Consistency of additive preference matrix in pairwise comparisons

Authors

MATULOVÁ Markéta

Year of publication 2014
Type Article in Proceedings
Conference Proceedings of the International Scientific Conference QUANTITATIVE METHODS IN ECONOMICS Multiple Criteria Decision Making XVII
MU Faculty or unit

Faculty of Economics and Administration

Citation
Field Applied statistics, operation research
Keywords multicriteria decision making; analytic hierarchy process; pairwise comparisons; additive preference matrix; consistency
Description A lot of methods for solving multiple criteria decision problems requires some weights of criteria. Widely used way of setting weights is based on pairwise comparisons, but there often occur inconsistencies in the preference expression. Saaty defined the consistency ratio for the analytic hierarchy process where the preferences are expressed in a multiplicative way. We propose a measure of inconsistency for additive preference matrix and carry out an empirical comparative study on the degree of inconsistency of the preference relation in both additive and multiplicative way.

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