Dominance-Based Rough Set Approach and Bipolar Abstract Rough Approximation Spaces

Authors:
Salvatore Greco;Benedetto Matarazzo;Roman Słowiński
Affiliations:
Faculty of Economics, University of Catania, Catania, Italy 95129;Faculty of Economics, University of Catania, Catania, Italy 95129;Institute of Computing Science, Poznań University of Technology, Poznań, 60-965 and Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland 01-447
Venue:
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
Year:
2008

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Abstract

We take into consideration Dominance-based Rough Set Approach and its recently proposed algebraic modeling in terms of bipolar de Morgan Brower-Zadeh distributive lattice. On this basis we introduce the concept of bipolar approximation space and we show how it can be induced from a bipolar quasi Brower-Zadeh lattice.