Advances and Applications in Discrete Mathematics
Volume 24, Issue 1, Pages 39 - 54
(May 2020) http://dx.doi.org/10.17654/DM024010039 |
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A METRIC PROCEDURE FOR CARDINAL PREFERENCES
Ruffin-Benoît M. Ngoie and Zoïnabo Savadogo
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Abstract: In this paper, we define a distance function for cardinal preferences such that well-known distance axioms in ranking framework are still filled. The obtained distance called “grade-based distance” is equivalent to Cook-Seiford distance and is computed in polynomial time. The grade-based distance is a generalization of Cook-Seiford distance in the sense that it deals with ordinal data and cardinal ones as well. Suggestions for future research directions are given. |
Keywords and phrases: cardinal preferences, consensus, distance function, grading, ranking.
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