This paper investigates the significance of truth-functional three valued logics of ill-known sets described by pairs of disjoint (or pairs of nested) subsets. In particular the case of three-valued logics of rough sets is studied in more details, showing that, while the mathematical underpinnings are sound, the relevance of these logics for reasoning about data-tables containing incomplete descriptions of objects is questionable. © 2010 IEEE.
Ciucci, D., Dubois, D. (2010). Truth-Functionality, Rough Sets and Three-Valued Logics. In 40th International Symposium on Multiple-Valued Logic 2010 (pp.98-103). IEEE [10.1109/ISMVL.2010.26].
Truth-Functionality, Rough Sets and Three-Valued Logics
CIUCCI, DAVIDE ELIO;
2010
Abstract
This paper investigates the significance of truth-functional three valued logics of ill-known sets described by pairs of disjoint (or pairs of nested) subsets. In particular the case of three-valued logics of rough sets is studied in more details, showing that, while the mathematical underpinnings are sound, the relevance of these logics for reasoning about data-tables containing incomplete descriptions of objects is questionable. © 2010 IEEE.
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