E. E. Vityaev, V. V. Martinovich, “Exploring noisy contexts with probabilistic formal concepts”, Sib. J. Pure and Appl. Math., 2017, Volume 17, Issue 4,Pages <nobr>28

Exploring noisy contexts with probabilistic formal concepts

E. E. Vityaev^ab, V. V. Martinovich^a

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: We propose a qualitatively new approach to the problem of recognizing formal concepts in noisy contexts. A logical probablistic generalization of formal concepts is introduced to handle noise. We show how to solve the inductive inference ambiguity problem.

Keywords: formal concept analysis, concept lattice, inductive learning, probability, data mining, association rules, classification, noise.

Received: 25.10.2017

DOI: 10.17377/PAM.2017.17.3