The uncertainty, complexity, and behavioral preference are widely existing in real-world decision-making problems. In this paper, different from the previous grey target decision method, we propose a novel grey target group decision method considering decision-maker’s loss aversion with positive and negative clouts under the dual hesitant fuzzy environment. Firstly, defining the dual hesitant fuzzy ideal optimization scheme as the positive clout and the ideal inferior scheme as the negative clout, positive and negative target-eye distances are measured by the normalized Hamming distances from the DHFEs to the positive clout and the negative clout. Then, a new comprehensive target-eye distance is proposed to evaluate alternatives between the positive and the negative clout. A nonlinear optimization model is established to obtain the optimal initial attribute weights with the goal of minimizing the comprehensive target-eye distance. Then, a grey target group decision method with dual hesitant fuzzy information considering decision-maker’s loss aversion and variable weights is proposed. Finally, a numeral example is given to verify the effectiveness and practicality of the proposed model and method.

中文翻译：

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考虑决策者损失厌恶的双犹豫模糊信息灰色目标群决策方法

不确定性、复杂性和行为偏好广泛存在于现实世界的决策问题中。在本文中，不同于以往的灰色目标决策方法，我们提出了一种新的灰色目标群决策方法，该方法考虑了双重犹豫模糊环境下决策者对正负影响的损失厌恶。首先，将双重犹豫模糊理想优化方案定义为正影响，理想劣化方案定义为负影响，正负目标眼距离由DHFE到正影响和负影响的归一化汉明距离测量。然后，提出了一种新的综合目标眼距离来评估正面和负面影响力之间的替代方案。建立非线性优化模型，以最小化综合目标眼距离为目标，获得最优初始属性权重。然后，提出了一种考虑决策者损失厌恶和可变权重的具有双重犹豫模糊信息的灰色目标群决策方法。最后，通过算例验证了所提出模型和方法的有效性和实用性。