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Algebra of Rough Sets based on Quasi Order

Nagarajan E. K. R., Umadevi D.

Fundamenta Informaticae

2013

Vol. 126, nr 1

83--101

In this paper, we give a characterization theorem for rough sets based on quasi order. We obtain an algebra on the rough sets system determined by a quasi order which is the generalization of the algebra of rough sets system determined by an equivalence relation given in [1]. The properties of this algebra are abstracted at various levels and define new class of algebras. Further we give a representation theorem for the new class of algebras.