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The completions of fuzzy metric spaces and fuzzy normed linear spaces
Fuzzy Sets and Systems, 1999In this paper, we consider the completions of fuzzy metric spaces and fuzzy normed linear spaces.
Byung-Soo Lee +2 more
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On metric spaces induced by fuzzy metric spaces
2016The 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 Normed Spaces and Fuzzy Metric Spaces
2018In 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 +2 more
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ANALYSIS ON FRACTALS IN FUZZY METRIC SPACES
Fractals, 2011In this paper, we investigate the fractals generated by the iterated function system of fuzzy contractions in the fuzzy metric spaces by generalizing the Hutchinson-Barnsley theory. We prove some existence and uniqueness theorems of fractals in the standard fuzzy metric spaces by using the fuzzy Banach contraction theorem.
Easwaramoorthy, D., Uthayakumar, R.
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Characterizing completable fuzzy metric spaces
Fuzzy Sets and Systems, 2004The work deals with the separation of points in intuitionistic fuzzy topological spaces (IFTS). The Hausdorfness of an IFTS is described in terms of convergence of nets. It is shown that an IFTS is \(T_2\) if and only if each convergent intuitionistic fuzzy net has a unique limit.
ValentÃn Gregori, Salvador Romaguera
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A fuzzy measure algebra as a metric space
Fuzzy Sets and Systems, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pramila Srivastava +2 more
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A note on the completions of fuzzy metric spaces and fuzzy normed spaces
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Curve arclength in fuzzy metric spaces
Fuzzy Sets and Systems, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sheng Chen 0010 +2 more
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A note on compactness in a fuzzy metric space
Fuzzy Sets and Systems, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Osmo Kaleva, Janne Kauhanen
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Fuzzy partial (pseudo-)metric spaces
Journal of Intelligent & Fuzzy Systems, 2014This 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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