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论文:2018,Vol:36,Issue(4):735-741 |
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引用本文： |
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孙朋, 张骏, 曾红斌. 基于前景理论的一种犹豫模糊多属性群决策方法[J]. 西北工业大学学报 |
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Sun Peng, Zhang Jun, Zeng Hongbin. A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory[J]. Northwestern polytechnical university |
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| 基于前景理论的一种犹豫模糊多属性群决策方法 |
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| 孙朋, 张骏, 曾红斌 |
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| 西北工业大学 自动化学院, 陕西 西安 710072 |
| 摘要: |
| 针对犹豫模糊环境下属性权重未知的多属性群决策问题，建立了一种基于前景理论的犹豫模糊多属性群决策方法。根据决策者的单属性偏好函数，提出了一种改进的熵权法来确定属性权重。通过引入前景理论，将犹豫模糊决策矩阵转换为基于参考点为正负理想解的前景决策矩阵，利用方案的收益损失比代替贴合度，并依此对方案进行排序，最后验证了该方法的有效性和可行性。 |
| 关键词:
多属性群决策
前景理论
犹豫模糊集
专家权重
模糊集
决策
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| A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory |
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| Sun Peng, Zhang Jun, Zeng Hongbin |
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| School of Automation, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| To solve a multi-attribute group decision-making problem,since its attribute weight is completely unknown,based on the prospect theory,a hesitant fuzzy multi-attribute group decision making method is proposed. According to the single-attribute-preference function provided by a decision maker,an improved entropy weight method is proposed to calculate the attribute weight. The hesitant fuzzy decision-making matrix is transformed into the prospect decision-making matrix which utilizes positive and negative ideal solutions as reference points. Then alternative schemes are ranked according to the ratio of profit to loss. Finally,a numerical example is provided to verify the effectiveness and feasibility of the proposed method. |
| Key words:
multi-attribute group decision making
prospect theory
hesitant fuzzy set
expert weight
fuzzy set
decision making
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| 收稿日期: 2017-05-20
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金（61471300，61671379）资助 |
| 通讯作者:
Email： |
| 作者简介: 孙朋(1979-),西北工业大学博士研究生,主要从事系统工程、智能决策技术研究。
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| 作者相关文章 |
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| 孙朋 在本刊中的所有文章 |
| 张骏 在本刊中的所有文章 |
| 曾红斌 在本刊中的所有文章 |
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