基于二维二元语言信息的多属性群决策方法

Yanhao Sun, Qi Zhang, Zhi Li, Yumou Ren, Yunpeng Zhang, Zhiming Yuan
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引用次数: 1

摘要

针对权值未知的多属性群决策问题,提出了一种基于2维2元组语言信息的决策方法。首先,考虑不同维度信息的相对重要性,提出了一种新的2D2TL比较方法和距离公式;在此基础上,计算二维决策信息和各专家的熵值,得到专家权重,然后用最大偏差法求出属性权重;其次,通过确定正、负理想方案,计算各方案的前景值函数;然后,根据前景值对所有备选方案进行排序;最后通过实例验证了该方法的有效性和可靠性。
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Multi-attribute group decision making method based on 2-dimension 2-tuple linguistic information
Aiming at the multiple attribute group decision making (MAGDM) problems with unknown weights, this paper proposes a decision method based on 2-dimension 2-tuple linguistic (2D2TL) information. Firstly, considering the relative importance of different dimension information, a new 2D2TL comparison method and distance formula are proposed; On this basis, the second dimension decision-making information and the entropy of each expert are calculated to obtain the expert weight, and then the attribute weight is got by the maximum deviation method; Secondly, by determining the positive and negative ideal alternatives, the prospect value function of each alternative is calculated. Then, all alternatives are ranked by the prospect values accordingly; Eventually, an case is given to verify the proposed approach and the results show that the method is reliable and effective.
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