On the lattice structure of preclusive rough sets

Gianpiero Cattaneo, Davide Ciucci · 2005

Once defined a rough approximation map on the abstract notion of minimal BZ lattice, the collection of all rough approximations is took into account and its structure is analyzed with respect to lattice properties. Further, some nonstandard complementations are introduced on it. Finally, the results obtained in the abstract environment are applied to the concrete case of preclusive rough sets on a preclusive space.

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