Strategic Study of CAE >> 2006, Volume 8, Issue 12
Study on Rank Preservation of the MCDM With Normalizing Formula
College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
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Abstract
The application of the normalizing formula will result in violations of independence from irrelevant alternatives and lead to rank reversal. In the paper, the two methods that improve the original normalizing formula to erase the rank reversal are proposed; and a MCDM example based on the WAA operator is deduced to validate the conclusion using specific data at last. The methods mentioned can also be applied into other decision operators. The application of these methods can remove the influence of the normalizing formula to the independence from irrelevant alternatives and make the decision making more reasonable and scientific.