Abstract:

The result of group selection is always unstable with the influence of some individual subjective factors. Thus, it is necessary to analyze the stability or reliability of the decision result by some tools. A geometric measurement method of the stability of weighted scoring rules (WSRs) which are representative group selection rules is proposed based on the inclined angle of two score vectors. Rationality and geometric interpretation of this method are elaborated in the situation that the number of candidates is three, then the computing method of the stability degree and its proof are proposed. Considering the comparability problem of stability degrees with different numbers of candidates, extended concepts and solutions of the stability degree are also discussed. The proposed stability measurement method is well visualized and commensurable. It can be an effective tool of sensitivity or stability analysis in multiobjective group decision making problems.