TOPSIS法权重的选取：几种赋权方法的对比

Selection of TOPSIS Method Weights: Comparison of Several Weighting Methods

摘要: 现如今，在多目标决策中，如何确定最优方法是一个非常复杂的决策性难题，现阶段普遍采用的决策方案存在主观程度高、权重分配不科学、决策结果不稳定等缺陷。在此背景下，本文以实际调查“浙江省大学生状态转变的探究”为例，在构建选择评价指标体系的基础上，通过熵权法、AHP法和主客观结合的组合赋权法这三种不同的赋权方法计算出具体权重，再分析其不同状态指数下的差异性，对三种方法进行综合比较，最后通过计算，用不同赋权方法所计算出权重变化值，验证三种方法确定权重的有效性、可行性，以其说明运用TOPSIS法权重赋权的重要性。

Abstract: Nowadays, in multi-objective decision-making, how to determine the optimal method is a very complicated decision-making problem. The decision-making schemes commonly used at this stage have defects such as high degree of subjectivity, unscientific weight distribution, and unstable decision-making results. In this context, this article takes the actual investigation “Exploration of the state transition of college students in Zhejiang Province” as an example. Based on the construction of the selection evaluation index system, the specific weights are calculated through three different weighting methods: the entropy weight method, the AHP method and a combination of subjective and objective weighting method. Further analyze the differences under different state indices, and comprehensively compare the three methods. Finally, through calculation, use the weight change values calculated by different weighting methods to verify the effectiveness and feasibility of the three methods in determining weights, in order to demonstrate the importance of using TOPSIS method for weight weighting.