From a Possibility Theory View of Formal Concept Analysis to the Possibilistic Handling of Incomplete and Uncertain Contexts

Abstract : The formal similarity between possibility theory and formal concept analysis, made ten years ago, has suggested the introduction in the latter setting of the counterpart of possibilistic operators, which were ignored before. These new operators can be related to the basic operator of formal concept analysis by a triple use of negations on the contexts, on the set-valued arguments and on the obtained results, and lead to consider new compositions worth of interest. They enable us to complete the Guigues-Duquenne basis with rules having disjunctive conclusions. Besides, the approach can be naturally generalized to incomplete contexts and then to uncertain context where uncertainty is graded.
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  • HAL Id : hal-01445243, version 1
  • OATAO : 17213

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Zina Ait-Yakoub, Yassine Djouadi, Didier Dubois, Henri Prade. From a Possibility Theory View of Formal Concept Analysis to the Possibilistic Handling of Incomplete and Uncertain Contexts. 5th International Workshop "What can FCA do for Artificial Intelligence?" (FCA4AI@ECAI 2016) co-located with the European Conference on Artificial Intelligence, ECAI 2016, Aug 2016, La Hague, Netherlands. pp. 79-88. ⟨hal-01445243⟩

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