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Chapitre D'ouvrage Année : 2014

Three-Valued Logics, Uncertainty Management and Rough Sets

Résumé

This paper is a survey of the connections between threevalued 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.
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Dates et versions

hal-04353222 , version 1 (19-12-2023)

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Davide Ciucci, Didier Dubois. Three-Valued Logics, Uncertainty Management and Rough Sets. James F. Peters; Andrzej Skowron. Transactions on Rough Sets XVII, TRS 8375, Springer Berlin Heidelberg, pp.1--32, 2014, Transactions on Rough Sets (TRS), 978-3-642-54755-3. ⟨10.1007/978-3-642-54756-0_1⟩. ⟨hal-04353222⟩
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