论文信息 - Linear Inequalities and the Analysis of Multi-Attribute Value Matrices

Linear Inequalities and the Analysis of Multi-Attribute Value Matrices

Barron and Barrett, 1996(b) demonstrate empirically that a surrogate weight vector, rank order centroid (ROC) weights, based only on ranked swing weights, is surprisingly efficacious in general in selecting a best multi-attribute alternative. An Excel-based simulation, EMAR, allows one to assess the applicability of the general result to any particular value matrix. In this paper we extend EMAR to partial information sets of weights other than a strict ranking. We also apply these procedures to examine the effect of reducing the number of attributes.

Bruce E. Barrett | F. H. Barron | F. Hutton Barron

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

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

[3] W. Edwards,et al. Decision Analysis and Behavioral Research , 1986 .

[4] David L. Olson,et al. Implementation of the centroid method of Solymosi and Dombi , 1992 .

[5] Bruce E. Barrett,et al. Decision quality using ranked attribute weights , 1996 .

[6] Allan R. Wilks,et al. Analysis of Data From the Places Rated Almanac , 1987 .

[7] M. Sobel,et al. Incomplete Dirichlet integrals with applications to ordered uniform spacings , 1980 .

[8] Bruce E. Barrett,et al. The efficacy of SMARTER — Simple Multi-Attribute Rating Technique Extended to Ranking , 1996 .

[9] F. H. Barron,et al. Selecting a best multiattribute alternative with partial information about attribute weights , 1992 .

[10] J. Dombi,et al. A method for determining the weights of criteria: the centralized weights , 1986 .

[11] F. H. Barron,et al. INFLUENCE OF MISSING ATTRIBUTES ON SELECTING A BEST MULTIATTRIBUTED ALTERNATIVE , 1987 .

[12] D. A. Seaver,et al. A comparison of weight approximation techniques in multiattribute utility decision making , 1981 .

[13] F. H. Barron,et al. SMARTS and SMARTER: Improved Simple Methods for Multiattribute Utility Measurement , 1994 .

[14] R. Keeney,et al. Eliciting public values for complex policy decisions , 1990 .