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Issue title: Rough Sets, Rule-Based Approaches, and Knowledge Representation
Guest editors: Davide Ciucci, Dominik Ślęzak and Marcin Wolski
Article type: Research Article
Authors: Chiaselotti, Giampieroa | Ciucci, Davideb; * | Gentile, Tommasoc | Infusino, Federicoc
Affiliations: [a] Department of Mathematics and Informatics, University of Calabria, Cubo 30B, 87036 Arcavacata di Rende (CS), Italy. giampiero.chiaselotti@unical.it | [b] Department of Informatics, Systems and Communication, Università di Milano - Bicocca, Viale Sarca 336/14, 20126 Milano, Italy. ciucci@disco.unimib.it | [c] Department of Mathematics and Informatics, University of Calabria, Cubo 30B, 87036 Arcavacata di Rende (CS), Italy. gentile@mat.unical.it; f.infusino@mat.unical.it
Correspondence: [*] Address for correspondence: Department of Informatics, Systems and Communication, Università di Milano - Bicocca, Viale Sarca 336/14, 20126 Milano, Italy
Abstract: We introduce and study new generalizations of some rough set tools. Namely, the extended core, the generalized discernibility function, the discernibility space and the maximum partitioner. All these concepts where firstly introduced during the application of rough set theory to graphs, here we show that they have an interesting and useful interpretation also in the general setting. Indeed, among other results, we prove that reducts can be computed in incremental polynomial time, we give some conditions in order that a partition coincides with an indiscernibility partition of a given information table and we give the conditions such that a discernibility matrix corresponds to an information table.
DOI: 10.3233/FI-2016-1431
Journal: Fundamenta Informaticae, vol. 148, no. 1-2, pp. 207-227, 2016
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