Parametric Analysis on the MCDM using TOPSIS
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.