摘要
结合梯形模糊语言集和犹豫模糊集,提出犹豫梯形模糊语言集的概念。首先,给出犹豫梯形模糊语言的运算法则,探讨犹豫梯形模糊语言加权平均(HTrFLWA)算子和犹豫梯形模糊语言加权几何(HTrFLWG)算子,并讨论了其相应的运算定理。其次,构建犹豫梯形模糊语言的得分函数,并给出犹豫梯形模糊语言的排序方法。最后,提出了基于HTrFLWA算子和HTrFLWG算子的犹豫梯形模糊语言多属性决策方法,并通过实例验证。
Combining hesitant fuzzy sets and trapezoid fuzzy linguistic variables,we provide the hesitant trapezoid fuzzy linguistic set.First,the algorithm of hesitant trapezoid fuzzy linguistic set is proposed,and hesitant trapezoid fuzzy linguistic weighted average(HTrFLWA)operator and hesitant trapezoid fuzzy linguistic weighted geometric(HTrFLWG)operator are defined.Secondly,the score function of hesitant trapezoid fuzzy linguistic set is defined,and the sorting method is given correspondingly.Furthermore,an approach based on the HTrFLWA operator and HTrFLWG operator is proposed for multiple attribute decision making problems under hesitant trapezoid fuzzy linguistic set environment.Finally,a numerical example is given to illustrate the application of the proposed approach.
作者
于倩
李旭东
曹俊
吕奇光
赵方苏
李龙晓
谭玲
YU Qian;LI Xu-dong;CAO Jun;LV Qi-guang;ZHAO Fang-su;LI Long-xiao;TAN Ling(School of Business and Administration,Chongqing University of Science&Technology,Chongqing,401331;Chongqing JiaoTong University,School of Economic and Management)
出处
《模糊系统与数学》
北大核心
2024年第2期113-123,共11页
Fuzzy Systems and Mathematics
关键词
犹豫梯形模糊语言集
得分函数
集成算子
多属性决策
Hesitant trapezoid fuzzy linguistic set
Score function
Aggregation operators
Multiple attribute decision making
