基于直觉模糊相似度与灰色关联的群组决策方法及应用  

Group Decision-Making Method and Application Based on Intuitionistic Fuzzy Similarity and Gray Relation

作　　者：魏东涛 刘晓东[1] 邓建[2] WEI Dongtao;LIU Xiaodong;DENG Jian(Air Force Engineering University,College of Equipment Management and UAV Engineering,Xi’an 710051,China;College of Air Force Logistical,Xuzhou,Xuzhou 221000,China)

机构地区：[1]空军工程大学装备管理与无人机工程学院,西安710051 [2]空军勤务学院,江苏徐州221000

出　　处：《兵器装备工程学报》2021年第7期172-177,共6页Journal of Ordnance Equipment Engineering

摘　　要：针对属性权重已知、专家权重未知的多属性决策问题,提出了一种基于直觉模糊相似度与灰色关联的群决策方法。根据新的直觉模糊数距离测度构建专家评价相似矩阵,采用组间权重与直觉模糊熵对专家权重进行组合赋权,采用基于得分函数距离的灰色关联分析对备选方案排序择优,实例应用表明了该方法的有效性。A group decision-making method based on intuitionistic fuzzy similarity and Grey relation was proposed for multi-attribute decision-making problems with known attribute weights and unknown expert weights.The similarity matrix of expert evaluation was constructed according to the new intuitionistic fuzzy number distance measure,combination weighting of expert weights using between-group weights and intuitionistic fuzzy entropy.Then,the Grey correlation analysis based on the score function distance was used to rank and select the best alternatives.An example was given to illustrate the application of this method.

关 键 词：距离测度 直觉模糊熵 灰色关联度 群组决策 装备体系 

分 类 号：E911[军事]