犹豫梯形模糊语言算子多属性决策方法

Multiple attribute decision making method based on hesitanttrapezoid fuzzy linguistic aggregation operators

于倩 ¹李旭东 ²曹俊 ¹吕奇光 ¹赵方苏 ¹李龙晓 ¹谭玲¹

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作者信息

1. 重庆科技学院工商管理学院重庆 401331
2. 重庆交通大学经济与管理学院重庆 400074;重庆科技学院工商管理学院重庆 401331
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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.

Abstract

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 lin-guistic set environment.Finally,a numerical example is given to illustrate the application of the proposed approach.

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

Key words

Hesitant trapezoid fuzzy linguistic set/Score function/Aggregation operators/Multiple attribute decision mak-ing

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出版年

2024

模糊系统与数学

国防科技大学理学院

模糊系统与数学

CSTPCD北大核心

影响因子：0.42

ISSN：1001-7402

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