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

Volume

1

fYear

1999

fDate

1999

Firstpage

1037

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on

Conference_Location

Tokyo

ISSN

1062-922X

Print_ISBN

0-7803-5731-0

Type

conf

DOI

10.1109/ICSMC.1999.814236

Filename

814236