Negation, opposition, and possibility in logical concept analysis

  • Authors:
  • Sébastien Ferré

  • Affiliations:
  • Irisa/Université de Rennes 1, Rennes, France

  • Venue:
  • ICFCA'06 Proceedings of the 4th international conference on Formal Concept Analysis
  • Year:
  • 2006

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Abstract

We introduce the epistemic extension, a logic transformation based on the modal logic AIK (All I Know) for use in the framework of Logical Concept Analysis (LCA). The aim is to allow for the distinction between negation, opposition, and possibility in a unique formalism. The difference between negation and opposition is examplified by the difference between “young/not young” and “young/old”. The difference between negation and possibility is examplified by the difference between “(certainly) not young” and “possibly not young”. Furthermore this epistemic extension entails no loss of genericity in LCA.