q-阶正交犹豫模糊幂Muirhead平均算子及推荐应用  

q-rung Orthopair Hesitant Fuzzy Power Muirhead Mean Operators with Their Application to Recommendations

作　　者：臧誉琪 韩姗姗[2] 费晓香 ZANG Yu-qi;HAN Shan-shan;FEI Xiao-xiang(School of Public Administration,Yanshan University,Qinhuangdao 066004,China;Hebei University of Science and Technology Library,Shijiazhuang 050000,China)

机构地区：[1]燕山大学公共管理学院,河北秦皇岛066004 [2]河北科技大学图书馆,河北石家庄050000

出　　处：《模糊系统与数学》2020年第5期90-99,共10页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71971188);教育部人文社会科学青年基金资助项目(19YJCZH234);中国博士后科学基金第67批面上资助项目(2020M67091);河北省自然科学基金青年项目(G2020203012);河北省普通高等学校博士科研资助基金(B2019003023);河北省教育厅高等学校科技计划青年基金项目(SQ201031)。

摘　　要：针对兼顾关联性及整体均衡性的多属性推荐问题,考虑到q-阶正交犹豫模糊数对于模糊偏好信息的表达优势,设计一种基于q-阶正交犹豫模糊幂Muirhead平均算子的多属性推荐方法。首先,给出新的q-阶正交犹豫模糊距离测度、得分函数及精确函数;然后,联合幂平均算子和Muirhead平均算子,提出q-阶正交犹豫模糊幂Muirhead平均算子;进而,引入各属性重要程度,运用加权q-阶正交犹豫模糊幂Muirhead平均算子集结推荐偏好信息,由此获得推荐列表;最后,通过算例分析表明该多属性推荐方法的有效性和优越性。With respect to the multi-attribute recommendations in which the relationships between fused data and the interrelationships between all aggregated values are considered,and q-rung orthopair hesitant fuzzy set is a powerful tool to describe fuzziness and uncertainty.We design a multi-attribute recommendations method based on q-rung orthopair hesitant fuzzy power Muirhead mean operators.Firstly,we define the new distance measure,the score function and the accuracy function of q-rung orthopair hesitant fuzzy numbers;Then,considering the advantages of the power average operator and Muirhead mean operator,we propose the q-rung orthopair hesitant fuzzy power Muirhead mean operator;Moreover,we apply the weighted q-rung orthopair hesitant fuzzy power Muirhead mean operator to aggregate the preference information,and obtain the recommendation list;Finally,we provide a multi-attribute recommendation numerical example of to illustrate the effectiveness and superiority of the proposed method.

关 键 词：q-阶正交犹豫模糊集 幂Muirhead平均算子 多属性推荐 

分 类 号：O159[理学—数学]