【摘要】 针对决策小组权重未知、方案的偏好信息以双重犹豫语言偏好关系形式给出的群决策问题,提出了一种简单决策方法.首先,为准确、全面地描述群决策过程中的不确定评估信息,定义双重犹豫语言数,并根据定义的运算法则,提出双重犹豫语言加权平均算子.其次,定义双重犹豫语言偏好关系,并利用单个决策小组对方案偏好信息得分值的标准差和其偏好信息得分值与其他决策小组偏好信息得分值的相关系数,提出一种客观确定决策小组权重的方法,进而提出一种基于双重犹豫语言偏好关系的群决策方法.同时,通过九甸峡水库运行方案选择实例说明该方法的可行性和有效性.最后,将该方法与现有方法进行比较,结果表明,所提出的方法能够直接处理双重犹豫语言偏好信息,不需要进行信息转化,从而可以减少原始决策信息的丢失更多还原

【Abstract】 A simple decision method is proposed to solve the group decision making problems in which the weights of decision organizations are unknown and the preferences for alternatives are provided by double hesitant linguistic preference relations. First, double hesitant linguistic elements are defined as representing the uncertain assessment information in the process of group decision making accurately and comprehensively, and the double hesitant linguistic weighted averaging operator is developed based on the defined operational laws for double hesitant linguistic elements. Then,double hesitant linguistic preference relations are defined and a means to objectively determine the weights of decision organizations is put forward using the standard deviation of scores of preferences provided by the individual decision organization for alternatives. Finally the correlation coefficient between the scores of preferences and the scores of preferences are provided by the other decision organizations. Accordingly,a group decision method based on double hesitant linguistic preference relations is proposed, and a practical example of the Jiudianxia reservoir operation alternative selection is used to illustrate the practicability and validity of the method.Finally, the proposed method is compared with the existing methods. Comparative results show that the proposed method can deal with the double hesitant linguistic preference information directly, does not need any information transformation, and can thus reduce the loss of original decision information.更多还原