Ranking with Partial Information: A Method and an Application

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.

[1]  Peter C. Fishburn,et al.  Decision And Value Theory , 1965 .

[2]  R. Luce,et al.  Simultaneous conjoint measurement: A new type of fundamental measurement , 1964 .

[3]  C. C. Waid,et al.  An Experimental Comparison of Different Approaches to Determining Weights in Additive Utility Models , 1982 .

[4]  P. Fishburn Analysis of Decisions with Incomplete Knowledge of Probabilities , 1965 .

[5]  Peter C. Fishburn,et al.  Additive utilities with finite sets: Applications in the management sciences , 1967 .

[6]  Robert M. Pruzek,et al.  Weighting predictors in linear models: Alternatives to least squares and limitations of equal weights. , 1978 .

[7]  R. Hogarth,et al.  Unit weighting schemes for decision making , 1975 .

[8]  B. Hobbs A COMPARISON OF WEIGHTING METHODS IN POWER PLANT SITING , 1980 .

[9]  Herbert Moskowitz Robustness of linear models for decision making: Some comments , 1976 .

[10]  Howard Wainer,et al.  Estimating Coefficients in Linear Models: It Don't Make No Nevermind , 1976 .

[11]  Robert H. Ashton,et al.  The robustness of linear models for decision-making , 1976 .

[12]  R. Dawes,et al.  Linear models in decision making. , 1974 .

[13]  G. Debreu Topological Methods in Cardinal Utility Theory , 1959 .

[14]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[15]  F. H. Barron,et al.  USING FISHBURN'S TECHNIQUES FOR ANALYSIS OF DECISION TREES: SOME EXAMPLES* , 1973 .

[16]  Peter C. Fishburn,et al.  Additivity in Utility Theory with Denumerable Product Sets , 1966 .

[17]  J.Robert Newman Differential weighting in multiattribute utility measurement: When it should not and when it does make a difference , 1977 .

[18]  James E. Laughlin,et al.  Comment on "Estimating coefficients in linear models: It don't make no nevermind." , 1978 .

[19]  Andrew P. Sage,et al.  A Multiple Objective Optimization-Based Approach to Choicemaking , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[20]  Peter C. Fishburn,et al.  Independence in Utility Theory with Whole Product Sets , 1965 .

[21]  A. Tversky,et al.  Foundations of Measurement, Vol. I: Additive and Polynomial Representations , 1991 .

[22]  Edward L. Hannan,et al.  Obtaining Nondominated Priority Vectors for Multiple Objective Decisionmaking Problems with Different Combinations of Cardinal and Ordinal Information , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[23]  C. Kirkwood A Case History of Nuclear Power Plant Site Selection , 1982 .