The Bipolar Complemented de Morgan Brouwer-Zadeh Distributive Lattice as an Algebraic Structure for the Dominance-based Rough Set Approach

Authors:
Salvatore Greco;Benedetto Matarazzo;Roman Sł/owiń/ski
Affiliations:
(Correspd.) Department of Economics and Business, University of Catania, Corso Italia 55, 95129 Catania, Italy. salgreco@unict.it/ matarazz@unict.it;Department of Economics and Business, University of Catania, Corso Italia 55, 95129 Catania, Italy. salgreco@unict.it/ matarazz@unict.it;(We gratefully acknowledge the financial support of the Polish Ministry of Science and Higher Education, grant no. N N519 441939.) Institute of Computing Science, Poznań/ University of Technol ...
Venue:
Fundamenta Informaticae - From Physics to Computer Science: to Gianpiero Cattaneo for his 70th birthday
Year:
2012

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Abstract

We introduce the bipolar complemented de Morgan Brouwer-Zadeh distributive lattice in order to give an algebraic model the to Dominance-based Rough Set Approach. We present also the concept of bipolar approximation space and we show how it can be induced from a bipolar quasi Brouwer-Zadeh lattice.