Please explain the logic why we have to calculate the alternative regarding the profile and the profiles regarding alternative regarding the concordance.
whereas in discordance we check how far apart the value of each alternative on each criterion are not vice versa.
why do we calculate the global concordance only and not the global discordance.
what is the benefit of the degree of credibility in ELECTRE TRI.
Your advice guidance and support in this regard will be highly appreciated.
To answer this question didactically, I will start with ELECTRE ONE. Roy himself said in a book chapter that this method no longer has practical applications, but it is still didactic.
In ELECTRE ONE, it is necessary to calculate the concordance matrix and the discordance matrix, and from an index of concordance and an index of discordance concordance, it is possible to determine the over-ranking ratio. This is the foundation of the French Preference System.
In ELECTRE III, the hesitation zones are incorporated with fuzzy logic, and the agreement matrix is still calculated, but instead of calculating a disagreement matrix, a credibility matrix is determined, which is nothing more than the concordance matrix discounted by the relationships where there is discordance.
Instead of having an agreement and disagreement matrix, with an agreement and disagreement index (ELECTRE ONE), there is a credibility matrix, with a credibility index (ELECTRE III, IV and TRI), to determine the over-ranking relationship.
The fundamental difference between ELECTRE III and TRI-B, is that in the latter the alternatives are fixed, and called the borders.
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