The Journal of Grey System ›› 2021, Vol. 33 ›› Issue (3): 130-149.

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Method for Robust Multiple Criteria Decision Making Based on Grey Relational and Information Extension

  

  • Online:2021-09-01 Published:2021-10-29

Abstract:

Several multiple criteria decision making(MCDM) techniques have been used to assist decision-makers (DMs) in selecting better alternatives for various problems. However, it has been observed that with the addition of new alternatives or the deletion of existing ones, the rank of available alternatives will present a problem referred to as rank reversal. An improved grey relational analysis method is proposed in which the information expansion method and virtual ideal scheme are used to prevent changes of extreme value in standardization when there are alterations in the alternative set. These are the main reasons for rank reversal. When comparing literature on results from case studies and simulated cases, it is clear that the new method can maintain a robust rank of alternatives. This indicates that the proposed method is capable of preventing the rank reversal phenomenon, which arises out of changes in available alternatives.

Key words: Grey Relational, Information Extension, MCDM, Rank Reversal