An extension of Majority Judgment to non-uniform qualitative scales
针对个体评价使用有序定性量表的社会选择问题，将多数判决框架扩展到非均匀有序定性量表，通过序数邻近度度量构建弱序，并基于序数均值比较来对备选方案进行排序。
We consider the context of social choice in which individual evaluations of the alternatives are expressed over an ordered qualitative scale. We propose to extend the framework of Majority Judgment to the case of non-uniform ordered qualitative scales, described by an ordinal proximity measure. The central construct in our model is a weak order defined over multisets of ordinal proximity degrees. On the basis of this weak order, each alternative profile is represented by an ordinal mean which balances the multisets of ordinal proximity degrees associated with the upper and lower ordinal evaluations. The procedure for ranking the alternative profiles consists primarily in comparing means, plus a tie-breaking scheme in which the weak order plays once more an important role.