The structure of GEI-2019.

This study proposes a group decision making (GDM) method with preference analysis to re-build the Global Entrepreneurship Index (GEI). Specifically, a single decision maker is firstly identified using a specified individual judgement about the importance order of three sub-indices of the GEI. A preliminary group decision matrix is constructed in terms of taking all possible individual judgments into account. Then the analysis of the preferential differences and preferential priorities with respect to the preliminary group decision matrix is conducted to obtain a revised group decision matrix, in which preferential differences calculate the weighted differences as the degrees of differences among different alternatives for each decision maker, preferential priorities describe the favorite ranking of alternatives for each decision maker. Finally, we employ the Stochastic Multicriteria Acceptability Analysis for group decision-making (SMAA-2) to create the holistic acceptability indices for measuring the entrepreneurship performance. In addition, a satisfaction index is developed to indicate the merits of proposed GDM method. A case study using the GEI-2019 of 19 G20 countries is carried out to validate our GDM method.本研究提出一种结合偏好分析的群决策（Group Decision Making, GDM）方法，用于重构全球创业指数（Global Entrepreneurship Index, GEI）。具体而言，首先依据针对GEI三项子指数重要性排序的指定个体判断，识别出单个决策者；随后综合考量所有可能的个体判断，构建初步群决策矩阵；接着针对该初步群决策矩阵开展偏好差异与偏好优先级分析，以得到修正后的群决策矩阵，其中偏好差异指通过计算加权差异，表征各决策者针对不同备选方案的差异程度，偏好优先级则用于描述各决策者对备选方案的偏好排序；最后，本研究采用群决策随机多准则可接受性分析（Stochastic Multicriteria Acceptability Analysis for group decision-making, SMAA-2）生成整体可接受性指数，用以衡量创业绩效。此外，本研究还构建了满意度指数，用以表征所提出的GDM方法的优劣。最后，选取19个二十国集团成员国的2019年GEI数据开展案例研究，对所提出的GDM方法进行有效性验证。