more source

Meir–Keeler Fixed-Point Theorems in Tripled Fuzzy Metric Spaces

open access: yesMathematics, 2023
In this paper, we first propose the concept of a family of quasi-G-metric spaces corresponding to the tripled fuzzy metric spaces (or G-fuzzy metric spaces). Using their properties, we give the characterization of tripled fuzzy metrics.
Hui Yang
doaj   +1 more source

Fuzzy overlapping community quality metrics [PDF]

open access: yesSocial Network Analysis and Mining, 2015
Modularity is widely used to effectively measure the strength of the disjoint community structure found by community detection algorithms. Several overlapping extensions of modularity were proposed to measure the quality of overlapping community structure.
Chen, Mingming, Szymanski, Boleslaw K.
openaire   +2 more sources

Concerning Fuzzy b-Metric Spaces

open access: yesMathematics, 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 Indistinguishability Operators, Fuzzy Metrics and Modular Metrics [PDF]

open access: yesAxioms, 2017
The notion of indistinguishability operator was introduced by Trillas, E. in 1982, with the aim of fuzzifying the crisp notion of equivalence relation. Such operators allow for measuring the similarity between objects when there is a limitation on the accuracy of the performed measurement or a certain degree of similarity can be only determined between
Juan-José Miñana, Oscar Valero
openaire   +5 more sources

Cauchy Sequences in Fuzzy Metric Spaces and Fixed Point Theorems [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2023
In this paper, contractive mappings of \CM{} type in fuzzy metric spaces are studied. A class $\Psi_1$ of gauge functions $\psi:(0,1]\to(0,1]$ such that, for any $r\in(0,1)$, there exists $\rho\in(r,1)$ such that $1-r> \tau >1-\rho$ implies $\psi(\tau ...
Mortaza Abtahi
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Relation between b-metric and fuzzy metric spaces [PDF]

open access: yesMathematica Moravica, 2018
Summary: In this work we have considered several common fixed point results in \(b\)-metric spaces for weak compatible mappings. By applications of these results we establish some fixed point theorems in \(b\)-fuzzy metric spaces.
Hassanzadeh Zeinab, Sedghi Shaban
openaire   +2 more sources

Some Remarks on Fuzzy sb-Metric Spaces

open access: yesMathematics, 2020
Fuzzy strong b-metrics called here by fuzzy sb-metrics, were introduced recently as a fuzzy version of strong b-metrics. It was shown that open balls in fuzzy sb-metric spaces are open in the induced topology (as different from the case of fuzzy b-metric
Tarkan Öner, Alexander Šostak
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Some Properties of Lebesgue Fuzzy Metric Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2021
In this paper, we establish a sequential characterisation of Lebesgue fuzzy metric and explore the relationship between Lebesgue, weak $G$-complete and compact fuzzy metric spaces.
Sugata Adhya, Atasi Deb Ray
doaj   +1 more source

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