| 基于Pythagorean模糊熵的风险型决策方法——考虑后悔与失望规避 |
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| 引用本文： | 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. |
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| 作者姓名： | 李娜 高雷阜 王磊 |
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| 作者单位： | 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 |
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| 基金项目： | 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) |
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| 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。
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| 关 键 词： | 多属性决策 Pythagorean模糊熵 后悔规避 失望规避 |
| 收稿时间： | 2019-02-18 |
Risky Multiple Attribute Decision Making Based on Pythagorean Fuzzy Entropy ——with Regret Aversion and Disappointment Aversion |
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| 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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| Authors: | LI Na GAO Lei-fu WANG Lei |
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| Affiliation: | 1. Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin 123000;2. Department of Basic Teaching, Liaoning Technical University, Huludao, 125105 |
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| 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. |
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| Keywords: | multiple attribute decision making Pythagorean fuzzy entropy regret aversion disappointment aversion |
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