摘要
针对对偶犹豫模糊环境下多属性决策问题,提出了融合犹豫度的改进距离测度及决策方法.首先,针对对偶犹豫模糊集的定义与传统距离测度公式的不足,提出了新的对偶犹豫模糊集犹豫度概念,将其融入距离测度,构建出融入犹豫度的改进距离测度;新测度从两个信息维度衡量距离偏差并通过组合系数进行优化.其次,将融入犹豫度的距离测度用于TOPSIS决策,建立对应决策算法.最后,采用航空公司服务质量评价应用案例进行距离计算、决策制定、参数分析和方法比较.结果表明,改进距离测度能有效区分方案差异;与现有方法对比,新方法通过融入犹豫度减少了信息失真,验证了其在复杂模糊决策中的合理性与实用性,解决了传统对偶犹豫模糊距离测度忽略犹豫度的问题,显著提升了多属性决策的准确性与稳定性.
Aiming at multi-atribute decision-making problems in a dual hesitant fuzzy environment,this paper proposes an improved distance measure and decision-making method that incorporates the hesitaney degree.Firstly,in response to the defciencies in the definition of dual hesitant fuzzy sets and traditional distance measure formulas,a new concept of hesitancy degree for dual hesitant fuzzy sets was introduced.This concept was integrated into the distance measure to construct an improved distance measure that incorporated the hesitancy degree.The new measure evaluated distance deviations from two information dimensions and optimized them through a combination coefficient.Furthermore,the distance measure incorporating the hesitation degree was utilized to the TOPSIS decision,and the decision algorithm was acquired.Finally,the applied example of airline service quality evaluation was adopted for distance calculation,decision making,parameter analysis and method contrast.The results show that the improved distance measure effectively distinguished between alternatives.Compared with existing methods,the new approach reduced information distortion by incorporating the hesitancy degree,and validated its rationality and practicality in complex fuzzy decision-making.This approach addresses the issue of traditional dual hesitant fuzzy distance measures neglecting the hesitancy degree,thereby enhancing the accuracy and stability of multi-attribute decision-making.
作者
徐铭麟
张贤勇
刘梦迪
莫智文
XU Minglin;ZHANG Xingong;LIU Mengdi;MO Zhiwen(School of Mathematical Sciences,Sichuan Normnal University,Chengdu 610066,China;Institute of Intelligent Infomation and Quantum Information,Sichuan Normal University,Chengdu 610066,China;College of Computer and Cyber Seeurity,Fujian Normal University,Fuzhou 350017,China)
出处
《乐山师范学院学报》
2025年第8期57-64,85,共9页
Journal of Leshan Normal University
基金
四川省自然科学基金“不完备数据背景下基于粒计算的度量构建和特征学习”(2024NSFSC0486)
四川省科技计划项目“基于不确定性的机器学习优化的数学基础研究”(2022ZYD0001)
四川省科技计划项目“基于邻域粒化层次结构的分类学习研究与智能识别应用”(2021YJ0085)
教育部人文社科项目“知识与数据双驱动的三支决策模型在智能决策中的研究”(23YJA630114)。
关键词
对偶犹豫模糊集
距离测度
犹豫度
多属性决策
TOPSIS
dual hesitant fuzzy sets
distance measure
hesitation degree
multi-attribute decision-making
TOPSIS
