The effect of the method of determination of local weights of criteria in multi-criteria analysis
Abstract
Based on the literature, the paper discusses recently developed methods of determination of spatial significance weights, related to local ranges of values, with local entropy coefficients and with locations references. Then, the principle of determination of local weights by means of the said methods was illustrated based on a developed hypothetical example. This showed that - in the case of the method related to locations reference - meeting assumptions concerning weights of criteria resulting from the utility theory requires the additional performance of normalisation of the determined local weights. Normalisation of weights in the methods leads to their different interpretation. The obtained local weights were also compared with the resulting values of alternatives depending on the selection of the method of determination of weights of criteria. The discussed methods are independent from the preferences of the decision-maker regarding the significance of particular criteria. In the case of the method based on local ranges of values and local entropy coefficients, the determined weights depend on values of attributes of particular criteria in adopted neighbourhoods. Based on the conducted analysis it was shown that weights determined by means of the method of local coefficients of entropy are particularly sensitive to attributes values. The obtained results can be helpful in making decisions regarding the selection of the method of determination of local weights.
Received 12.07.2016 Accepted 20.09.2016 Published 30.03.2017
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