一种语言直觉模糊偏好关系的群决策方法

针对语言直觉模糊偏好关系下的群决策问题，本文提出一种考虑加法一致性和群共识的决策方法。该方法主要通过局部迭代算法提高语言直觉模糊偏好关系的一致性和强化共识达成过程并尽可能地保留原始合理信息。文章提出一个转化方法将标准直觉模糊权重向量转化成加法一致的语言直觉模糊偏好关系并建立一个目标规划模型求出标准直觉模糊权重；对于加法不一致的语言直觉模糊偏好关系，提出局部迭代方法来提高一致性；建立加强的共识达成过程来帮助决策者找到满意解。为了更好地使用本文提出的决策方法，给出一个整体决策算法。最后通过一个具体的案例说明该方法是合理有效的。

A Group Decision Making Method for Linguistic Intuitive Fuzzy Preference Relations

In this paper, a decision making method considering additive consistency and group consensus is proposed to solve group decision making problems with linguistic intuitive fuzzy preference relations. For the method, local iteration algorithm is utilized to improve linguistic intuitionistic fuzzy preference relation consistency and strengthen the consensus reached process and keep the original reasonable information as much as possible. First of all, a transformation formula is proposed to convert an intuitive fuzzy weight vector into a additive consistent linguistic intuitive fuzzy preference relation and a goal programming model is designed to derive its normalized intuitive fuzzy weights. Secondly, for linguistic intuitive fuzzy preference relations with inconsistent addition, a local iteration method is proposed to improve the consistency. Then, an enhanced consensus reaching procedure is developed to help the group of decision makers find a solution which is accepted by most members in the group. In order to make better use of the decision-making method in this paper, a global decision algorithm is presented. Finally, an example is given to illustrate that the method is reasonable and effective.