Ranking with Partial Information: A Method and an Application

Craig W. Kirkwood · Rakesh Kumar Sarin

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Multi-Criteria Decision Making Game Theory and Voting Systems Military Defense Systems Analysis

Abstract

A method is presented for ranking multiattributed alternatives using a weighted-additive evaluation function with partial information about the weighting (scaling) constants, the method is applied to evaluate materials for use in nuclear waste containment. The paper derives conditions to determine whether a pair of alternatives can be ranked given the partial information about weighting constants, and presents an algorithm that partially rank-orders the complete set of alternatives based on the pairwise ranking information.

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References

2019Theory of games and economic behavior 1993Decisions with Multiple Objectives 1964Simultaneous conjoint measurement: A new type of fundamental measurement 1974Linear models in decision making.1971Foundations of Measurement, Vol. I: Additive and Polynomial Representations 2008Topological methods in cardinal utility theory 1982An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models 1965Independence in Utility Theory with Whole Product Sets

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