Kou Yaqing, Feng Xue, Wang Jun
School of Economics and Management, Beijing Jiaotong University, Beijing 100044, China.
School of Economics and Management, Beijing University of Chemical Technology, Beijing 100029, China.
Entropy (Basel). 2021 Oct 11;23(10):1322. doi: 10.3390/e23101322.
In this paper, a new multiple attribute decision-making (MADM) method under q-rung dual hesitant fuzzy environment from the perspective of aggregation operators is proposed. First, some aggregation operators are proposed for fusing q-rung dual hesitant fuzzy sets (q-RDHFSs). Afterwards, we present properties and some desirable special cases of the new operators. Second, a new entropy measure for q-RDHFSs is developed, which defines a method to calculate the weight information of aggregated q-rung dual hesitant fuzzy elements. Third, a novel MADM method is introduced to deal with decision-making problems under q-RDHFSs environment, wherein weight information is completely unknown. Finally, we present numerical example to show the effectiveness and performance of the new method. Additionally, comparative analysis is conducted to prove the superiorities of our new MADM method. This study mainly contributes to a novel method, which can help decision makes select optimal alternatives when dealing with practical MADM problems.
本文从聚合算子的角度出发,提出了一种q阶对偶犹豫模糊环境下的多属性决策(MADM)新方法。首先,提出了一些用于融合q阶对偶犹豫模糊集(q-RDHFSs)的聚合算子。随后,给出了新算子的性质和一些理想的特殊情况。其次,开发了一种新的q-RDHFSs熵测度,它定义了一种计算聚合后的q阶对偶犹豫模糊元素权重信息的方法。第三,引入了一种新颖的MADM方法来处理q-RDHFSs环境下权重信息完全未知的决策问题。最后,给出数值算例以说明新方法的有效性和性能。此外,进行了对比分析以证明我们新的MADM方法的优越性。本研究主要贡献在于提出了一种新颖的方法,该方法可帮助决策者在处理实际MADM问题时选择最优方案。