In this paper we apply rough set theory to information tables induced from finite directed graphs without loops and multiples arcs (digraphs). Specifically, we use the adjacency matrix of a digraph as a particular type of information table. In this way, we are able to explore on digraphs the notions of indiscernibility partitions, lower and upper approximations, generalized core, reducts and discernibility matrix. All these ideas will be exemplified on standard digraph families as well on examples from social networks and patterns of flight routes between airports.

Chiaselotti, G., Ciucci, D., Gentile, T., Infusino, F. (2017). Rough set theory and digraphs. FUNDAMENTA INFORMATICAE, 153(4), 291-325 [10.3233/FI-2017-1542].

Rough set theory and digraphs

Ciucci, D;Gentile, T;
2017

Abstract

In this paper we apply rough set theory to information tables induced from finite directed graphs without loops and multiples arcs (digraphs). Specifically, we use the adjacency matrix of a digraph as a particular type of information table. In this way, we are able to explore on digraphs the notions of indiscernibility partitions, lower and upper approximations, generalized core, reducts and discernibility matrix. All these ideas will be exemplified on standard digraph families as well on examples from social networks and patterns of flight routes between airports.
Articolo in rivista - Articolo scientifico
attribute dependency; digraph; hypergraph minimal transversal; Rough set theory;
attribute dependency; digraph; hypergraph minimal transversal; Rough set theory; Theoretical Computer Science; Algebra and Number Theory; Information Systems; Computational Theory and Mathematics
English
2017
153
4
291
325
none
Chiaselotti, G., Ciucci, D., Gentile, T., Infusino, F. (2017). Rough set theory and digraphs. FUNDAMENTA INFORMATICAE, 153(4), 291-325 [10.3233/FI-2017-1542].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/187612
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