In this paper, it is remarked that BZ lattice structures can recover several theoretical approaches to rough sets, englobing their individual richness in a unique structure. Rough sets based on a similarity relation are also considered, showing that the BZ lattice approach turns out to be even more useful, since enables one to define another rough approximation, which is better than the corresponding similarity one.
Cattaneo, G., Ciucci, D. (2006). Some Methodological Remarks about Categorical Equivalences in the Abstract Approach to Roughness. Part II. In Rough Sets and Knowledge Technology First International Conference, RSKT 2006, Chongquing, China, July 24-26, 2006, Proceedings (pp.284-289). Springer [10.1007/11795131_41].
Some Methodological Remarks about Categorical Equivalences in the Abstract Approach to Roughness. Part II
CATTANEO, GIANPIERO;CIUCCI, DAVIDE ELIO
2006
Abstract
In this paper, it is remarked that BZ lattice structures can recover several theoretical approaches to rough sets, englobing their individual richness in a unique structure. Rough sets based on a similarity relation are also considered, showing that the BZ lattice approach turns out to be even more useful, since enables one to define another rough approximation, which is better than the corresponding similarity one.
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