主客观权重的组合方式及其合理性研究

Research on a Combined Method of Subjective-Objective Weighing and the Its Rationality

本文主要对主观权重和客观权重的组合方式及其合理性进行了研究。首先,在对现有主客观组合赋权方法分析的基础上提出了主客观组合赋权的组合原则及合理性判别标准;然后,对比分析了加法合成法、乘法合成法、级差最大化组合赋权法和基于客观修正主观的组合赋权方法等四种典型的主客观组合赋权方法;最后,通过实证,分析了以上四种主客观组合赋权方法计算的组合权重的合理性及其可解释性等问题。研究结果表明:基于级差最大化的组合赋权方法和基于客观修正主观组合赋权法等两种组合赋权方法是合理的。工作的主要特色有三:一是定义了主客观组合权重的合理区间概念,为组合权重的合理性判别提供了理论依据;二是从指标层面讨论了指标的组合赋权方法,组合方式更加灵活,保证了组合权重对主客观权重优点的反映;三是提出了主客观组合赋权的组合原则及合理性判别标准,为主客观权重的组合方式研究提供了新的思路。

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, ex- plainable 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 mod- el 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.