Parametric Analysis on the MCDM using TOPSIS

	International Journal of Mathematics Trends and Technology (IJMTT)
	© 2016 by IJMTT Journal
	Volume-35 Number-2
	Year of Publication : 2016
	Authors : Mohamed Sayed Ali Osman, Gamal Eldin Abd El_Hakim Mohamed
	10.14445/22315373/IJMTT-V35P519

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). V35(2):145-150 July 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

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.

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Keywords
MCDM, SMART, TOPSIS, Parametric analysis.