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Information and preference in partial orders: A bimatrix representation

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Abstract

This paper presents a bimatrix structure for examining ordinal partial rankings. A set of axioms is given similar to those of Kemeny and Snell (1962) and Bogart (1973), which uniquely determines the distance between any pair of such rankings. Thel 1 norm is shown to satisfy this set of axioms, and to be equivalent to the Kemeny and Snell distance on their subspace of weak orderings. Consensus formation is discussed.

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Author information

Authors and Affiliations

  1. Cema, USA

    Moshe Kress

  2. Department of General Business, University of Texas, USA

    Lawrence M. Seiford

  3. Faculty of Administrative Studies, York University, Room 340, M3J 2R6, Downsview, Ontario, Canada

    Wade D. Cook

Authors
  1. Wade D. Cook
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  2. Moshe Kress
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  3. Lawrence M. Seiford
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Additional information

This research was supported by a NSERC grant A8966.

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Cook, W.D., Kress, M. & Seiford, L.M. Information and preference in partial orders: A bimatrix representation. Psychometrika 51, 197–207 (1986). https://doi.org/10.1007/BF02293980

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  • DOI: https://doi.org/10.1007/BF02293980

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