Rough-set-based approaches to data containing incomplete information: possibility-based cases

  • Authors:
  • Michinori Nakata;Hiroshi Sakai

  • Affiliations:
  • Josai International University;Kyushu Institute of Technology

  • Venue:
  • Proceedings of the 2005 conference on Advances in Logic Based Intelligent Systems: Selected Papers of LAPTEC 2005
  • Year:
  • 2005

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Abstract

Methods based on rough sets to data containing incomplete information are examined under a possibilty-based interpretation for whether a correctness criterion is satisfied or not. The correctness criterion is to give the same results as methods by possible tables. The methods proposed so far do not give the same results as methods by possible tables. Therefore, we show a new formula not using implication operators in methods by valued tolerance relations. The formula bears the results that agree with ones from using possible tables. Thus, by using the formula the methods by valued tolerance relations satisfy the correctness criterion.