不确定性视角下考虑“双预期”的动态多属性决策方法

doi:10.12341/jssms21398

系统科学与数学 ›› 2023, Vol. 43 ›› Issue (2): 310-322.DOI: 10.12341/jssms21398

不确定性视角下考虑“双预期”的动态多属性决策方法

马珍珍^1,2, 邱菀华²

1. 北京物资学院物流学院, 北京 101149;
2. 北京航空航天大学经济管理学院, 北京 100191

收稿日期:2021-07-21 修回日期:2022-10-11 出版日期:2023-02-25 发布日期:2023-03-16
通讯作者: 马珍珍,Email:zhenzhen5886@163.com
基金资助:
国家自然科学基金(72204026,72074001)资助课题.

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马珍珍,邱菀华. 不确定性视角下考虑“双预期”的动态多属性决策方法[J]. 系统科学与数学, 2023, 43(2): 310-322.

MA Zhenzhen, QIU Wanhua. Double Expectation-Based Dynamic Multi-Attribute Decision-Making Method from Uncertainty Perspective[J]. Journal of Systems Science and Mathematical Sciences, 2023, 43(2): 310-322.

Double Expectation-Based Dynamic Multi-Attribute Decision-Making Method from Uncertainty Perspective

MA Zhenzhen^1,2, QIU Wanhua²

1. Logistics School, Beijing Wuzi University, Beijing 101149;
2. School of Economics and Management, Beihang University, Beijing 100191

Received:2021-07-21 Revised:2022-10-11 Online:2023-02-25 Published:2023-03-16

针对不确定环境下的多阶段、多属性决策问题,文章提出了一种不确定视角下考虑双预期目标的动态多属性决策方法.为全方位评估决策对象,从时间维度研究对象的动态发展特征,综合横向对比和纵向发展两个方面,构建了“差异化”发展状态下针对区间数的双重预期设置方法;结合决策者的心理特征、区间分布状态以及信息不确定度的影响作用,基于前景理论进行信息融合及排序.最后,以应用型高校产教融合绩效评估问题为案例背景,通过分析和方法比较验证所提方法的实用性和合理性.

关键词： 前景理论, 双预期, 信息不确定度, 动态决策, 产教融合

To solve a multi-stage and multi-attribute decision-making problem under the context of uncertainty, a dynamic multi-attribute decision-making method considering double expectation points was proposed from perspective of uncertainty. To comprehensively evaluate the performance of alternatives, the dynamic development characteristics of alternatives was considered along the time dimension. Then in view of various speeds of development status, double expected reference points were set from perspectives of horizontal comparison and vertical development of alternatives for interval numbers. In addition, through combining the influence of decision maker’s psychological characteristics, information distribution characteristics, and information uncertainty, a prospect theory-based method was constructed for information aggregation and alternatives’ ranking. Lastly, the proposed method was applied in one case which aimed to evaluate the performance of the integration of production and education (take the application-oriented university as an example). Accordingly, through the case study and method comparison, the proposed method is thereby demonstrated to be applicable and reasonable.

Key words: Prospect theory, double expected points, information uncertainty, dynamic decision making, production and education integration

MR(2010)主题分类:

