In AHP, I have come across random consistency index (RI) values as given by Saaty (1987).
Also, Prof. Taha, in his book Operations Research: An introduction has given a formulae for calculating RI.
Which RI should be considered and why?
Hi Mr Agarwal!
The analysis of logical consistency is elaborated according to Saaty's proposal (1977), through the determination of the Coherence Ratio (RC), whose purpose is to verify the coherence of the established judgments, starting from the equation: RC = IC / IR Where "IR" represents the Random Consistency Index for a reciprocal matrix of order "n", made with non-negative elements, in a random way (Zatta et al., 2019). For a coherence relationship to be configured, Saaty (1977) establishes that the CR assumes a value less than or equal to 0.10, otherwise the judgments must be reviewed and recalculated.
Greetings!
Alessandro is correct, however, I caution you on the use of AHP due to known issues with the methodology. Unfortunately APH does not follow the rules of axiomatic decision theory, and thus can result in inconsistent preferences and orders when options added or removed. I would recommend the use of multi-objective decision analysis either using utility or value depending on your preference.
I agree, @Nicholas Shallcross
As the AHP is a method of choices, whose preferences denote the subjectivity of the participant, it is complex to establish definitive parameters. However, a software that helps me during collections is the Expert Choice. Using this support, it is possible to identify, at the time of collection, whether the participant's opinions are pointing to contradictory trends. Thus, it is possible to coordinate the questions so as not to induce the participant to offer inconsistency in their perceptions. In this way, the researcher is able to monitor the Consistency Ratio (CR) and assess the incidence of outliers.
Thank you for your observation!
Thank you Alessandro Roberto Rocha and Nicholas Shallcross for your discussion.
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