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Ordinal ranking methods for multicriterion decision making
Author(s) -
Lansdowne Zachary F.
Publication year - 1996
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/(sici)1520-6750(199608)43:5<613::aid-nav2>3.0.co;2-8
Subject(s) - condorcet method , ranking (information retrieval) , arrow , ordinal data , rank (graph theory) , aggregate (composite) , mathematics , independence of irrelevant alternatives , order (exchange) , mathematical economics , independence (probability theory) , computer science , operations research , mathematical optimization , social choice theory , statistics , artificial intelligence , voting , combinatorics , economics , materials science , finance , politics , political science , law , composite material , programming language
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.