A contraction theorem in fuzzy metric spaces.
Razani, Abdolrahman (2005)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Fuzzy metrics and statistical metric spaces”
A contraction theorem in fuzzy metric spaces.
Fuzzy distances
Josef Bednář (2005)
Kybernetika
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In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to are dealt with in detail.
Metrics on vector spaces with -localisation.
Grosu, Marta, Grosu, Corina (2001)
APPS. Applied Sciences
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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.
On fuzzy -contractive mappings in fuzzy metric spaces.
Miheţ, Dorel (2007)
Fixed Point Theory and Applications [electronic only]
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Caristi's fixed point theorem and its equivalences in fuzzy metric spaces
Naser Abbasi, Hamid Mottaghi Golshan (2016)
Kybernetika
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In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems. 64 (1994) 395-399]. Further, a direct simple proof of the equivalences among these theorems is provided.
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.
A context-based approach to linguistic hedges
Martine De Cock, Etienne Kerre (2002)
International Journal of Applied Mathematics and Computer Science
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We present a framework of L-fuzzy modifiers for L being a complete lattice. They are used to model linguistic hedges that act on linguistic terms represented by L-fuzzy sets. In the modelling process the context is taken into account by means of L-fuzzy relations, endowing the L-fuzzy modifiers with a clear inherent semantics. To our knowledge, these L-fuzzy modifiers are the first ones proposed that are suitable to perform this representation task for a lattice L different from the...