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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 被引量:4

A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory
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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。 To known, based cording to the is proposed to pect decision- solve a muhi-attribute group decision-making problem, since its attribute weight is completely un- on the prospect theory, a hesitant fuzzy multi-attribute group decision making method is proposed. Ac- single-attribute-preference function provided by a decision maker, an improved entropy weight method calculate the attribute weight. The hesitant fuzzy decision-making matrix is transformed into the pros- 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 ef- fectiveness and feasibility of the proposed method.
作者 孙朋 张骏 曾红斌 Sun Peng;Zhang Jun;Zeng Hongbin(School of Automation,Northwestern Polytechnical University,Xi'an 710072,China)
出处 《西北工业大学学报》 EI CAS CSCD 北大核心 2018年第4期735-741,共7页 Journal of Northwestern Polytechnical University
基金 国家自然科学基金(61471300 61671379)资助
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 multi-attribute group decision making prospect theory hesitant fuzzy set expert weight fuzzy set decision making
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