Three-Valued Logics, Uncertainty Management and Rough Sets [chapter]

Davide Ciucci, Didier Dubois
2014 Lecture Notes in Computer Science  
OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in : http://oatao.univ-toulouse.fr/ Eprints ID : 13623 To link to this article : Abstract. 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
more » ... ebraic 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.
doi:10.1007/978-3-642-54756-0_1 fatcat:o7vun6jnzncxrizq3vfwxvji34