Abstract:

The main purpose of this paper is to evaluate the combined method of Subjective-Objective Weighing and its rationality. First, we analyze the combined method and the principle of combining the two factors, and on this basis, we set the criteria for a feasible, explainable and distinctive combination. Second, we build up an optimized model for this combined method to maximize the deviations, point out a scientific range of indicators by the combined method under its model and explain the applicability of the method and the model into studying indicators. Third, we propose a combing model of revising subjective weighing method through an objective way. By doing so, we take advantage of the objective weighing to make up for the disadvantages of objective weighing while integrating and maintaining the advantages of both, which is a challenge to the traditional way of relying on objective methods only. Through comparing and analyzing such four subjective weighing methods as the maximized-deviation-based weighing, G1 revised by standard deviation, addition as well as multiplication, the study proves that the two combined methods that this paper focuses on are more explainable and distinctive.

Key words: combined subjective-objective weighting, rationality of combined weighting, level difference maximization, subjectivity revised by objectivity