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基于犹豫模糊定向距离的多属性决策方法

樊珊珊 张丽霞 王拥兵

安庆师范大学学报(自然科学版)2024,Vol.30Issue(2):34-40,7.
安庆师范大学学报(自然科学版)2024,Vol.30Issue(2):34-40,7.DOI:10.13757/j.cnki.cn34-1328/n.2024.02.006

基于犹豫模糊定向距离的多属性决策方法

Multi-Attribute Decision-Making Method Based on Hesitant Fuzzy Directional Distance Measures

樊珊珊 1张丽霞 1王拥兵1

作者信息

  • 1. 安庆师范大学 数理学院,安徽 安庆 246113
  • 折叠

摘要

Abstract

Hesitant fuzzy sets provide an effective means to deal with the multi-attribute decision making problems, and their distance measure is an important indicator. In order to fully consider the degree of indecision of decision makers in their assessments, a new type hesitancy index based on the difference of membership degree between elements and the number of elements in a hesitant fuzzy element is defined, and a directional distance measure-based approach for the hesitant fuzzy multi-ple attribute decision making is proposed. First, to overcome the shortcomings of the current distance measures of hesitant fuzzy sets, the hesitant fuzzy directional distance measures with a new type hesitancy index are proposed, which makes full use of the original data information for evaluation in multi-attribute decision making. Then, based on the hesitant fuzzy direc-tional distance measures, a mathematical model is given to determine the attribute weights, and the corresponding multi-attri-bute decision model is constructed. Finally, the validity and rationality of the proposed method are illustrated through a case study on gearbox supplier selection.

关键词

犹豫模糊集/多属性决策/距离测度/犹豫度/属性权重

Key words

hesitant fuzzy set/multi-attribute decision making/distance measure/hesitancy index/attribute weight

分类

数理科学

引用本文复制引用

樊珊珊,张丽霞,王拥兵..基于犹豫模糊定向距离的多属性决策方法[J].安庆师范大学学报(自然科学版),2024,30(2):34-40,7.

基金项目

安徽省高等学校科学研究重点项目(2022AH051053) (2022AH051053)

安庆师范大学学报(自然科学版)

1007-4260

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