90B50

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[1] Guo M, Yang J B, Chin K S, et al. Evidential reasoning approach for multi-attribute decision analysis under both fuzzy and interval uncertainty. IEEE Trans. Fuzzy Syst., 2008, 17(3):683-697.%注:英文文献期刊排版格式
[2] 曹倩, 刘小弟, 张世涛, 等. 概率信息完全未知的概率犹豫模糊多属性决策方法. 系统科学与数学, 2020, 40(7):1242-1256. (Cao Q, Liu X D, Zhang S T, et al. Probabilistic hesitant fuzzy multi-attribute decision making method with completely unknown probability information. Journal of Systems Science and Mathematical Sciences, 2020, 40(7):1242-1256.)
[3] 李美娟, 潘瑜昕, 徐林明, 等. 改进区间数动态TOPSIS评价方法. 系统科学与数学, 2021, 41(7):1891-1904. (Li M J, Pan Y X, Xu L M, et al. Improved dynamic TOPSIS evaluation method of interval numbers. Journal of Systems Science and Mathematical Sciences, 2021, 41(7):1891-1904.)
[4] Li C C, Dong Y, Liang H, et al. Data-driven method to learning personalized individual semantics to support linguistic multi-attribute decision making. Omega, 2022, 111:102642.
[5] Lin Y H, Lee P C, Chang T P, et al. Multi-attribute group decision making model under the condition of uncertain information. Automat. Constr., 2008, 17(16):792-797.
[6] Merigo J M, Casanovas M, Yang J B. Group decision making with expertons and uncertain generalized probabilistic weighted aggregation operators. Eur. J. Oper. Res., 2014, 235(1):215-224.
[7] Wang F. Preference degree of triangular fuzzy numbers and its application to multi-attribute group decision making. Expert Syst. Appl., 2021, 178:114982.
[8] 许立波, 舒振宇, 庞超逸. 基于合格值自适应后悔理论和证据理论的区间多属性决策方法. 系统科学与数学, 2019, 36(6):857-874. (Xu L B, Shu Z N, Pang C Y. Interval multi-attribute decision making method based on pass value adaptive regret theory and evidence theory. Journal of Systems Science and Mathematical Sciences, 2019, 36(6):857-874.)
[9] 郑晶, 王应明, 蓝以信. 考虑决策者心理行为的多时期应急决策方法. 系统科学与数学, 2015, 35(5):545-555. (Zheng J, Wang Y M, Lan Y X. An approach to multiperiod emergency decision-making with consideration of the decision maker's psychological behavior. Journal of Systems Science and Mathematical Sciences, 2015, 35(5):545-555.)
[10] Kahneman D, Tversky A. Prospect theory:Analysis of decision under risk. Econometrica, 1979, 47(2):263-291.
[11] Tversky K, Kahneman D. Advances in prospect theory:Cumulative representation of uncertainty. J. Risk Uncertain., 1992, 5:297-323.
[12] Bell D E. Regret in decision making under uncertainty. Oper. Res., 1982, 30:961-981.
[13] Loomes G, Sugden R. Regret theory:An alternative theory of rational choice under uncertainty. Econ. J., 1982, 92(368):805-824.
[14] Bell D E. Disappointment in decision making under uncertainty. Oper. Res., 1985, 33(1):127.
[15] Rabin M. Incorporating fairness into game theory and economics. Am. Econ. Rev., 1993, 83(5):1281-1302.
[16] 梅鑫南, 王应明. 基于前景理论和熵权法的交叉效率集结方法. 运筹与管理, 2022, 31(7):35-41. (Mei X N, Wang Y M. Cross-efficiency aggregation method based on prospect theory and entropy weight method. Operations Research and Management Science, 2022, 31(7):35-41.)
[17] Wang J, Ma X, Xu Z, et al. A three-way decision method with prospect theory to multi-attribute decision-making and its applications under hesitant fuzzy environments. Appl. Soft Comput., 2022, 126:109283.
[18] 林松, 汪军, 朱建军, 等. 考虑双重预期的云模型决策. 系统工程电子技术, 2017, 39(4):821-828. (Lin S, Wang J, Zhu J J, et al. Decision making method for cloud model considering dual aspirations. Systems Engineering and Electronics, 2017, 39(4):821-828.)
[19] Zhu J J, Ma Z Z, Wang H H, et al. Risk decision-making method using interval numbers and its application based on the prospect value with multiple reference points. Inf. Sci., 2017, 385-386:415-437.
[20] Song W, Zhu J J. A multistage risk decision making method for normal cloud model considering behavior characteristics. Appl. Soft Comput., 2019, 78:393-406.
[21] Öl\çer A I, Odabaşi A Y. A new fuzzy multiple attributive group decision making methodology and its application to propulsion/manoeuvring system selection problem. Eur. J. Oper. Res., 2005, 166(1):93-114.
[22] 盛骤, 谢式千, 潘承毅. 概率论与数理统计. 北京:高等教育出版社, 2001. (Sheng Z, Xie S Q, Pan C Y. Probability Theory and Mathematical Statistics. Beijing:Higher Education Press, 2001.)
[23] Yager R R. On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans. Systems Man Cybernet., 1988, 18(1):183-190.
[24] 姚润玲. 基于利益相关者理论的应用型本科院校产教融合绩效评价研究. 硕士论文. 哈尔滨工业大学, 哈尔滨, 2018. (Yao R L. Research on evaluation system of the applied undergraduate colleges' integration of production and education based on stakeholder theory. Master Thesis. Harbin Institute of Technology, Harbin, 2018.)
[25] 冯静, 顾雪松, 韩立岩. 我国军民融合示范区创新能力评价. 科技进步与对策, 2018, 35(23):146-154. (Feng J, Gu X S, Han L Y. Research on the evaluation of innovation capability of military and civilian integration demonstration area in China. Science & Technology Progress and Policy, 2018, 35(23):146-154.)

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