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Soft Computing
Published in: Soft Computing 10/2019

16-04-2018 | Foundations

The characterizations of upper approximation operators based on coverings

Authors: Pei Wang, Qingguo Li

Published in: Soft Computing | Issue 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.
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Metadata
Title
The characterizations of upper approximation operators based on coverings
Authors
Pei Wang
Qingguo Li
Publication date
16-04-2018
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 10/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3197-7

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