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考虑基于风险态度的满意度和公平度的犹豫模糊双边匹配行为决策方法

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鉴于双边匹配决策中大部分主体越来越趋于有限理性的情形,考虑匹配主体对风险的态度,提出一种基于TODIM的双边满意度与公平度相结合的匹配方法.首先,对犹豫模糊偏好信息下的双边匹配问题进行描述;然后,依据TODIM法计算每个主体的总体优势度均值,再将总体优势度均值规范化处理,并考虑双方主体不同风险态度,求得双边主体的满意度和公平度;进而建立包含单边主体满意度、双边主体满意度和公平度的多个匹配优化模型;对模型进行求解,得到最佳匹配方案,并与其他方法进行对比;最后,通过一个算例验证本方法的可行性.文章创新之处主要有:1)提出一种考虑TODIM思想和风险态度的满意度计算方法;2)提出一种考虑TODIM思想和风险态度的公平度计算方法;3)将单边主体满意度、双边主体满意度以及公平度进行结合,建立多个不同匹配模型.
A Hesitant Fuzzy Bilateral Matching Behavior Decision-Making Method Based on the Satisfaction and Fairness Considering Risk Attitudes
In view of the fact that most subjects in bilateral matching decision-making tend to be more and more bounded rationality,a matching method based on TODIM combining the bilateral satisfaction and fairness is proposed considering the risk attitude of matching subjects.First,the bilateral matching problem with hesitant fuzzy preference information is described.Second,the average of the overall dominance of each subject is calculated according to TODIM method and then is normalized;Based on this,the different risk attitudes of both parties are considered to obtain the satisfaction and fairness of bilateral subjects.Then,multiple matching optimization models including unilateral subject satisfaction,bilateral subject satis-faction and fairness are established.The best matching scheme can be obtained by solving these models and compared with other methods.Finally,a numerical example is given to verify the feasibility of the presented method.The main innovations of this paper are as follows:1)A satisfaction calculation method considering the TODIM idea and risk attitude is proposed;2)A fair degree calculation method considering the TODIM idea and risk attitude is proposed;3)Several different matching models are established by combining the satisfaction of unilateral subjects,satisfaction of bilateral subjects and fairness.

Bilateral matching behavior decision-makinghesitant fuzzy numbersatisfactionfairnessmatching model

刘烈璋、陶媛、乐琦

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上海工程技术大学管理学院,上海 201620

双边匹配行为决策 犹豫模糊数 满意度 公平度 匹配模型

国家自然科学基金项目国家自然科学基金项目

7237115371861015

2024

系统科学与数学
中国科学院数学与系统科学研究院

系统科学与数学

CSTPCD北大核心
影响因子:0.425
ISSN:1000-0577
年,卷(期):2024.44(7)
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