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Soft Computing
Erschienen in: Soft Computing 10/2019

16.04.2018 | Foundations

The characterizations of upper approximation operators based on coverings

verfasst von: Pei Wang, Qingguo Li

Erschienen in: Soft Computing | Ausgabe 10/2019

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Abstract

In this paper, We propose a condition of symmetry for the covering \(\mathscr {C}\) in a covering-based approximation space \((U,\mathscr {C})\). By using this condition, we obtain general, topological and intuitive characterizations of the covering \({\mathscr {C}}\) for two types of covering-based upper approximation operators being closure operators. We investigate axiomatic systems for \(\overline{apr}_{S}\) and discuss the relationships among upper approximation operators. We also give a description of \((U,{\mathscr {C}})\) in terms of information exchange systems when these operators are closure ones. We also solve an open problem raised by Ge et al.
Vorheriger Artikel -filters and prime -filter spaces in residuated lattices
Nächster Artikel Transformations between the center of gravity and the possibilistic mean for triangular and trapezoidal fuzzy numbers

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Metadaten
Titel
The characterizations of upper approximation operators based on coverings
verfasst von
Pei Wang
Qingguo Li
Publikationsdatum
16.04.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 10/2019
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3197-7

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