Abstract: 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.

Key words: Pythagorean hesitancy fuzzy set, VIKOR, green product design, multi-attribute decision

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。

关键词: P犹豫模糊集, VIKOR方法, 绿色产品设计, 多属性决策