The process of decision-making is subject to various influence factors and environmental uncertainties, which makes decision become a very complex task. As a new type of decision processing tool, the q-rung orthopair fuzzy sets can effectively deal with complex uncertain information arising in the decision process. To this end, this study proposes a new multi-attribute decision-making algorithm based on the power Bonferroni mean operator in the context of q-rung orthopair fuzzy information. In this method, in view of multi-attribute decision-making problem of internal relationship between multiple variables and extreme evaluation value, the Bonferroni mean operator is combined with power average operator. Then, the integrated operator is introduced into the q-rung orthopair fuzzy set to develop a new q-rung orthopair power Bonferroni mean operator, and some relevant properties of this new operator are discussed. Secondly, a multi-attribute decision-making method is established based on this proposed operator. Finally, the feasibility and superiority of our method are testified via a numerical example of investment partner selection in the tourism market.

中文翻译：

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Q-阶邻对功率Bonferroni均值算子的多属性决策算法及其应用

决策过程受各种影响因素和环境不确定性的影响，使得决策成为一项非常复杂的任务。q-阶邻对模糊集作为一种新型的决策处理工具，可以有效地处理决策过程中产生的复杂不确定信息。为此，本研究提出了一种新的基于功率Bonferroni均值算子的新的多属性决策算法，该算法基于q阶正交对对模糊信息。该方法针对多变量内部关系与极值评估值之间的多属性决策问题，将Bonferroni均值算子与幂平均算子结合在一起。然后，将积分算子引入到q-阶邻对对模糊集中，以开发新的q-阶邻对对数Bonferroni均值算子，并讨论了该新运算符的一些相关属性。其次，基于该提出的算子，建立了一种多属性决策方法。最后，通过在旅游市场中选择投资伙伴的数值实例证明了我们方法的可行性和优越性。