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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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M-FUZZY METRIC SPACES AND D-METRIC SPACES
Advances in Fuzzy Sets and Systems, 2017Summary: We study certain variants of \(M\)-fuzzy metric spaces and also of \(D\)-metric spaces.
Fora, Ali Ahmad Ali +2 more
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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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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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On the completion of fuzzy metric spaces
Fuzzy Sets and Systems, 2008The 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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Fuzzy Sets and Systems, 1984
Fuzzy p.q. metric spaces, supplied with continuity condition, are studied. A one-to-one correspondence between fuzzy p.q. (p) metric and some families of sets is established. The product space of a countable family of fuzzy p.q. (p) metric spaces is p.q. (p) metrizable.
Kaleva, Osmo, Seikkala, Seppo
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Fuzzy p.q. metric spaces, supplied with continuity condition, are studied. A one-to-one correspondence between fuzzy p.q. (p) metric and some families of sets is established. The product space of a countable family of fuzzy p.q. (p) metric spaces is p.q. (p) metrizable.
Kaleva, Osmo, Seikkala, Seppo
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Fuzzy measures on metric spaces
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingshan Jiang, Hisakichi Suzuki
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On completion of fuzzy metric spaces
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ValentÃn Gregori, Salvador Romaguera
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Journal of Applied Mathematics and Computing, 2004
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Xia, Zun-Quan, Guo, Fang-Fang
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Xia, Zun-Quan, Guo, Fang-Fang
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