Specific character of objective methods for determining weights of criteria in MCDM problems: Entropy, CRITIC and SD

Irik Mukhametzyanov

doi:10.31181/dmame210402076i

Authors

Irik Mukhametzyanov Ufa State Petroleum Technological University, Ufa, Russia

DOI:

https://doi.org/10.31181/dmame210402076i

Keywords:

Multi-criteria decision making, weights estimation, Entropy weighting method, CRITIC method, Standard Deviation method, integrated weighting methods.

Abstract

It is carried out a comparative analysis of objective methods for determining the weights of criteria in the problems of multi-criteria decision-making. It is shown that the use of methods for determining the weights of criteria, based on formal processing of the decision matrix (Entropy, CRITIC, Standard deviation) for MCDM problems is not correct. It is demonstrated that the Entropy method is highly sensitive to valuation of probabilities of states based on the decision matrix. For the Entropy method two modifications of estimation of probability of states are proposed that partially eliminate the contradictions of the basic EWM method. The first modification (EWM-DF) is based on a statistical approach and it estimates the probabilities of states based on attribute distribution function. Another modification (EWM-dsp) estimates the probabilities of states based on the relative dispositions of attributes. The options both have supporting rationale. The analysis of integrated weighing methods is carried out and various options for aggregation of weights are given. An integrated EWM-Corr method is proposed which allows to re-allocate the weights obtained by the Entropy method among correlated criteria.

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