Oppositions in rough set theory

Authors:
Davide Ciucci;Didier Dubois;Henri Prade
Affiliations:
IRIT, Université Paul Sabatier, Toulouse cedex 9, France,DISCo, Università di Milano --- Bicocca, Milano, Italia;IRIT, Université Paul Sabatier, Toulouse cedex 9, France;IRIT, Université Paul Sabatier, Toulouse cedex 9, France
Venue:
RSKT'12 Proceedings of the 7th international conference on Rough Sets and Knowledge Technology
Year:
2012

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Abstract

The role of opposition in rough set theory is laid bare. There are two sources which generate oppositions in rough sets: approximations and relations. In the former case, we outline a hexagon and a cube of oppositions. In the second case, we define a classical square of oppositions and also a tetrahedron when considering the standpoint of two agents.