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Three-valued logics, uncertainty management and rough sets

Ciucci, Davide and Dubois, Didier Three-valued logics, uncertainty management and rough sets. (2014) In: Transactions on Rough Sets XVII. (Lecture Notes in Computer Sciences). Springer-Verlag Berlin Heidelberg, 1-32. ISBN 978-3-642-54755-3

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Official URL: http://dx.doi.org/10.1007/978-3-642-54756-0_1


This paper is a survey of the connections between three-valued logics and rough sets from the point of view of incomplete information management. Based on the fact that many three-valued logics can be put under a unique algebraic umbrella, we show how to translate three-valued conjunctions and implications into operations on ill-known sets such as rough sets. We then show that while such translations may provide mathematically elegant algebraic settings for rough sets, the interpretability of these connectives in terms of an original set approximated via an equivalence relation is very limited, thus casting doubts on the practical relevance of truth-functional logical renderings of rough sets.

Item Type:Book Section
Additional Information:Thanks to Springer Verlag editor. The definitive version is available at http://link.springer.com/chapter/10.1007%2F978-3-642-54756-0_1
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Università degli Studi di Milano-Bicocca - BICOCCA (ITALY)
Laboratory name:
Deposited On:05 Mar 2015 07:09

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