Metrics on vector spaces with -localisation.
Grosu, Marta, Grosu, Corina (2001)
APPS. Applied Sciences
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Displaying similar documents to “Fuzzy distances”
Metrics on vector spaces with -localisation.
A contraction theorem in fuzzy metric spaces.
Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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The fuzzy metric space based on fuzzy measure
Jialiang Xie, Qingguo Li, Shuili Chen, Huan Huang (2016)
Open Mathematics
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In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space.
Function spaces and application to fuzzy analysis
Congxin Wu (2008)
Banach Center Publications
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A Method to Construct an Extension of Fuzzy Information Granularity Based on Fuzzy Distance
Thien, Nguyen Van, Demetrovics, Janos, Thi, Vu Duc, Giang, Nguyen Long, Son, Nguyen Nhu (2016)
Serdica Journal of Computing
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In fuzzy granular computing, a fuzzy granular structure is the collection of fuzzy information granules and fuzzy information granularity is used to measure the granulation degree of a fuzzy granular structure. In general, the fuzzy information granularity characterizes discernibility ability among fuzzy information granules in a fuzzy granular structure. In recent years, researchers have proposed some concepts of fuzzy information granularity based on partial order relations. However,...
An additive decomposition of fuzzy numbers
Dug Hun Hong (2003)
Kybernetika
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Hong and Do[4] improved Mareš[7] result about additive decomposition of fuzzy quantities concerning an equivalence relation. But there still exists an open question which is the limitation to fuzzy quantities on R (the set of real numbers) with bounded supports in the presented theory. In this paper we restrict ourselves to fuzzy numbers, which are fuzzy quantities of the real line R with convex, normalized and upper semicontinuous membership function and prove this open question. ...
Urysohn’s lemma, gluing lemma and contraction mapping theorem for fuzzy metric spaces
Elango Roja, Mallasamudram Kuppusamy Uma, Ganesan Balasubramanian (2008)
Mathematica Bohemica
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In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.