基于P-犹豫模糊集与VIKOR的绿色产品设计多属性决策方法  

Multi-attribute decision making method for green product design based on P-hesitation fuzzy set and VIKOR

作　　者：鲍宏[1,2] 李红真 刘天赐 柯庆镝[1,2] 张俊国 BAO Hong;LI Hongzhen;LIU Tianci;KE Qingdi;ZHANG Junguo(Key Laboratory of Green Design and Manufacturing for Mechanical Industry,Hefei University of Technology,Hefei 230009,China;College of Mechanical Engineering,Hefei University of Technology,Hefei 230009,China)

机构地区：[1]合肥工业大学机械工业绿色设计与制造重点实验室,安徽合肥230009 [2]合肥工业大学机械工程学院,安徽合肥230009

出　　处：《计算机集成制造系统》2024年第10期3492-3501,共10页Computer Integrated Manufacturing Systems

基　　金：国家重点研发计划资助项目(2020YFB1711604);机械系统与振动国家重点实验室开放基金资助项目(MSV202114);国家自然科学基金资助项目(51505119)。

摘　　要：针对绿色产品设计属性不确定及其关联关系的复杂性问题,提出一种基于P-犹豫模糊集与多准则妥协解排序(VIKOR)法的绿色产品设计多属性决策方法。利用Pythagorean犹豫模糊数度量产品属性及其特征值得到专家初始权重;考虑绿色设计决策者及属性关联,运用λ-模糊测度、Shapley值和交叉熵得到决策者及属性关联权重;以综合最大化整体效用和最小化个体遗憾为目标,基于VIKOR法对绿色产品设计方案进行排序选择;最后通过实例分析验证方法的合理性和有效性。研究结果显示,该方法既可以综合绿色设计决策者心理,有效区分不同绿色设计方案之间的差别,又可以描述绿色设计决策者和属性间的关联关系,为绿色产品设计多属性决策提供了一种可行的方法。Aiming at the complexity and uncertainty of green product design attributes and their correlation,a multi-attribute decision-making method for green product design was proposed based on Pythagorean hesitation fuzzy set and Vlese Kriterijumska Optimizacija I Kompromisno Resenje(VIKOR).Pythagorean hesitancy fuzzy number was used to measure the initial weight of experts in product attribute evaluation.Considering the decision-maker and attribute association of green design,λ-fuzzy measure,Shapley value and cross entropy were used to obtain the weight of decision-maker and attribute association.To maximize overall utility and minimize individual regret,VIKOR method was used to prioritize green product design schemes.Finally,an example was given to verify the rationality and effectiveness of the proposed method.The result showed that the proposed method could integrate the psychology of green design decision-makers for distinguishing the differences between different green design schemes effectively,and also describe the correlation between green design decision-makers and attributes,which provided an effective approach for multi-attribute decision-making of green product design.

关 键 词：P-犹豫模糊集 VIKOR方法 绿色产品设计 多属性决策 

分 类 号：TB472[一般工业技术—工业设计]