Title: Sensitivity analysis on PROMETHEE and TOPSIS weights

Authors: Tolga Genc

Addresses: Faculty of Economics and Administrative Sciences, Marmara University, Istanbul, Turkey

Abstract: The purpose of this paper is to determine the changes of the outrankings of alternatives due to the changes of weights. It is analysed that the altering of weights of PROMETHEE is how affecting the outrankings by using stability intervals. It is also tested that when the changes of weights in PROMETHEE are applied to TOPSIS weights at the same level, how the TOPSIS outranking alters. Weights are subjective factors in multi criteria decision making methods for that reason they vary in determination. When you change the weights, the outrankings of the methods alter. It will be interesting to discuss in this paper how the influence they have on the outrankings of the methods. Sensitivity analysis is performed over PROMETHEE and TOPSIS weights by using stability intervals. In this study the main focus will be stability intervals of weights and the altering of outrankings due to changing of weights. Stability intervals allow seeing at a glance in which ranges the weights of the different criteria could move without affecting the best solution.

Keywords: multicriteria decision making; MCDM; sensitivity analysis; PROMETHEE; TOPSIS; weighting; weights; stability intervals.

DOI: 10.1504/IJMDM.2014.065359

International Journal of Management and Decision Making, 2014 Vol.13 No.4, pp.403 - 421

Received: 10 Mar 2014
Accepted: 20 Jun 2014
Published online: 14 Nov 2014 *

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