Proceedings of the Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support

Characterization of neighborhood operators for covering based rough sets, using duality and adjointness

Authors
Mauricio Restrepo, Chris Cornelis, Jonatan Gómez
Corresponding Author
Mauricio Restrepo
Available Online October 2013.
DOI
https://doi.org/10.2991/.2013.12How to use a DOI?
Keywords
rough sets, coverings, approximations, neighborhood operator, order relation
Abstract
Covering based Rough Sets are an important generalization of Rough Set Theory. Basically, they replace the partition generated from an equivalence relation by a covering. In this context many approximation operators can be defined [16, 26, 27, 28, 34]. In this paper we want to discover relationships among approximation operators defined from neighborhoods. We use the concepts of duality, adjointness and conjugacy to characterize the approximation operators. Moreover we establish an order relation for these approximation operators.
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Proceedings
Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
Part of series
Advances in Intelligent Systems Research
Publication Date
October 2013
ISBN
978-90-78677-86-4
ISSN
1951-6851
DOI
https://doi.org/10.2991/.2013.12How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Mauricio Restrepo
AU  - Chris Cornelis
AU  - Jonatan Gómez
PY  - 2013/10
DA  - 2013/10
TI  - Characterization of neighborhood operators for covering based rough sets, using duality and adjointness
BT  - Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
PB  - Atlantis Press
SP  - 98
EP  - 104
SN  - 1951-6851
UR  - https://doi.org/10.2991/.2013.12
DO  - https://doi.org/10.2991/.2013.12
ID  - Restrepo2013/10
ER  -