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.
Ciucci, D., Dubois, D., Prade, H. (2012). Oppositions in Rough Set Theory. In Rough Sets and Knowledge Technology (pp.504-513). Springer [10.1007/978-3-642-31900-6_62].
Oppositions in Rough Set Theory
CIUCCI, DAVIDE ELIO;
2012
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.
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