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 non-standard 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.
Cattaneo, G., Ciucci, D. (2004). On the lattice structure of preclusive rough sets. In 2004 IEEE International Conference on Fuzzy Systems - Proceedings (pp.121-126). IEEE [10.1109/FUZZY.2004.1375700].
On the lattice structure of preclusive rough sets
CATTANEO, GIANPIERO;CIUCCI, DAVIDE ELIO
2004
Abstract
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 non-standard 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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