HULZNs环境下基于语义偏好参数的多准则群决策模型  

Multi-criteria group decision-making model based on semantic preference parameter in HULZNs

作　　者：徐威 毛军军[1,2] 朱蒙蒙 李燕飞 XU Wei;MAO Junjun;ZHU Mengmeng;LI Yanfei(School of Big Data and Statistics,Anhui University,Hefei 230601,China;Key Lab.of Intelligent Computing&Signal Processing of Ministry of Education,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学大数据与统计学院,安徽合肥230601 [2]安徽大学计算智能与信号处理教育部重点实验室,安徽合肥230601

出　　处：《安徽大学学报（自然科学版）》2023年第3期27-35,共9页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金面上项目(71871001);国家自然科学基金青年项目(618006001);安徽省高等学校省级质量工程项目(2019jyxm0068)。

摘　　要：针对语义分布不平衡环境下的语义偏好和决策信息的复杂性问题,为提高决策的准确性,提出了一个新型不平衡语言尺度函数.它可通过改变语义偏好参数来调节相邻语义之间的偏差,适用于不同的决策环境,并对相关性质进行了证明.在犹豫不确定语言型Z-numbers(hesitant uncertain linguistic Z-numbers,简称HULZNs)的环境下,定义了两个HULZNs之间的距离以及部分运算,建立了优先加权平均运算算子和一种新型多准则群决策模型.最后,对提出的新模型利用实例进行了分析,验证了方法的有效性和可行性.Aiming at the complexity of semantic preference and decision-making information in the context of unbalanced semantic distribution,a new unbalanced linguistic scaling function(ULSF)was proposed to improve the accuracy of decision-making which could adjust the deviation between adjacent semantics by changing the semantic preference parameters and was suitable for different decision-making environments.Then,in the context of hesitant uncertain linguistic Z-numbers(HULZNs),the distance between two HULZNs and some operations were defined.On this basis,the priority weighted average operator and a new multi-criteria group decision-making model were established.Finally,an example was given to illustrate the effectiveness and feasibility of the proposed method.

关 键 词：犹豫不确定语言型Z-numbers 不平衡语义 语言尺度函数 信息融合 优先加权 多准则群决策 

分 类 号：O159[理学—数学]