Sensitivity Analysis of the TOPSIS Method in Respect of Initial Data Distributions
Rūta Simanavičienė
Vilnius Gediminas Technical University, Lithuania
Vaida Petraitytė
Claim Department, AB “Lietuvos draudimas”, Lithuania
Published 2016-12-20


multiple criteria decision-making
TOPSIS method
sensitivity analysis
probability distribution

How to Cite

Simanavičienė R. and Petraitytė V. (2016) “Sensitivity Analysis of the TOPSIS Method in Respect of Initial Data Distributions”, Lithuanian Journal of Statistics, 55(1), pp. 45-51. doi: 10.15388/LJS.2016.13866.


The present article investigates the sensitivity of the multiple criteria decision-making method TOPSIS in respectof attribute probability distributions. To carry out research, initial data – attribute values – were generated according to anormal, log-normal, uniform, and beta distributions. Decision matrixes were constructed from the generated data. Byapplying the TOPSIS method to the matrixes generated, result samples were received. A statistical analysis was conductedfor the results obtained, which revealed that the distributions of the initial data comply with the distributions of the resultsreceived by the TOPSIS method. According to the most common alternative rank value, it was ascertained that the TOPSISmethod is the most sensitive for data distribution according to beta distribution, and the least sensitive for data distributionaccording to lognormal distribution.

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