概率不确定下考虑偏好的ELECTREⅢ方法研究及应用  

Research and Application of ELECTREⅢMethod Based on Preference in Probabilistic Uncertain Environment

作　　者：张新宇 毛军军[1] 苏元龙 ZHANG Xinyu;MAO Junjun;SU Yuanlong(School of Big Data and Statistics,Anhui University,Hefei,Anhui 230039,China)

机构地区：[1]安徽大学大数据与统计学院,安徽合肥230039

出　　处：《南华大学学报（自然科学版）》2024年第1期53-59,共7页Journal of University of South China：Science and Technology

基　　金：国家自然基金面上项目(72171002);安徽省省级研究生教育教学改革研究项目(2022jyjxggyj135)。

摘　　要：针对概率不确定语言环境下的多属性群决策问题,为了更好地反映多位专家的评价信息对于不同属性的偏好程度,创新性地构建了一个新的属性偏好关系。基于考虑专家评价信息之间的差异程度,提出了差异度的概念与计算方法。首先,对多个专家的评价信息进行汇总,通过计算不同方案之间与不同属性之间的差异度,进而获得所有专家对于每个属性的偏好程度。其次,文章研究了在概率不确定语言环境下解决多属性群决策问题的ELECTREⅢ方法,通过计算方案之间的一致性指数与不一致性指数,构造方案间的级别优先关系,从而对备选方案进行综合排序。最后,通过绿色供应链供应商选择的算例分析及概率不确定语言环境下的其他方法进行比较分析,验证了该环境下ELECTREⅢ方法的适用性与可行性。For the multi-attribute group decision making(MAGDM)problem in probabilistic uncertain language environment,in order to better reflect the preference degree of multiple experts evaluation information for different attributes,this paper innovatively constructs a new attribute preference relationship.Considering the difference degree of expert evaluation information,the concept and calculation method of difference degree are put forward.Firstly,the evaluation information of multiple experts is summarized,and the preference degree of all experts for each attribute is obtained by calculating the difference degree between different schemes and different attributes.Secondly,this paper studies the ELECTREⅢmethod of multi-attribute group decision making in probabilistic uncertain language environment.By calculating the consistency index and inconsistency index between schemes,the hierarchical priority relationship between schemes is constructed,and then the alternative schemes are comprehensively ranked.Finally,the applicability and feasibility of the ELECTREⅢmethod in the environment of probabilistic uncertain language is verified through the example analysis of supplier selection of green supply chain and the comparison analysis of other methods in the environment of probabilistic uncertainty.

关 键 词：概率不确定语言 偏好关系 差异度 ELECTREⅢ方法 

分 类 号：C934[经济管理—管理学]