Results 261 to 270 of about 10,380 (295)

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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Fuzzy measures on metric spaces

Fuzzy Sets and Systems, 1996
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Qingshan Jiang, Hisakichi Suzuki
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Metric spaces of fuzzy variables

Computers & Industrial Engineering, 2009
Distance 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, Xiaozhong Li, Ruiqing Zhao   +2 more
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On completion of fuzzy metric spaces

Fuzzy Sets and Systems, 2002
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Valentín Gregori, Salvador Romaguera
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Fuzzy metric spaces

Journal of Applied Mathematics and Computing, 2004
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Xia, Zun-Quan, Guo, Fang-Fang
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The completions of fuzzy metric spaces and fuzzy normed linear spaces

Fuzzy Sets and Systems, 1999
In this paper, we consider the completions of fuzzy metric spaces and fuzzy normed linear spaces.
Byung-Soo Lee, Suk-Jin Lee, Kyung-Mi Park   +2 more
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On metric spaces induced by fuzzy metric spaces

2016
The authors introduce a family of extended pseudo-metrics for a class of fuzzy metric spaces. It enables to construct a metric on fuzzy metric spaces and the induced metric space shares many properties with the given fuzzy metric space. For example the same topology is generated and the spaces have the same completeness. The authors present some simple
Qiu, D., Dong, R., Li, H.
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Fuzzy partial (pseudo-)metric spaces

Journal of Intelligent & Fuzzy Systems, 2014
This paper attempts to generalize partial (pseudo-)metric and fuzzy (pseudo-)metric to a more general framework (in this paper, we call it fuzzy (pseudo-)partial metric). Firstly, the concept of fuzzy partial (pseudo-)metric is given. Then the relationships between partial (pseudo-)metric, fuzzy (pseudo-)metric and fuzzy partial (pseudo-)metric are ...
Yueli Yue, Meiqi Gu
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Fuzzy Normed Spaces and Fuzzy Metric Spaces

2018
In this chapter, we define fuzzy normed spaces and show that every fuzzy normed space induces a fuzzy metric space. Then we consider the topology induced by fuzzy normed (metric) spaces and show some important topological properties of them. Next, we study fuzzy inner product spaces and some properties of these spaces.
Yeol Je Cho, Themistocles M. Rassias, Reza Saadati   +2 more
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A note on the completions of fuzzy metric spaces and fuzzy normed spaces

Fuzzy Sets and Systems, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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