- The entropy of the attributes of alternatives for each criterion is a measure of the significance of this criterion. It is believed that the lower the entropy of the criterion, the more valuable information the criterion contains.
- Criteria Importance Through Inter-criteria Correlation (CRITIC). In the CRITIC method, the standard deviation is a measure of the significance of this criterion.
Dear Mina
It is interesting your statement, but where is the demonstration. In the article, you mention there is only a curve and bibliography
What is the meaning of formal processing of the decision matrix?
By the way Mina
Entropy is not really a weight.
Weight, as is understood in MCDM, is a measure of the importance of a criterion, normally obtained subjectively, and thus, without any mathematical support, only 'imagination'. If normalized it is in reality a trade-off.
Entropy is a measure of information, measured in bits, not based on the criteria themselves, but on the attributes of each one.
You can't use weights to evaluate alternatives, because they don't have any relationship with them.
Entropy can evaluate alternatives because it is based on discrimination of each criteria value, and has solid mathematical support (Shannon theorem)
Dear Thanh-Tuan Dang,
I suggest you see links on the topic.
Article A New Determining Method for the Criteria Weights in multicr...
Article Determination of Objective Weights Using a New Method Based ...
https://www.dmame.rabek.org/index.php/dmame/article/view/194
https://www.jiem.org/index.php/jiem/article/view/899/536
Best regards
Suggest reviewing this paper for MCDM methods:
https://www.sciencedirect.com/science/article/abs/pii/S092583881732827X