论文标题
与Q-Rung orthopair犹豫模糊的偏好关系的团体决策
Group decision making with q-rung orthopair hesitant fuzzy preference relations
论文作者
论文摘要
本文主要研究基于Q-Rung Orthopair犹豫模糊偏好关系（Q-ROHFPR）的小组决策问题（GDM）。首先，引入了Q-RoHFPR和添加剂一致的Q-RoHFPR的定义。 Q-ROHFPR的一致性指数用于判断Q-RoHFPR的矩阵是否可以接受。对于不符合可接受一致性的Q-ROHFPR矩阵，建立了两个优化模型，以推导可接受的加性一致Q-ROHFPR。为了使决策者的Q-ROHFPR矩阵仍然满足汇总后的一致性，本文扩展了Q-Rung Orthopair犹豫模糊的加权几何平均操作员（Q-ROHFWGA）。同时，为了验证决策者在汇总后是否可以达成共识，提供了基于距离的共识索引。基于此共识索引，构建了满足一致性和共识的优化模型来解决优先级向量，并开发一种基于Q-ROHFPR的基于一致性和基于共识的方法来处理小组决策（GDM）。最后，本文中的案例验证了小组决策模型的有效性和准确性，还验证了本文提出的Q-ROHFPR一致性和共识管理模型是否可以解决Q-Rung的矫形器犹豫不决的模糊偏好小组决策问题。
This paper mainly studies group decision making (GDM) problem based on q-rung orthopair hesitant fuzzy preference relations (q-ROHFPRs). First, the definitions of q-ROHFPR and additive consistent q-ROHFPR are introduced. The consistency index of q-ROHFPR is used to judge whether the matrix of q-ROHFPR is acceptable. For the q-ROHFPR matrix that does not meet the acceptable consistency, two optimization models are established for deriving the acceptably additive consistent q-ROHFPRs. In order to make the q-ROHFPR matrix of decision makers still satisfy the consistency after aggregation, this paper extends the q-rung orthopair hesitant fuzzy weighted geometric average operator (q-ROHFWGA). At the same time, in order to verify whether decision makers can reach consensus after aggregation, a consensus index based on distance is offered. Based on this consensus index, an optimization model that satisfies consistency and consensus is constructed to solve the priority vector, and develop a consistency and consensus-based approach for dealing with group decision-making (GDM) with q-ROHFPRs. Finally, the case in this paper verifies the validity and accuracy of the group decision-making model, and also verifies that the q-ROHFPR consistency and consensus management model proposed in this paper can solve the q-rung orthopair hesitant fuzzy preference group decision-making problem.
