基于累积前景理论的多粒度概率语言双边匹配决策方法  

Two-sided matching decision making method with multi-granular probabilistic linguistic set based on cumulative prospect theory

作　　者：王磊 李文杰[2] 王海 WANG Lei;LI Wen-jie;WANG Hai(Department of Basic Teaching,Liaoning Technical University,Huludao 125105,China;College of Science,Liaoning Technical University,Fuxin 123000,China;School of Computer Science,Nanjing Audit University,Nanjing 211815,China)

机构地区：[1]辽宁工程技术大学基础教学部,辽宁葫芦岛125105 [2]辽宁工程技术大学理学院,辽宁阜新123000 [3]南京审计大学计算机学院,南京211815

出　　处：《控制与决策》2025年第1期300-307,共8页Control and Decision

基　　金：教育部研究规划基金项目(21YJCZH204);国家自然科学基金面上项目(71971119)。

摘　　要：针对多粒度概率语言下信息丢失以及未考虑主体心理行为的双边匹配决策问题,提出基于累积前景理论的多粒度概率语言非对称正态云(MPLANC)双边匹配决策方法.首先,定义多粒度概率语言非对称正态云及其可能度,用于处理和比较多粒度概率语言信息,既简单有效又最大限度地防止原始信息丢失;然后,构建基于MPLANC双向投影的非线性优化模型和MPLANC幂HM集成算子,以获得不同主体的属性权重和正负理想参考点;接着,考虑双边主体的心理行为,利用累积前景理论构建双边主体的前景值矩阵,依据前景值最大化构建多目标优化模型来确定最优匹配结果;最后,通过服务外包匹配算例验证所提出方法的有效性和实用性,并通过灵敏度分析和对比分析,进一步验证所提出方法的灵活性和优点.The multi-granular probabilistic linguistic asymmetric normal cloud(MPLANC)two-sided matching decision making method is proposed based on cumulative prospect theory,which is to solve the two-sided matching problem with the issue of information loss in multi-granular probabilistic linguistic sets and failure to consider the psychological behavior of agents.Firstly,the MPLANC and its possibility degree are defined for solving and comparing multi-granular probabilistic linguistic information,which is both simple and effective while minimizing the loss of raw information.Meanwhile,the nonlinear optimization model based on the MPLANC bidirectional projection and the MPLANC power Heronian mean(HM)aggregation operator are constructed to obtain the attribute weights for different agents and positive and negative ideal reference points respectively.Then,the prospect value matrix of two-sided agents is developed based on the cumulative prospect theory to reflect the psychological behavior of two-sided agents.A multi-objective optimization model is constructed based on maximizing prospect values to obtain the optimal matching result.Finally,an example on service outsourcing matching is provided to verify the effectiveness and practicality of the proposed method,and the flexibility and advantages of the proposed method are further demonstrated by sensitivity analysis and comparative analysis.

关 键 词：双边匹配 多粒度概率语言术语集 非对称正态云 双向投影 幂HM集结算子 累积前景理论 

分 类 号：C934[经济管理—管理学]