Ordinal Multicriterion Methods
We saw in section 2.4 that the utility functions which represent the order are defined unique up to a strictly increasing transformation. We shall therefore say that a discrete multicriterion decision system is ordinal if the result it provides is invariant by strictly increasing transformation of the utilities. In other words, the result of such a method only depends on the decision maker’s preorders relative to each criterion. No change in utility function or unit, and no normalization can affect the result so long as the preorders do not vary.
KeywordsBinary Relation Social Choice Social Choice Function Condorcet Winner Strict Preference
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