Title :
Comparison analysis of methods for deriving priorities in the analytic hierarchy process
Author :
Mikhailov, L. ; Singh, M.G.
Author_Institution :
Dept. of Comput., Univ. of Manchester Inst. of Sci. & Technol., UK
Abstract :
Presents a comparison study of some methods for prioritisation in the analytic hierarchy process. The main objective of this analysis is to compare and evaluate a fuzzy preference programming method with the most popular prioritisation techniques: the eigenvector method, the weighted least squares method, the logarithmic least squared method and the goal programming method. The analysis is based on three evaluation criteria: the total deviation, measuring the Euclidean distance between the ratios obtained by the derived weights and the decision-maker ratios; the minimum violations criterion, measuring the rank reversal properties of the methods; and the conformity, indicating the outliers with respect to the other methods. The evaluation procedure uses randomly generated inconsistent pairwise comparison matrices of different dimensions
Keywords :
decision theory; eigenvalues and eigenfunctions; fuzzy set theory; least squares approximations; mathematical programming; Euclidean distance; analytic hierarchy process; comparison study; conformity; decision-maker ratios; eigenvector method; fuzzy preference programming method; goal programming method; logarithmic least squared method; minimum violations criterion; prioritisation methods; randomly generated inconsistent pairwise comparison matrices; rank reversal properties; total deviation; weighted least squares method; Additives; Constraint optimization; Euclidean distance; Functional programming; Least squares methods; Linear programming; Optimization methods; Performance evaluation; Random number generation; Testing;
Conference_Titel :
Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on
Conference_Location :
Tokyo
Print_ISBN :
0-7803-5731-0
DOI :
10.1109/ICSMC.1999.814236
