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:2019,28(9):33-40
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基于前景理论和证据推理的区间灰数多属性决策
(福州大学 经济与管理学院, 福州 350108)
Multi-Attribute Decision-Making Method of Interval Grey Number Based on Prospect Theory and Evidential Reasoning
(School of Economics and Management, Fuzhou University, Fuzhou 350108, China)
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投稿时间:2019-02-27    修订日期:2019-03-15
中文摘要: 针对不确定背景下的多属性决策问题,提出基于前景理论和证据推理的区间灰数多属性决策方法.首先,考虑区间灰数在区间内取值概率不相等的特性,提出一种改进的区间灰数距离公式,在此基础上,以方案的正负理想解为参考点,计算属性值与正负理想解之间的距离集.其次,将决策者的风险心理因素引入区间灰数多属性决策中,结合前景理论构建基于区间灰数距离的前景价值函数.再次,通过证据推理算法和区间数可能度大小比较规则对方案做出排序.最后,通过算例分析验证所提方法的有效性.
Abstract:In terms of the problem of Multi-Attribute Decision-Making (MADM) under the uncertain background, the interval grey number MADM method based on the prospect theory and Evidential Reasoning (ER) is put forward. Firstly, considering the property of interval grey number, an improved distance formula of interval grey number is developed. On this basis, taking the positive and negative ideal solutions as the reference point, the distance set between the attribute value and the positive and negative ideal solution is calculated. Secondly, the decision makers’ psychological risk factors are introduced into the interval grey number MADM to develop a prospect value function based on the improved distance formula. Thirdly, the alternatives are selected by ER and the comparison rule of interval numbers. Finally, an illustrative example shows that the proposed method has rationality and feasibility.
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基金项目:国家自然科学基金(61773123)
引用文本:
熊宁欣,王应明.基于前景理论和证据推理的区间灰数多属性决策.计算机系统应用,2019,28(9):33-40
XIONG Ning-Xin,WANG Ying-Ming.Multi-Attribute Decision-Making Method of Interval Grey Number Based on Prospect Theory and Evidential Reasoning.COMPUTER SYSTEMS APPLICATIONS,2019,28(9):33-40

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