Characterization of neighborhood operators for covering based rough sets, using duality and adjointness
Mauricio Restrepo, Chris Cornelis, Jonatan Gómez
Available Online October 2013.
- https://doi.org/10.2991/.2013.12How to use a DOI?
- rough sets, coverings, approximations, neighborhood operator, order relation
- 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.
- 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 -