Good classification tests as formal concepts

  • Authors:
  • Xenia A. Naidenova

  • Affiliations:
  • Military Medical Academy, Saint-Petersburg, Russian Federation

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

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Abstract

The interconnection between the Diagnostic (Classification) Test Approach to Data Analysis and the Formal Concept Analysis (FCA) is considered. The definition of a good classification test is given via Galois's correspondences. Next we discuss the relations between good tests and formal concepts. A good classification test is understood as a good approximation of a given classification on a given set of examples. Classification tests serve as a basis for inferring implicative, functional dependencies and association rules from datasets. This approach gives the possibility to directly control the data analysis process by giving object classifications.