论文信息 - Information and preference in partial orders: A bimatrix representation

Information and preference in partial orders: A bimatrix representation

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. Thel1 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.

L. Seiford | W. Cook | M. Kress

[1] D. Black. The theory of committees and elections , 1959 .

[2] W. Riker. Voting and the Summation of Preferences: An interpretive Bibliographical Review of Selected Developments During the Last Decade , 1961 .

[3] Melvin J. Hinich,et al. SOCIAL PREFERENCE ORDERINGS AND MAJORITY RULE , 1972 .

[4] K. Bogart. Preference structures I: Distances between transitive preference relations† , 1973 .

[5] K. Bogart. Preference Structures. II: Distances Between Asymmetric Relations , 1975 .

[6] Lawrence M. Seiford,et al. R&D Project Selection in a Multidimensional Environment: A Practical Approach , 1982 .

[7] T. MARGUSH,et al. Distances between trees , 1982, Discret. Appl. Math..

[8] P. Vincke,et al. Relational Systems of Preference with One or More Pseudo-Criteria: Some New Concepts and Results , 1984 .