基于区间粗糙数相似度的多准则群体决策方法及其应用

针对权重未知的区间粗糙数多准则群体决策问题，提出一种基于相似度最大化的群体决策方法。文章对区间数构造区间粗糙数的方法进行改进，进一步定义区间粗糙数相似度公式，并给出相应的性质；以各方案与标准方案相似度最大化及熵值最大为目标，建立多目标优化模型求解准则权重，利用区间粗糙数算子求出方案的综合决策值，进而由区间粗糙数可能度和排序向量模型获得方案的排序结果。最后，通过投资实例证明该方法是有效的、合理的。

Multi-criteria Group Decision-making Method Based on the Interval Rough Number Similarity and Its Application

For the multi-criterion group decision-making problem of interval rough number with unknown criteria weight, a group decision-making method based on the maximize similarity is proposed. Firstly, the method of constructing interval rough numbers is improved and the interval rough number similarity formula is defined where the corresponding properties are given. Secondly, a multi-objective optimization model is constructed to solve criterion weight with the maximum entropy and the similarity maximizing between each alternative and the standard alternative . Then, the comprehensive decision value of each alternative is calculated by the interval rough number operator gathering expert weights and criterion weights, and the ranking result is obtained by the interval rough probability degree and the ranking vector model. Finally, an investment decision example is given to verify the effectiveness and rationality of the method.