Some methodological remarks about categorical equivalences in the abstract approach to roughness – part II

Authors:
Gianpiero Cattaneo;Davide Ciucci
Affiliations:
Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano – Bicocca, Milano, Italia;Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano – Bicocca, Milano, Italia
Venue:
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Year:
2006

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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