Fuzzy quasi-metric spaces
By V. Gregori, Salvador Romaguera. 2004
89 citations recorded by the source corpus.
We generalize the notions of fuzzy metric by Kramosil and Michalek, and by George and Veeramani to the quasi-metric setting.We show that every quasi-metric induces a fuzzy quasi-metric and ,conversely, every fuzzy quasi-metric space generates a quasi-metrizable topology. Other basic properties are discussed.
Subfields: Astronomy and Astrophysics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/934927c492582a66f573762c66abb83fd9501b26
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In Astronomy and Astrophysics
In Geometry and Topology
- Pedro Tirado
- Almanzor Sapena
- Salvador Romaguera
- Stojan Radenovic
- Pasquale Vetro
- Hassen Aydi
- Daniela Paesano
Citations in the corpus
- The Banach fixed point theorem in fuzzy quasi-metric spaces with application to the domain of words (2007, methodology): “Moreover, if we denote by M the fuzzy set in X×X× [0,∞) given by M(x, y, t)= min{M(x,y, t),M−1(x, y, t)}, then (Mi,∗) is a fuzzy metric on X [9].”