On a Criterion of Similarity between Partitions Based on Rough Set Theory

  • Authors:
  • Yasuo Kudo;Tetsuya Murai

  • Affiliations:
  • College of Information and Systems, Muroran Institute of Technology, Muroran, Japan 050-8585;Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan 060-0814

  • Venue:
  • RSFDGrC '09 Proceedings of the 12th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing
  • Year:
  • 2009

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Abstract

In this paper, we introduce a criterion of similarity between partitions. The proposed similarity criterion is a generalization of an evaluation criterion of relative reducts proposed by the authors and evaluates the similarity of partitions by correctness and roughness with each other. Moreover, for comparison of similarity scores between different universes, we also propose a normalized similarity criterion.