Probabilistic concepts in formal contexts

Authors:
Alexander Demin;Denis Ponomaryov;Evgeny Vityaev
Affiliations:
Institute of Informatics Systems, Novosibirsk, Russia;Institute of Informatics Systems, Novosibirsk, Russia;Institute of Mathematics, Novosibirsk, Russia
Venue:
PSI'11 Proceedings of the 8th international conference on Perspectives of System Informatics
Year:
2011

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Formal Concept Analysis: foundations and applications

Formal Concept Analysis: foundations and applications

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Abstract

We generalize the main notions of Formal Concept Analysis with the ideas of the semantic probabilistic inference. We demonstrate that under standard restrictions, our definitions completely correspond to the original notions of Formal Concept Analysis. From the point of view of applications, we propose a method of recovering concepts in formal contexts in presence of noise on data.