多型异构数据下准则具有优先级别的双边匹配决策方法  

Two-sided Matching Decision Making Approach under Multi-type Heterogeneous Data Considering Different Priority Levels of Criteria

作　　者：汪新凡[1] 隆丽兰 周欢 WANG Xinfan;LONG Lilan;ZHOU Huan(School of Science,Hunan University of Technology,Zhuzhou 412007,China;School of Business,Hunan University of Technology,Zhuzhou 412007,China)

机构地区：[1]湖南工业大学理学院,湖南株洲412007 [2]湖南工业大学商学院,湖南株洲412007

出　　处：《信息与控制》2023年第3期405-416,共12页Information and Control

基　　金：国家自然科学基金(71801090);教育部人文社会科学规划基金(19YJA630071);湖南省哲学社会科学基金重点项目(18ZDB009);湖南省自然科学基金(2021JJ30225,2022JJ50084);湖南省教育厅优秀青年项目(21B0553)。

摘　　要：针对多型异构数据下准则之间具有优先级别的双边匹配决策问题,提出了一种基于集对分析二元联系数和优先集结算子的双边匹配决策方法。首先,给出了一种将多型异构数据同构化为二元联系数的方法;其次,定义了二元联系数优先加权几何平均(BCNPWG)算子;然后,基于BCNPWG算子,提出了一种准则值为多型异构数据且准则之间具有优先级别的双边匹配决策方法。该方法先将多型异构数据匹配满意度矩阵转化为二元联系数匹配满意度矩阵,然后利用BCNPWG算子集结得到双方主体的综合匹配满意度矩阵;进一步地,以双方主体的综合匹配满意度总和最大为目标,构建二元联系数多目标匹配优化模型,并利用线性加权法及二元联系数的期望值和均方差将其转化为单目标匹配优化模型,进而通过求解该模型得到双边匹配结果。最后,通过一个算例说明了所提出匹配决策方法的可行性和有效性。With respect to the two-sided matching decision making problems under multi-type heterogeneous data considering different priority levels of criteria,we propose a two-sided matching decision making method based on set pair analysis binary connection number and prioritized aggregation operator.Firstly,we propose an isomorphic method to transform multi-type heterogeneous data into binary connection numbers.Secondly,we define a binary connection number prioritized weighted geometric average(BCNPWG)operator.Thirdly,based on the BCNPWG operator,we develop a method to solve the two-sided matching decision making problems,in which the criterion values are multi-type heterogeneous data and the criteria have different priority levels.In this method,the multi-type heterogeneous data matching satisfaction degree matrices are transformed into binary connection number matching satisfaction degree matrices and the binary connection number matching satisfaction degrees are aggregated by using the BCNPWG operator to obtain the comprehensive matching satisfaction degree matrices of two-sided matching subjects.Furthermore,we construct a binary connection number multi-objective matching optimization model by maximizing the sum of comprehensive matching satisfaction degrees of two-sided matching subjects.By using linear weighted method and expectations and mean square deviations of binary connection numbers,we transform this model into a single-objective matching optimization model,and obtain the two-sided matching results by solving this model.Finally,an example is given to illustrate the feasibility and effectiveness of the proposed matching decision making method.

关 键 词：双边匹配 多型异构数据 二元联系数 优先级别 优先集结算子 匹配优化模型 

分 类 号：C934[经济管理—管理学]