考虑信任关系的Pythagorean模糊多属性群决策方法  

Pythagorean Fuzzy Multi-attribute Group Decision-making MethodConsidering Trust Relationships

作　　者：黄俊杰 陈刚[1,2] 付江月[1] HUANG Jun-jie;CHEN Gang;FU Jiang-yue(School of Management,Guizhou University,Guiyang 550025,China;Karst Area Development Strategy Research Center,Guizhou University,Guiyang 550025,China)

机构地区：[1]贵州大学管理学院,贵阳550025 [2]贵州大学喀斯特地区发展战略研究中心,贵阳550025

出　　处：《科学技术与工程》2024年第34期14522-14530,共9页Science Technology and Engineering

基　　金：国家自然科学基金(71761006,72261006);贵州省教育科学规划项目(2022B017);贵州大学人文社会科学青年项目(GDQN2023007)。

摘　　要：针对社会网络中专家给出的属性值为Pythagorean模糊数且专家权重未知的多属性群决策问题进行研究,提出了一种考虑信任关系的多属性群决策方法。首先,绘制专家的社会网络图,根据点度中心度和接近中心度计算得到专家的综合权重;其次,利用Pythagorean模糊加权平均算子集结得到群决策矩阵,计算属性值、方案和决策者3个层面的共识水平;再次,提出基于信任的反馈机制对不满足共识阈值的初始信息进行调整;最后,基于罗马尼亚选择法和群体得分矩阵计算各备选方案的综合得分值,并据此对方案进行排序。案例分析表明,该方法考虑了决策者的信任关系,优化了社会网络环境下的群决策共识达成过程,能达到满意的群体共识水平,最大程度地保留了决策者的初始判断信息,具有一定的可行性和有效性。To solve the multi-attribute group decision-making problem with Pythagorean fuzzy number as attribute value and unknown expert weights in social networks,a solution considered trust relationships was proposed.Firstly,the comprehensive weights of experts were calculated based on point degree centrality and proximity centrality after the experts social network graph was charted.Secondly,the group decision matrix was obtained using the Pythagorean fuzzy weighted average operator,and the consensus levels of attribute values,options,and decision-makers were computed.Thirdly,a trust-based feedback mechanism was proposed to adjust the initial information that does not meet the threshold of consensus level.Finally,the comprehensive score values of each alternative were calculated using the Romanian selection method and the group score matrix,after which the alternatives were ranked.A numerical example shows that this method is feasible and effective,as it considers the trust relationships of decision-makers,optimizes the consensus process in group decision-making within social network environments,achieves a satisfactory level of group consensus,and preserves the initial judgment information of decision-makers to the greatest extent.

关 键 词：群决策 信任关系 社会网络 共识水平 反馈机制 

分 类 号：O224[理学—运筹学与控制论]