基于直觉模糊熵的群组聚类决策方法

A group decision-making method based on intuitionistic fuzzy entropy

针对直觉模糊群决策问题,依据专家的直觉模糊评价信息,利用直觉模糊相似度和相异度构造直觉模糊相似矩阵,为了得到合理的专家聚类结果,设计风险参数并提出聚类阈值变化率分析方法,综合聚类结果和直觉模糊熵对各专家进行组合赋权。提出基于离散正态分布的位置权重确定方法,构造直觉模糊集混合加权集结算子对各专家关于方案集的直觉模糊评价信息进行综合集成。结合算例验证了方法的可行性和有效性。

Aiming at intutionistic fuzzy group decision-making problem, according to experts’ intuitionistic fuzzy evaluation information, we use intuitionistic fuzzy similarity and dissimilarity to construct the intutionistic fuzzy similarity matrix. In order to obtain reasonable expert clustering results, we design risk parameters and a clustering threshold rate analysis method. The weights of expert combinations are determined according to the classification result and the entropy of intuitionistic fuzzy vectors. We also propose a method for determining position weight based on discrete normal distribution. We construct intuitionistic fuzzy sets and mix them with weighted aggregation operators to integrate intutionistic fuzzy evaluation information of each expert on the solution set. The feasibility and effectiveness of this method is verified through examples.