Parametric Analysis on the MCDM using TOPSIS

Mohamed Sayed Ali Osman; Gamal Eldin Abd El_Hakim Mohamed

doi:https://doi.org/10.14445/22315373/IJMTT-V35P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 35 | Number 2 | Year 2016 | Article Id. IJMTT-V35P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V35P519

Parametric Analysis on the MCDM using TOPSIS

Mohamed Sayed Ali Osman, Gamal Eldin Abd El_Hakim Mohamed

Citation :

Mohamed Sayed Ali Osman, Gamal Eldin Abd El_Hakim Mohamed, "Parametric Analysis on the MCDM using TOPSIS," International Journal of Mathematics Trends and Technology (IJMTT), vol. 35, no. 2, pp. 145-150, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V35P519

Abstract

Multi-Criteria Decision Making (MCDM) is a branch of a general class of Operations Research models and management science, which deals with decision problems under the presence of a number of decision criteria. In this paper, we study the stability of (MCDM) problems with parameters in the decision matrix, by using the hybridization between Simple Multi Attribute Rating Technique(SMART) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) methods, to explain the effect of the parameters in the decision matrix. The SMART method is applied to determinate the weights for each of the criteria to reflect its relative importance. In TOPSIS method alternatives are ranked based on their distance from an ideal solution and a negative-ideal solution. Parametric analysis allows us to choose parameters for evaluation, refine the parameters until satisfied with the results. Finally, an illustrative numerical example is given to explain the parametric analysis on the MCDM problem by using the hybridization between SMART and TOPSIS method, where the results are obtained using the MATLAB program.

Keywords

MCDM, SMART, TOPSIS, Parametric analysis.

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