A parameter analysis method for the weight-set to satisfy preference orders of alternatives in additive multi-criteria value models

In the context of the additive multi-criteria value model, this paper investigates how the set of criteria weights (weight-set hereafter) can be determined according to the preference orders of alternatives given by the decision maker. A construction method is proposed for the weight-set for different intervals of β, where β is a differential amount of value between the preference information on two alternatives. The results of this paper are important for sensitivity analysis in multi-criteria decision making problems and multi-criteria group decision analysis.