广义q-阶正交模糊混合几何平均算子及其应用

Generalized q-rung Orthopair Fuzzy Hybrid Geometric Aggregation Operator and Its Application

本文研究广义q-阶正交模糊混合几何平均算子及其在多属性决策中的应用。基于q-阶正交模糊集的隶属度空间大于直觉模糊集与毕达哥拉斯模糊集的特点,在q-阶正交模糊环境下,将算子自身的权重与位置权重相结合,定义了广义q-阶正交模糊混合几何平均算子。提出基于广义q-阶正交模糊混合几何平均算子的多属性决策方法,并通过选取最优拍摄地实例应用了该方法,讨论了参数的不同取值对结果的影响,最后与其他算子进行对比,说明该方法的有效性和可行性。

In this paper, the generalized q-rung orthopair fuzzy hybrid geometric aggregation operator and its application in multi-attribute decision making are studied. Since the membership space of q-rung orthopair fuzzy sets is larger than those of intuitionistic fuzzy sets and Pythagorean fuzzy sets, in the q-rung orthopair fuzzy environment, the generalized q-rung orthopair fuzzy hybrid geometric aggregation operator is defined by combining the weight of the operator itself and the position weight. A multi-attribute decision-making method is proposed based on the generalized q-rung orthopair fuzzy hybrid geometric aggregation operator. This method is illustrated by selecting the most suitable location for shooting, and the influence on the final results is discussed with respect to different parameters. Compared with other operators, it is shown that the developed method is effective and feasible.