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Ordinal ranking methods for multicriterion decision making

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  • Zachary F. Lansdowne

Abstract

Given multiple criteria and multiple alternatives, the goal is to aggregate the criteria information and obtain an overall ranking of alternatives. An ordinal ranking method requires only that the rank order of the alternatives be known for each criterion. We compare and illustrate the ordinal ranking methods devised by Borda, Bernardo, Cook and Seiford, Köhler, and Arrow and Raynaud. We show whether each method places the Condorcet winner (if it exists) in first place, ranks the alternatives according to the Condorcet order (if it exists), and satisfies two principles of sequential independence. We also consider the application of these methods to cost and operational effectiveness analyses (COEAs). © 1996 John Wiley & Sons, Inc.

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  • Zachary F. Lansdowne, 1996. "Ordinal ranking methods for multicriterion decision making," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(5), pages 613-627, August.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:5:p:613-627
    DOI: 10.1002/(SICI)1520-6750(199608)43:53.0.CO;2-8
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    References listed on IDEAS

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    1. James S. Dyer, 1990. "Remarks on the Analytic Hierarchy Process," Management Science, INFORMS, vol. 36(3), pages 249-258, March.
    2. Van Newenhizen, Jill, 1992. "The Borda Method Is Most Likely to Respect the Condorcet Principle," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 69-83, January.
    3. Wade D. Cook & Lawrence M. Seiford, 1978. "Priority Ranking and Consensus Formation," Management Science, INFORMS, vol. 24(16), pages 1721-1732, December.
    4. James S. Dyer, 1990. "A Clarification of "Remarks on the Analytic Hierarchy Process"," Management Science, INFORMS, vol. 36(3), pages 274-275, March.
    5. Kenneth J. Arrow & Herve Raynaud, 1986. "Social Choice and Multicriterion Decision-Making," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262511754, April.
    6. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    7. Peter Fishburn & William Gehrlein, 1976. "Borda's rule, positional voting, and Condorcet's simple majority principle," Public Choice, Springer, vol. 28(1), pages 79-88, December.
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    1. Yu Xiao & Ye Deng & Jun Wu & Hong‐Zhong Deng & Xin Lu, 2017. "Comparison of rank aggregation methods based on inherent ability," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(7), pages 556-565, October.
    2. B. Ahn & S. Choi, 2012. "Aggregation of ordinal data using ordered weighted averaging operator weights," Annals of Operations Research, Springer, vol. 201(1), pages 1-16, December.

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