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
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)