基于Pythagorean模糊熵的风险型决策方法——考虑后悔与失望规避

doi:10.12005/orms.2020.0153

运筹与管理 ›› 2020, Vol. 29 ›› Issue (6): 130-138.DOI: 10.12005/orms.2020.0153

基于Pythagorean模糊熵的风险型决策方法——考虑后悔与失望规避

李娜^1,2, 高雷阜¹, 王磊²

1.辽宁工程技术大学运筹与优化研究院,辽宁阜新 123000;
2.辽宁工程技术大学基础教学部,辽宁葫芦岛 125105

收稿日期:2019-02-18 出版日期:2020-06-25
作者简介:李娜(1980-),女,辽宁大石桥人,讲师,博士研究生,研究方向:不确定性决策理论与方法,随机优化;高雷阜(1963-),男,辽宁阜新人,教授,博士生导师,研究方向:最优化理论与方法,混沌动力系统预测,供应链网络优化;王磊(1978-),男,黑龙江鸡西人,副教授,博士,研究方向:不确定性决策理论与方法,模糊微分系统。
基金资助:
辽宁省教育厅科学研究经费项目( LJ2019QL014 );辽宁省教育厅辽宁省高等学校基本科研项目(LJ2017QL031);辽宁省博士启动基金(20170520075)

Risky Multiple Attribute Decision Making Based on Pythagorean Fuzzy Entropy ——with Regret Aversion and Disappointment Aversion

LI Na^1,2, GAO Lei-fu¹, WANG Lei²

1. Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin 123000;
2. Department of Basic Teaching, Liaoning Technical University, Huludao, 125105

Received:2019-02-18 Online:2020-06-25

摘要/Abstract

摘要： 针对决策信息为Pythagorean模糊数,属性权重完全未知的风险型多属性决策问题,提出了一种基于Pythagorean模糊熵的考虑决策者后悔与失望规避心理行为的决策方法。首先,计算备选方案和理想点各属性的效用值,从而获得各备选方案的后悔-欣喜值、失望-愉悦值及感知效用值。其次,构建了一种Pythagorean模糊熵,并给出基于该Pythagorean模糊熵的属性权重确定方法,利用属性权重加权求和获得备选方案综合感知效用值,从而对方案进行排序。最后,通过算例说明方法的可行性和优点,并分析了后悔规避系数δ和失望规避系数τ对决策结果的影响。

关键词: 多属性决策, Pythagorean模糊熵, 后悔规避, 失望规避

Abstract: For the problem of risky multiple attribute decision making, in which the attribute values are the Pythagorean fuzzy numbers and the information about criteria weights is completely unknown, a decision making method is proposed with regret aversion and disappointment aversion based on Pythagorean fuzzy entropy. Firstly, regret-rejoice value, disappointment-elation value and perceived utility value of alternatives are obtained by the utility value of each attribute for alternatives and the ideal alternative. Secondly, a kind of technique for constructing Pythagorean fuzzy entropy is proposed, and a method is developed based on the proposed entropy values to obtain unknown attribute weight. Furthermore, overall utility values of alternatives are calculated with weighted sum method and a ranking of alternatives can be determined by using the overall utility values. Finally, a numerical example is given to verify the effectiveness and advantage of the proposed method, and the influence of different regret aversion parameters and disappointment?aversion parameters on decision making is analyzed.

Key words: multiple attribute decision making, Pythagorean fuzzy entropy, regret aversion, disappointment aversion

中图分类号:

C934

李娜, 高雷阜, 王磊. 基于Pythagorean模糊熵的风险型决策方法——考虑后悔与失望规避[J]. 运筹与管理, 2020, 29(6): 130-138.

LI Na, GAO Lei-fu, WANG Lei. Risky Multiple Attribute Decision Making Based on Pythagorean Fuzzy Entropy ——with Regret Aversion and Disappointment Aversion[J]. Operations Research and Management Science, 2020, 29(6): 130-138.

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基于Pythagorean模糊熵的风险型决策方法——考虑后悔与失望规避

Risky Multiple Attribute Decision Making Based on Pythagorean Fuzzy Entropy ——with Regret Aversion and Disappointment Aversion

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