Hybrid Multi-Criteria Framework Integrating TOPSIS, SAW, VIKOR, COPRAS and CODAS

Constanta Zoie RADULESCU, Marius RADULESCU

Abstract

This paper proposes a novel hybrid multi-criteria framework called COMSOL5 (COMbining SOLutions), that integrates five well-known multi-criteria methods: TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution), SAW (Simple Additive Weighting), VIKOR (VIseKriterijumska Optimizacija I Kompromisno Resenje), COPRAS (Complex Proportional Assessment) and CODAS (Combinative Distance-based Assessment). By combining additive, distance-based, and compromise-oriented aggregation principles, the COMSOL5 framework provides a balanced approach to the multicriteria analysis. This framework was evaluated by using 1000 randomly generated decision matrices in order to examine the alternatives` ranking stability and inter-method correlations. The obtained results indicate a strong consistency between the COMSOL5 framework and the individual multi-criteria methods, with Spearman correlation coefficients above 0.89 across all the pairwise comparisons and reaching 0.98 for the SAW and COPRAS methods. The COMSOL5 framework also demonstrated a superior discriminatory power and ranking stability, particularly for moderately performing alternatives for which the individual methods showed variability. The proposed hybridization of multi-criteria methods reduces the sensitivity to data perturbations, confirming that the COMSOL5 framework is a robust decision-support tool for multi-criteria environments.

Keywords

Multi-criteria methods, Hybrid approach, TOPSIS, SAW, VIKOR, COPRAS, CODAS.

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