Generating a Set of Consistent Pairwise Comparison Test Matrices in AHP using Particle Swarm Optimization

Author:

Karkour Youssef1,Tajani Chakir1,Khattabi Idriss2

Affiliation:

1. SMAD Team, Department of Mathematics Polydisciplinary Faculty of Larache, Abdelmalek Essaâdi University MOROCCO

2. Department of Informatics Polydisciplinary Faculty of Larache, Abdelmalek Essaâdi University MOROCCO

Abstract

Pairwise Comparison Matrix (PCM) play a crucial role in multi-criteria decision-making, especially within the framework of the Analytic Hierarchy Process (AHP). It is essential for an expert to systematically assess and compare alternatives, considering various criteria as part of the decision-making process. The AHP relies on consistency to ensure the accuracy of pairwise comparisons made by decision makers, increasing the overall integrity of the decision-making process. The aim of this paper is to present an approach based on Particle Swarm Optimization (PSO) as a metaheuristic method to generate a set of consistent pairwise comparison matrices. Numerical results are presented with different sizes of matrices showing the effectiveness of our algorithm in producing acceptable matrices for the benefit of expets.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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