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On the algebra of regular sets
The mereotopology RT has in Stonian p-ortholattices its algebraic counterpart. We study representability of these lattices and show that not all Stonian p-ortholattices can be represented by the set of regular sets of a topological space. We ...
Algebra of Rough Sets based on Quasi Order
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 ...
The Basis Algebra in L-Fuzzy Rough Sets
RSKT '09: Proceedings of the 4th International Conference on Rough Sets and Knowledge TechnologyThe basis algebra and the binary relation are two important notions in the constructive approach of approximation operators in rough sets theory. This paper discusses the influence of the basis algebra on the properties of approximation operators. The ...
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