From a Possibility Theory View of Formal Concept Analysis to the Possibilistic Handling of Incomplete and Uncertain Contexts - Archive ouverte HAL Access content directly
Conference Papers Year : 2016

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

(1) , (2) , (2, 3) , (2, 3)
1
2
3

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.
Fichier principal
Vignette du fichier
aityakoub_17213.pdf (117.74 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01445243 , version 1 (24-01-2017)

Identifiers

  • HAL Id : hal-01445243 , version 1
  • OATAO : 17213

Cite

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 2016) co-located with ECAI 2016, Aug 2016, La Hague, Netherlands. pp. 79-88. ⟨hal-01445243⟩
124 View
35 Download

Share

Gmail Facebook Twitter LinkedIn More