MULTI-OBJECTIVE PARTICLE SWARM OPTIMIZATION FOR REPAIRING INCONSISTENT COMPARISON MATRICES

Abba Suganda Girsang, Chun-Wei Tsai and Chu-Sing Yang

Keywords

Particle swarm optimization, inconsistent matrix, multiobjectiveoptimization, consistency ratio

Abstract

To repair an inconsistent comparison matrix, two objectives should be minimized, namely the deviation between the original matrix and the modified matrix and the consistency ratio of the modified matrix. However, there will be a conflict if an attempt is made to optimize them together when repairing the inconsistent matrix. This paper proposes a method that uses particle swarm optimization to optimize both objectives when repairing an inconsistent comparison matrix. Some examples of inconsistent matrices are repaired using the proposed method. The results show that the proposed method produces good alternative solutions that satisfy both objectives when repairing inconsistent matrices.

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