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

Ait-Yakoub, Zina and Djouadi, Yassine and Dubois, Didier and Prade, Henri From a Possibility Theory View of Formal Concept Analysis to the Possibilistic Handling of Incomplete and Uncertain Contexts. (2016) In: 5th International Workshop "What can FCA do for Artificial Intelligence?" (FCA4AI@ECAI 2016) co-located with the European Conference on Artificial Intelligence, ECAI 2016, 30 August 2016 - 30 August 2016 (La Hague, Netherlands).

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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.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to CEUR editor, a free open-access publication service of Sun SITE Central Europe operated under the umbrella of RWTH Aachen University. The definitive version is available at http://ceur-ws.org/ This paper appears in vol 1703 Ceur Workshop Proceedings ISSN : 1613-0073 The definitive version is available at: http://ceur-ws.org/Vol-1703/paper10.pdf
HAL Id:hal-01445243
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Université Mouloud Mammeri Tizi Ouzou - UMMTO (ALGERIA)
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Deposited By: IRIT IRIT
Deposited On:13 Jan 2017 10:02

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