Oppositions in Rough Set Theory

Davide Ciucci (1) , Didier Dubois (2, 3) , Henri Prade (2)

1 DISCo - Dipartimento di Informatica Sistemistica e Comunicazione
2 IRIT-ADRIA - Argumentation, Décision, Raisonnement, Incertitude et Apprentissage
3 QUB - Queen's University [Belfast]

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.

Domaines: Intelligence artificielle [cs.AI]

Davide Ciucci, Didier Dubois, Henri Prade. Oppositions in Rough Set Theory. 7th International Conference on Rough Sets and Knowledge Technology (RSKT 2012), Aug 2012, Chengdu, China. pp.504-513, ⟨10.1007/978-3-642-31900-6_62⟩. ⟨hal-03346979⟩