From triconcepts to triclusters

  • Authors:
  • Dmitry I. Ignatov;Sergei O. Kuznetsov;Ruslan A. Magizov;Leonid E. Zhukov

  • Affiliations:
  • National Research University Higher School of Economics, Moscow, Russia;National Research University Higher School of Economics, Moscow, Russia;National Research University Higher School of Economics, Moscow, Russia;National Research University Higher School of Economics, Moscow, Russia

  • Venue:
  • RSFDGrC'11 Proceedings of the 13th international conference on Rough sets, fuzzy sets, data mining and granular computing
  • Year:
  • 2011

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Abstract

A novel approach to triclustering of a three-way binary data is proposed. Tricluster is defined in terms of Triadic Formal Concept Analysis as a dense triset of a binary relation Y, describing relationship between objects, attributes and conditions. This definition is a relaxation of a triconcept notion and makes it possible to find all triclusters and triconcepts contained in triclusters of large datasets. This approach generalizes the similar study of concept-based biclustering.