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Some questions in fuzzy metric spaces [PDF]

Fuzzy Sets and Systems, 2012
The George and Veeramani's fuzzy metric defined by $M^*(x,y,t)=\frac{min\{x,y\}+t}{max\{x,y\}+t}$ on $[0,\infty[$ (the set of non-negative real numbers) has shown some advantages in front of classical metrics in the process of filtering images.
Valentin Gregori, Juan-Jose Miñana, Samuel Morillas   +2 more
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On fuzzy metric spaces

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kankana Chakrabarty, Ranjit Biswas, Sudarsan Nanda   +2 more
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Clustering by a fuzzy metric

Fuzzy Sets and Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hideki Kamimura, Masami Kurano
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A duality relationship between fuzzy metrics and metrics

International Journal of General Systems, 2018
ABSTRACTBased on the duality relationship between indistinguishability operators and (pseudo-)metrics, we address the problem of establishing whether there is a relationship between the last ones and fuzzy (pseudo-)metrics. We give a positive answer to the posed question. Concretely, we yield a method for generating fuzzy (pseudo-)metrics from (pseudo)-
Juan-José Miñana, Óscar Valero
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Fuzzy polynucleotide spaces and metrics

Bulletin of Mathematical Biology, 2006
The study of genetic sequences is of great importance in biology and medicine. Mathematics is playing an important role in the study of genetic sequences and, generally, in bioinformatics. In this paper, we extend the work concerning the Fuzzy Polynucleotide Space (FPS) introduced in Torres, A., Nieto, J.J., 2003.
Nieto, Juan J., Torres, A., Georgiou, D. N., Karakasidis, T. E.   +3 more
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On fuzzy pseudo-metric spaces

Fuzzy Sets and Systems, 2010
Results of the paper include the following: Result 1. Let \(d_1\) and \(d_2\) be fuzzy pseudo-metrics for \(X\) and \(Y\), respectively. If \(F:(X,d_1)\to (Y,d_2)\) is continuous, then \(F:(X,\text{Id}_1)\to (Y,\text{Id}_2)\) is continuous. Result 2. Let \(\phi\) be a pseudo-metric chain on \(X\). Let \(d_\phi\) be a fuzzy pseudo-matrix for \(X\). Then
Yueli Yue, Fu-Gui Shi
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On Fuzzy Metric Space

Southeast Asian Bulletin of Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy clustering of software metrics

The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03., 2004
We investigate the use of fuzzy clustering for the analysis of software metrics databases. Software metrics are collected at various points during software development, in order to monitor and control the quality of a software product. We use fuzzy clustering to examine three collections of software metrics.
Scott Dick, Abraham Kandel
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On the completion of fuzzy metric spaces

Fuzzy Sets and Systems, 2008
The main result is the following: Suppose that \((x,d,L,R)\) is a fuzzy metric space. Suppose that \(\{\lambda_0(x_n,y_n) \}^\infty_{n=1}\) and \(\{\rho_0(x_n,y_n)\}^\infty_{n=1}\) are left equicontinuous, whenever \(\{x_n\}\) and \(\{y_n\}\) are Cauchy sequences. Then \((x,d,L,R)\) has a completion which is uniquely determined up to isometry.
Huan Huang 0005, Congxin Wu
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Metric Topology of Fuzzy Numbers and Fuzzy Analysis

2000
This chapter gives an overview of distances between fuzzy numbers and the topology that these metrics induce. The metric structure allows the development of fuzzy analysis and various applications to interpolation, approximation and differential equations.
Diamond, P. M., Kloeden, P.
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