针对犹豫模糊环境下的群决策问题，引入犹豫模糊偏好关系的概念，提出犹豫模糊偏好关系加性一致性、乘性一致性和有序一致性定义，建立基于犹豫模糊偏好关系加性一致性和乘性一致性的决策方案优先关系排序方法。该方法对一致性犹豫模糊偏好关系进行有效修复，使修复后的犹豫模糊偏好关系满足加性一致性和乘性一致性，进而构建最优化模型求解方案优先权重。决策过程尽可能多地保留决策者的偏好信息，简化模型复杂度，拓展犹豫模糊理论的应用范围。通过影响雾霾天气的因素实验验证文中决策方法的可行性和有效性。%Aiming at group decision making problems under hesitant fuzzy environment, the concept of hesitant fuzzy preference relation is introduced. The additive consistency, multiplicative consistency and order consistency of the hesitant fuzzy preference relations are defined. A decision-making method of ranking alternative method is established based on the additive consistency and multiplicative consistency to obtain the priority weights. The consistency of hesitant fuzzy preference relations is improved effectively by the proposed method, and thus the improved preference relations can satisfy the need of additive consistency and multiplicative consistency. The optimization models are further developed to get the priority weight vector of the alternatives. Meanwhile, the preference information of the decision maker is retained in the decision process as much as possible, and the model is simplified. Therefore, the application of the hesitant fuzzy theory is greatly extended. The practicability and the effectiveness of the proposed method are verified through the experiment of affecting factors of fog-haze weather.
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