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Picture模糊数的改进得分函数在多属性群决策中的应用

吴孝宇 郑婷婷 刘钧歌 孟伟伟

安徽大学学报(自然科学版)2024,Vol.48Issue(3):15-24,10.
安徽大学学报(自然科学版)2024,Vol.48Issue(3):15-24,10.DOI:10.3969/j.issn.1000-2162.2024.03.003

Picture模糊数的改进得分函数在多属性群决策中的应用

Application of improved score function of picture fuzzy numbers in multi-attribute group decision-making

吴孝宇 1郑婷婷 1刘钧歌 1孟伟伟1

作者信息

  • 1. 安徽大学 数学科学学院,安徽 合肥 230601
  • 折叠

摘要

Abstract

The multi-attribute group decision-making problem with unknown experts and attribute weight information in picture fuzzy environment was explored in this paper.Firstly,a new score function of picture fuzzy numbers was proposed to solve the shortcomings of the existing score functions.We analyzed its relevant properties and compared it with the existing ones.It showed that it is more reasonable and can deal with fuzzy decision information better.Secondly,a multi-attribute group decision-making method based on the new score function was proposed in picture fuzzy environment.According to the inaccuracy of picture fuzzy evaluation information given by each expert and the difference of information given by different experts,the weights of decision makers were obtained from both individual and group perspectives.The new score function was used to construct the grey target contribution degrees of different attributes to determine the attribute weights.Finally,the feasibility and effectiveness of the proposed method were verified by comparison and analysis of examples.

关键词

picture模糊集/picture模糊数/得分函数/多属性群决策

Key words

picture fuzzy set/picture fuzzy number/score function/multi-attribute group decision-making

分类

数理科学

引用本文复制引用

吴孝宇,郑婷婷,刘钧歌,孟伟伟..Picture模糊数的改进得分函数在多属性群决策中的应用[J].安徽大学学报(自然科学版),2024,48(3):15-24,10.

基金项目

国家自然科学基金资助项目(61806001) (61806001)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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