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Some questions in fuzzy metric spaces [PDF]
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.
Samuel Morillas +2 more
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Fuzzy Sets and Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hideki Kamimura, Masami Kurano
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Hideki Kamimura, Masami Kurano
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Fuzzy Sets and Systems, 1998
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Kankana Chakrabarty +2 more
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Kankana Chakrabarty +2 more
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A duality relationship between fuzzy metrics and metrics
International Journal of General Systems, 2018ABSTRACTBased 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, 2006The 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. +3 more
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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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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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Southeast Asian Bulletin of Mathematics, 2003
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Metric Topology of Fuzzy Numbers and Fuzzy Analysis
2000This 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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Metric spaces of fuzzy variables
Computers & Industrial Engineering, 2009Distance between fuzzy variables has played an important role in fuzzy theory and has been defined in many ways, for example, Hausdorff-like distance, Hamming distance and the distance based on expected value operator of fuzzy variable. This paper proposes a new kind of distances between fuzzy variables, fuzzy random variables and random fuzzy ...
Wansheng Tang +2 more
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Fuzzy clustering of software metrics
The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03., 2004We 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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