中文摘要：

针对群推荐中存在的多粒度、犹豫性、模糊性语言信息问题,提出多粒度犹豫模糊语言环境下未知权重的多属性群推荐方法.首先,提出多粒度犹豫模糊语言术语集的概念,定义其距离公式;然后,在多粒度犹豫模糊语言环境下,针对属性权重完全未知的情况,建立目标规划模型,利用拉格朗日方程求解,针对属性权重不完全未知的情况,建立线性规划模型求解;最后,通过算例计算和分析表明了上述模型求解权重问题是有效的.

英文摘要：

For the problem that multi-granularity, hesitation, fuzziness exist in the linguistic information expressed by individuals, a method of group recommender systems with unknown attribute weights in a multi-granular hesitant fuzzy linguistic term environment is proposed. Firstly, the concept of multi-granular hesitant fuzzy linguistic term sets（MHFLTS） is defined. A variety of distance measures between two MHFLTSs are defined. Then, when the attribute weights are completely unknown, the objective programming model is established. The weights are obtained by using the Lagrange equation model.When attribute weights are incomplete unknown, the weights are obtained by solving a linear programming model. Finally,the movies recommendation is employed as an example to introduce the algorithm of the group recommendation, which shows the effectiveness of the proposed model in solving the group recommendation.