关键词: 数值分布, 等级划分, 激励, 综合评价, 密度算子

Abstract: Aiming at ranks division in incentive evaluation, a rank division method based on distribution of values is suggested in this paper. Compared with current rank division method, the situation of distribution of values is involved in this method, and then based on this method this paper extends traditional density operator and presents an information aggregation method with incentive function based on distribution of values. First, a novel rank division method is given from the point of distribution of values, and then cutting point of each rank is determined. Secondly rank factors are given, and we determine the attribute weights with values, ranks factors and cutting points, and then a method determining rank weight vector which does not need normalization is given. It can solve unfairness of normalization, so the final result is gotten by aggregating value. Finally, an example is used to check the method, and the result proves the method can have incentive objects scientifically and reasonably. The method can be used for a way of an incentive to staff in company, evaluation of provinces and cities, and selection of talents in school and so on.

Key words: distribution of values, rank division, incentive, comprehensive evaluation, density operator