Truth-Functionality, Rough Sets and Three-Valued Logics

  • Authors:
  • Davide Ciucci;Didier Dubois

  • Affiliations:
  • -;-

  • Venue:
  • ISMVL '10 Proceedings of the 2010 40th IEEE International Symposium on Multiple-Valued Logic
  • Year:
  • 2010

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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.