Evaluation of Technology using TOPSIS in Presence of Multi-collinearity in Attributes: Why use the Mahalanobis distance?

Authors

  • Rodrigo Villanueva-Ponce Universidad Autónoma de Ciudad Juárez
  • Jorge Luis García-Alcaraz Universidad Autónoma de Ciudad Juárez https://orcid.org/0000-0002-7092-6963

Keywords:

Multi-attribute techniques, Technology for Advance Manufacturing (TAM) investment,, TOPSIS, Euclidean distance, Mahalanobis distance

Abstract


This paper validates mathematically an improvement to the multi-criteria technique TOPSIS, (Technique for Order of Preference by Similarity to Ideal Solution) which traditionally uses the Euclidean distance when evaluating a set of alternatives, and assumes that there is independence between the attributes of the alternatives being evaluated, condition that is not always true. This paper demonstrates how the Mahalanobis distance incorporates the linear dependence between the alternative’s attributes, and also presents two cases of study in which evaluations are performed with both distances, finding differences in proposed solutions.

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Published

2013-08-16

How to Cite

Villanueva-Ponce, R., & García-Alcaraz, J. L. (2013). Evaluation of Technology using TOPSIS in Presence of Multi-collinearity in Attributes: Why use the Mahalanobis distance?. Revista Facultad De Ingeniería Universidad De Antioquia, (67), 31–42. Retrieved from https://revistas.udea.edu.co/index.php/ingenieria/article/view/16308