How many experts are needed in analytical hierarchy process (AHP)?
You need to create decision matrix and normalized criteria weights through pairwise comparison matrix first.
There is no exact number of required experts in AHP. However, I would be careful in your use of the analytical hierarchy process as it has known and serious issues with preference rank reversal which change the overall priority ranking when an alternative is added or deleted from the initial set of alternatives. In axiomatic decision analysis and utility theory rank reversal in is related to the concept of irrelevant alternatives as given by the following axiom: Adding new acts (alternatives) to a decision problem under uncertainty, each of which is weakly dominated (preferred) by or is equivalent to some old act, has no effect on the optimality or non-optimality of an old act (Luce and Raiffa 1957, p. 288). In stead I would use a multi-objective value hierarchy such as the one used by Parnell, 2013. I know this does not answer your question about the Saaty matrix, but I believe the use of AHP will result in flawed or sub-optimal preferences.
If there are as many experts as you can find, more realistic preference model can be obtained.
Dear, Vinaytosh Mishra
The sample size of the experts is not as important as the quality of the information they provide, read my paper
Article Article Determinación de las Ponderaciones de los Criterios de Suste...
The extant literature on AHP applications in management and engineering indicates that there is no strict requirement on the minimum sample size for AHP analysis. Some studies used sample sizes ranging from four to nine.
Reference ( Amos Darko, Albert Ping Chuen Chan, Ernest Effah Ameyaw, Emmanuel Kingsford Owusu, Erika Pärn & David John Edwards (2019) Review of application of analytic hierarchy process (AHP) in construction, International Journal of Construction Management, 19:5, 436-452)
Satty has an article regarding this question:
Article How Many Judges Should There Be in a Group ?
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