基于 q 阶对偶犹豫模糊施韦策-斯克拉幂型汉密尔顿均值算子的多属性决策方法。
Multi-attribute decision-making method based on q-rung orthopair probabilistic hesitant fuzzy schweizer-sklar power weighted hamy mean operator.
机构信息
Air Traffic Control and Navigation College, Air Force Engineering University, Xi'an, Shaanxi Province, China.
出版信息
PLoS One. 2023 Feb 15;18(2):e0266779. doi: 10.1371/journal.pone.0266779. eCollection 2023.
In order to further improve the computing power of the information aggregation operator in the q-rung orthopair probabilistic hesitant fuzzy environment, this paper proposes a multi-attribute decision-making method based on the q-rung orthopair probabilistic hesitant fuzzy Schweizer-Sklar power weighted Hamy mean operator. Firstly, the algorithm of q-rung orthopair probabilistic hesitant fuzzy set is improved based on the Schweizer-Sklar T-norm. In order to better reflect the degree of hesitation of decision-making experts, a new q-rung orthopair probabilistic hesitant fuzzy distance measure is proposed, which provides a basis for subsequent power weighted calculations. Furthermore, considering the correlation between attributes and the influence of data extremes, some information aggregation operators and their power weighted forms are proposed. Finally, a multi-attribute decision-making model based on the q-rung orthopair probabilistic hesitant fuzzy Schweizer-Sklar power weighted Hamy mean operator is established, and the reliability and validity of the research content in this paper are verified through decision-making examples and comparative analysis.
为了进一步提高 q-rung 对偶概率犹豫模糊环境下信息聚合算子的计算能力，本文提出了一种基于 q-rung 对偶概率犹豫模糊 Schweizer-Sklar 幂加权 Hamy 均值算子的多属性决策方法。首先，基于 Schweizer-Sklar T-范数改进了 q-rung 对偶概率犹豫模糊集的算法。为了更好地反映决策者的犹豫程度，提出了一种新的 q-rung 对偶概率犹豫模糊距离度量，为后续的幂加权计算提供了依据。此外，考虑到属性之间的相关性和数据极值的影响，提出了一些信息聚合算子及其幂加权形式。最后，建立了基于 q-rung 对偶概率犹豫模糊 Schweizer-Sklar 幂加权 Hamy 均值算子的多属性决策模型，并通过决策实例和对比分析验证了本文研究内容的可靠性和有效性。
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