基于TODIM和PROMETHEE II的概率不确定 语言双边匹配决策方法
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国家自然科学基金资助项目(71801090);教育部人文社会科学规划基金资助项目(19YJA630071);湖南省 哲学社会科学基金资助重点项目(18ZDB009);湖南省自然科学基金资助项目(2020JJ4264,2021JJ30225); 湖南省教育厅优秀青年基金资助项目(20B180)


Bilateral Matching Decision Making Method of Probabilistic Uncertain Linguistic Information Based on TODIM and PROMETHEE II
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    摘要:

    针对概率不确定语言环境下的双边匹配决策问题,提出一种基于TODIM和PROMETHEE II的双边匹配决策方法。首先,根据TODIM方法计算各方主体间的损益值,进而计算各方主体间的优势度;再将优势度作为PROMETHEE II方法中的优先函数计算各方主体的流入量、流出量和净流量;接下来根据净流量计算各方主体对另一方主体的匹配满意度。在此基础上,构建双方主体满意度之和最大化且考虑双边匹配方案公平性的多目标匹配优化模型,并通过使用线性加权方法将多目标优化模型转化为单目标优化模型,利用LINGO11.0软件包进行求解,得到公平双边匹配方案。最后,通过政企双边匹配算例分析,验证了所提出匹配决策方法的可行性和有效性。

    Abstract:

    In view of bilateral matching decision making problems in probabilistic uncertain linguistic information, a bilateral matching decision making method based on TODIM and PROMETHEE II has thus been proposed. Firstly, according to TODIM method, a calculation has been made of the profit and loss value among all parties, followed by a further calculation of the dominance among all parties. Then, the inflows, outflows and net flows of all principal parties can be calculated by using the dominance degrees as the priority functions in PROMETHEE II method. Furthermore, the matching satisfaction degree of each subject to the other subject is calculated according to the net flows. On this basis, a multi-objective matching optimization model is constructed to maximize the sum of subject satisfaction with the fairness of bilateral matching scheme taken into consideration. The multi-objective optimization model is transformed into a single objective optimization model by using linear weighting method, and a fair bilateral matching scheme is obtained by using LINGO11.0 and other software packages. Finally, the feasibility and effectiveness of the proposed matching decision method can be verified by an example of bilateral matching between governments and enterprises.

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朱远芳,汪新凡,周 浪.基于TODIM和PROMETHEE II的概率不确定 语言双边匹配决策方法[J].湖南工业大学学报,2022,36(3):84-94.

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  • 收稿日期:2021-07-24
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  • 在线发布日期: 2022-05-10
  • 出版日期: 2022-05-01