School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China.
School of Business, Anhui University, Hefei, Anhui 230601, China.
Comput Intell Neurosci. 2018 Jun 12;2018:1404067. doi: 10.1155/2018/1404067. eCollection 2018.
This paper proposes an approach to linguistic multiple attribute decision-making problems with interactive unbalanced linguistic assessment information by unbalanced linguistic generalized Heronian mean aggregation operators. First, some generalized Heronian mean aggregation operators with unbalanced linguistic information are proposed, involving the unbalanced linguistic generalized arithmetic Heronian mean operator and the unbalanced linguistic generalized geometric Heronian mean operator. For the situation that the input arguments have different degrees of importance, the unbalanced linguistic generalized weighted arithmetic Heronian mean operator and the unbalanced linguistic generalized weighted geometric Heronian mean operator are developed. Then we investigate their properties and some particular cases. Finally, the effectiveness and universality of the developed approach are illustrated by a low-carbon tourist instance and comparison analysis. A sensitivity analysis is performed as well to test the robustness of proposed methods.
本文提出了一种通过非平衡语言广义 Heronian 均值聚合算子处理具有交互非平衡语言评价信息的语言型多属性决策问题的方法。首先，提出了一些具有非平衡语言信息的广义 Heronian 均值聚合算子，包括非平衡语言广义算术 Heronian 均值算子和非平衡语言广义几何 Heronian 均值算子。针对输入参数具有不同重要程度的情况，开发了非平衡语言广义加权算术 Heronian 均值算子和非平衡语言广义加权几何 Heronian 均值算子。然后，研究了它们的性质和一些特例。最后，通过低碳旅游实例和对比分析验证了所提出方法的有效性和通用性。还进行了敏感性分析以测试所提出方法的稳健性。
