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.

Ciucci, D., Dubois, D. (2014). Three-Valued Logics, Uncertainty Management and Rough Sets. TRANSACTIONS ON ROUGH SETS, 17, 1-32 [10.1007/978-3-642-54756-0_1].

Three-Valued Logics, Uncertainty Management and Rough Sets

CIUCCI, DAVIDE ELIO;
2014

Abstract

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.
Articolo in rivista - Articolo scientifico
Rough Sets; Three-valued logics; uncertainty management
English
2014
17
1
32
open
Ciucci, D., Dubois, D. (2014). Three-Valued Logics, Uncertainty Management and Rough Sets. TRANSACTIONS ON ROUGH SETS, 17, 1-32 [10.1007/978-3-642-54756-0_1].
File in questo prodotto:
File Dimensione Formato  
3val-trs-revised SITO.pdf

accesso aperto

Dimensione 637.37 kB
Formato Adobe PDF
637.37 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/50877
Citazioni
  • Scopus 34
  • ???jsp.display-item.citation.isi??? ND
Social impact