基于改进距离和相似度的区间值概率不确定语言决策方法  

Interval-valued probabilistic uncertain linguistic decision-making method based on improved distance and similarity

作　　者：侯琼 倪静[1] Hou Qiong;Ni Jing(Business School,University of Shanghai for Science&Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学管理学院,上海200093

出　　处：《计算机应用研究》2023年第4期1030-1036,1043,共8页Application Research of Computers

基　　金：国家教育部人文社会科学基金资助项目(19YJAZH064)。

摘　　要：针对属性值为区间值概率不确定语言术语集(interval-valued probabilistic uncertain linguistic term set, IVPULTS)、专家权重未知的多属性群决策问题,提出一种融合距离和相似度的决策方法。首先,由于现有的IVPULTS中元素的无序性导致距离测度及决策结果不唯一,利用区间优势度方法对区间值概率进行排序,从而形成有序的IVPULTS;同时考虑到现有距离测度区分能力不高,利用不确定语言距离度量方法扩充现有距离公式。其次,基于距离与相似测度存在的对偶关系,为IVPULTS定义了距离相似度公式,并利用改进的相似—信任网络分析法确定不同专家的权重。再次,设计了基于改进距离和相似—信任网络的TOPSIS决策方法(improved distance and similarity-trust network TOPSIS,IDSTN-TOPSIS),从而得到唯一且稳定的方案排序。最后,以新冠疫情下某医疗用品制造公司熔喷布弹性供应商选择为例,验证了所提方法的有效性和优越性。Aiming at the multi-attribute group decision-making problem with interval-valued probabilistic uncertain linguistic term set(IVPULTS)and unknown expert weights,this paper proposed a decision-making method combining distance and simi-larity.Firstly,it employed the interval dominance degree method to rank interval-valued probabilities to form an ordered IVPULTS since the disorder of elements in IVPULTS caused the existing distance measure and decision-making result to be non-unique.At the same time,it expanded the existing distance by using the interval linguistic term distance measuring me-thod considering the poor discriminative power.Secondly,based on the dual relationship between distance and similarity measures,this paper defined the distance similarity formula and determined the weights of different experts using the improved similarity-trust network analysis method.Next,it designed a TOPSIS decision-making method based on improved distance and simi-larity-trust network(IDSTN-TOPSIS)to obtain a unique and stable ranking of the alternatives.Finally,taking the selection of resilient suppliers of a medical supplies manufacturing company under COVID-19 as an example,experimental results verify the effectiveness and superiority of the proposed method.

关 键 词：多属性群决策 区间值概率不确定语言术语集 区间优势度 距离测度 相似—信任网络分析法 

分 类 号：C934[经济管理—管理学] TP399[自动化与计算机技术—计算机应用技术]