Abstract
The Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is widely used in the field of multi-criteria decision analysis. Despite its popularity and widespread application, little attention has been given to the mathematical foundation that underlies the TOPSIS algorithm. The existing literature on this subject is far from comprehensive, leaving many aspects of the algorithm unexplored. This paper aims to address this gap in the literature by delving into the optimization problem associated with TOPSIS. Unlike traditional interval analysis theory, which only covers a limited scope, our approach extends to a broader range of scenarios and offers valuable practical applications. Moreover, we have identified the necessary prerequisites for obtaining the optimal solution points in TOPSIS. Additionally, we have established a significant relationship between the TOPSIS Optimization Problem and Variational Inequality Problem. Through our comprehensive analysis and investigation, we make substantial contributions to the understanding and advancement of the TOPSIS methodology.
Recommended Citation
Roy, Sudipta and Chatterjee, Sandip
(2024).
(R2100) Optimality Conditions of a TOPSIS Optimization Model and its Application on Interval-Valued Data,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 20,
Iss.
1, Article 11.
Available at:
https://digitalcommons.pvamu.edu/aam/vol20/iss1/11