Formal concept analysis as a framework for business intelligence technologies

  • Authors:
  • Juraj Macko

  • Affiliations:
  • Dept. Computer Science, Palacky University, Olomouc, Czech Republic

  • Venue:
  • ICFCA'12 Proceedings of the 10th international conference on Formal Concept Analysis
  • Year:
  • 2012

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Abstract

Numerical datasets in data mining are handled using various methods. In this paper, data mining of numerical data using FCA in combination with some interesting ideas from OLAP technology is proposed. This novel method is an enhancement of FCA, in which measures are assigned to objects and/or attributes and then various numeric operations are applied to these measures (e.g. summarization, aggregation functions etc.). This new approach results in a structure, which is a concept lattice and where the extent and/or intent have aggregated values assigned to them. This structure could be seen as a generalization of OLAP technology. A concept lattice can be constrained by using various closure operators. The new closure operators presented here are based on values with very clear meaning for the user. Finally, a fuzzy OLAP formalization based on FCA in a fuzzy setting and using measures is proposed. Examples are shown for each introduced topic.