Information and Preference in Partial Orders: A Bimatrix Representation
- 1 June 1986
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 51 (2) , 197-207
- https://doi.org/10.1007/bf02293980
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. The l1 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.Keywords
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