Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough-Fuzzy Hybridization: A New Trend in Decision Making
Rough-Fuzzy Hybridization: A New Trend in Decision Making
Dominance-Based Rough Set Approach to Reasoning About Ordinal Data
RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
Dominance-Based Rough Set Approach and Bipolar Abstract Rough Approximation Spaces
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
Rough Set Approach to Knowledge Discovery about Preferences
ICCCI '09 Proceedings of the 1st International Conference on Computational Collective Intelligence. Semantic Web, Social Networks and Multiagent Systems
Dominance-based rough set approach to reasoning about ordinal data: a tutorial
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
Dominance-based rough set approach for decision analysis: a tutorial
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
Algebraic structures for dominance-based rough set approach
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
Case-based reasoning using gradual rules induced from dominance-based rough approximations
RSKT'08 Proceedings of the 3rd international conference on Rough sets and knowledge technology
RSCTC'10 Proceedings of the 7th international conference on Rough sets and current trends in computing
DRSA decision algorithm analysis in stylometric processing of literary texts
RSCTC'10 Proceedings of the 7th international conference on Rough sets and current trends in computing
On topological dominance-based rough set approach
Transactions on rough sets XII
Rough set-based analysis of characteristic features for ANN classifier
HAIS'10 Proceedings of the 5th international conference on Hybrid Artificial Intelligence Systems - Volume Part I
Fundamenta Informaticae - From Physics to Computer Science: to Gianpiero Cattaneo for his 70th birthday
Fundamenta Informaticae - Concurrency Specification and Programming (CS&P)
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Referring to some ideas of Leibniz, Frege, Boole and Łukasiewicz, we represent fundamental concepts of rough set theory in terms of a generalization that permits to deal with the graduality of fuzzy sets. Our conjunction of rough sets and fuzzy sets is made using the Dominance-based Rough Set Approach (DRSA). DRSA have been proposed to take into account ordinal properties of data related to preferences. We show that DRSA is also relevant in case where preferences are not considered but a kind of monotonicity relating attribute values is meaningful for the analysis of data at hand. In general, monotonicity concerns relationship between different aspects of a phenomenon described by data, e.g.: "the larger the house, the higher its price" or "the more a tomato is red, the more it is ripe". The qualifiers, like "large house", "high price", "red" and "ripe", may be expressed either in terms of some measurement units, or in terms of degrees of membership to some fuzzy sets. In this perspective, the DRSA gives a very general framework in which the classical rough set approach based on indiscernibility relation can be considered as a particular case.