Remarks on pairwise comparison numerical and non-numerical rankings

  • Authors:
  • Ryszard Janicki;Yun Zhai

  • Affiliations:
  • Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada;Artificial Intelligence in Medicine, Toronto, Ontario, Canada

  • Venue:
  • RSKT'11 Proceedings of the 6th international conference on Rough sets and knowledge technology
  • Year:
  • 2011

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Abstract

A relationship between pairwise comparison classical numerical ranking and a partial order based pairwise comparison nonnumerical ranking is discussed. A consistent non-numerical ranking that is equivalent to a given consistent numerical ranking is constructed and the correctness of this construction is proven. A new concept of consistency for the pairwise comparison classical numerical ranking is given.