井冈山大学学报（自然科学版）2025，Vol.46Issue(1)：14-21,8.DOI:10.3969/j.issn.1674-8085.2025.01.003
基于区间直觉模糊的多属性决策模型及应用研究
MULTI-ATTRIBUTE DECISION-MAKING MODEL BASED ON INTERVAL-VALUED INTUITIONISTIC FUZZY AND ITS APPLICATION
摘要
Abstract
It has become difficult to represent expert evaluation information in multi-attribute decision-making problems with precise values.As a result,interval intuitionistic fuzzy multi-attribute decision models have garnered growing attention from researchers.In these models,two critical steps are measuring the similarity between two interval intuitionistic fuzzy number vectors and determining the attribute weights.The main contributions of this study include:(1)In response to the limitations of the classical projection measure formula,a new generalized normalized projection measure formula is proposed,which provides a more accurate assessment of the similarity between two interval intuitionistic fuzzy number vectors;(2)Based on interval intuitionistic fuzzy evaluation information,the projection measure formula presented in this paper is used to extend the TOPSIS method,thereby constructing a new multi-attribute decision model;(3)In cases where the evaluation attribute weights are unknown,an optimization model is developed based on the principle of maximizing the differentiation of evaluation indicators across alternatives,resulting in an objective method for determining the attribute weights.Finally,the proposed model is applied to a real-world case,and through comparative analysis,its feasibility and effectiveness are validated.关键词
多属性决策模型/标准化投影/区间直觉模糊数/TOPSIS方法/属性权重Key words
multi-attribute decision-making model/normalised projection/interval-valued intuitionistic fuzzy number/TOPSIS method/attribute weights分类
数学引用本文复制引用
谢小军,马虹,薛申芳,骆旗..基于区间直觉模糊的多属性决策模型及应用研究[J].井冈山大学学报（自然科学版）,2025,46(1):14-21,8.基金项目
国家自然科学基金项目(61572016) （61572016）
广东省 2022 年度普通高校重点科研平台和项目(2022ZDZX1037) （2022ZDZX1037）
