Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 56, Issue 5-6, Pages 123-132Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2011.12.022
Keywords
TOPSIS method; Rank reversal; Normalization; Absolute mode; Relative mode
Categories
Funding
- FEDER founds
- DGICYT [TIN2008-06872-C04-04, TIN2011-27696-C02-01]
- Junta de Andalucia [P07-TIC02970]
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Rank reversal is a phenomenon that occurs when a decision maker, in the process of selecting an alternative from a set of choices, is confronted with new alternatives that were not thought about when the selection process was initiated. It depends on the relationship between this new alternative and the old ones under each criterion. In this paper, we study the rank reversal phenomenon in the TOPSIS method and we propose modifications in the algorithm of Hwang and Yoon in order to solve the problem. Moreover, we present a general demonstration of the proposed modifications in the algorithm, as well as a numerical example to show these modifications. (C) 2011 Elsevier Ltd. All rights reserved.
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