# 111
Dear Abbas El Toufaili, Dario Pozzetto, Elio Padoano, Luca Toneatti, and Ghassan Fakhoury
I read your article
Selection of a Suitable Waste to Energy Technology for Greater Beirut Area Using the Analytic Hierarchy Process
My comments
1- In page 5 you say: “4) the consistency of each pairwise comparison matrix is checked;”
Yes, it checks the consistency in judgements from the DM, and what is it good for? You can’t assume that the values derived from the DM mind are the same as in the real word. They are not even judgements but intuition, and there is not a theorem or an axiom that supports thar assumption, very convenient indeed. I have posted many times this, curiously nobody refuted me
“6) a sensitivity analysis is eventually performed to verify the stability of the ranking.”
Not really, sensitivity analysis tests the stability of the best or selected alternative
” To choose the criteria/sub-criteria that are used in the evaluation of the alternatives, a comprehensive literature review was conducted on the WtE technologies and on solid waste and energy sectors”
If you do not have the alternatives that can be used in YOUR CASE, how can you select the criteria to evaluate them?You need criteria that are relevant to your alternatives, that can be different in other similar projects. There is not a universal set of criteria, although you can learn indeed from other projects.
“The first level presents the goal, which is the selection of a suitable WtE technology for the treatment of MSW in GBA”
So now you agree with me, wren you say that the first thing is to select that the WtE technologies or alternatives; you are contradicting yourself!
Now you are talking about the weights designed arbitrarily by a set of experts, and what happens if another set of experts disagree?
You cannot use AHP in this studybecause almost all of the 12 criteria are related, and AHP works only with independent criteria, as Saaty said it very clearly. How can you explain this?
2- You cannot use one criterion to perform sensitivity analysis and keep the other constant, because it is reasonable. This is the famous ceteris paribus, a principle rejected by most economists, with reason, because it is not congruent with reality. If you go to a doctor due to a headache, he/she will not limit to study the brain because the problems may be associated with other parts of the body. Another interesting and wrong assumption in AHP.
3- You say this: “To apply the AHP method and obtain credible preferences”
The re asl world does not work with preferences, but with facts; preferences change, facts don’t
In page 7 you have four different types of criteria, which is fine. It appears that you must have five experts, one for each type, which is reasonable.
Now, consider that the expert on Environment-health has to compare with each one on the four other experts on pair of criteria. This means that this guy must have knowledge of the other four disciplines, if not, how is he going to discuss with each specialist? I hope that you recognize that this is possible but not probable.
My question is, how two experts addressing two different disciplines can agree, when there is even disagreement between two persons discussing about something they BOTH know?
The mentioned guy most probably knows nothing about technology sophistication and vice versa. Each one will be defending about their acquiring knowledge and expertise. How can the reach an agreement about how many times is a criterion more important thins other? Hoe do they refute each other?
See the fallacy of this procedure?
4- Needless to say, the way in which sensitivity analysis in AHP and most MCDM methods is inappropriate, because you can’t use a ceteris paribus principle,’ it does not have
any mathematical support. In addition, selecting the criterion to vary with the maximum weight it does not have either any support, other than intuition.
I hope these comments may help
Nolberto Munier