基于后悔理论的多属性决策方法的研究

项目名称： 基于后悔理论的多属性决策方法的研究

项目编号： No.71501010

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 管理科学

项目作者： 夏梅梅

作者单位： 北京交通大学

项目金额： 15.5万元

中文摘要： 在决策中考虑人的非理性行为是目前的研究热点问题，后悔理论是描述人的非理性行为的一个重要的理论，它可以解释其他的非期望效用理论不能解释的一些现象。因此研究后悔情绪对决策结果的影响具有重要的理论和现实意义。本项目利用偏好关系矩阵和后悔值之间的关系，借助信息融合理论，深入系统的研究基于后悔理论的多属性决策方法。具体内容包括：(1) 基于阿贝尔有序群，给出从多种角度反映决策者偏好信息的后悔值的测度公式；(2) 根据后悔值的特征，给出后悔值的融合方式；(3) 在不精确信息下，给出基于后悔理论的识别最优方案的多属性决策方法；(4) 基于 Choquet 积分，给出属性之间有关联的后悔值的融合方式；(5) 给出属性之间有关联的基于后悔理论的多属性决策方法；(6) 将以上方法进行推广，从乐观角度给出识别最劣方案的决策方法。

中文关键词： 多属性决策；后悔理论；偏好关系矩阵；信息融合算子

英文摘要： The decision problem considering the irrational behavior is the hot topic currently. Regret theory is an important theory which describes the irrational behavior，it can explain some phenomenon which other non-expected utility theories can not explain. Therefore,the research about the effect of regret on decision results has an important significance both in theory and reality. Employing the relationship between regret theory and preference relations, this project utilizes information fusion theory to investigate systematically the multi-criteria decision making based on regret theory, which includes the following contents: (1) Based on Abelian linearly ordered group, this project proposes the regret measure which can reflect the preferences of decision makers from different views; (2) According to the characteristics of regret values, this project proposes the information fusion method which can aggregate the regret values; (3) Based on regret theory, this project proposes the method to identify the potential optimal alternative(s) under imprecise information; (4) Based on Choquet integral, this project gives the information fusion method to aggregate the regret values considering the interaction of criteria; (5) This project gives the multi-criteria decision making method based on regret theory which considers the interaction of the criteria. (6) This project extends all the above results to identify the potential worst alternative(s) from the perspective of optimism.

英文关键词： Multi-criteria decision making;regret theory;preference relation;information aggregation operator