模糊多属性决策方法在绿色材料选择中的应用

摘要

To solve the multi-objective optimization problem of materials selection in green design,a fuzzy multi-attribute decision-making method is presented which combines improved grey incidence analysis and Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS). The method unifies materials selection and recycling methods to form a combination series,analyzes the whole impact of materials' life cycle quantitatively by zoology index method,figures out the Integration Close Degree (ICD)so that determines the optimal combination series according to ICD deriving from the Similarity Close Degree (SCD) with improved grey incidence analysis, the Distance Close Degree (DCD) with technique for order preference by similarity to TOPSIS, the nonlinear programming model based on the concept of the minimum bias between the SCD and ICD and between it and DCD. Finally, an illustrative example is given to demonstrate the whole process of decision-making and verify the advantages in comparison with the other methods of decision-making.%为解决绿色设计中材料选择的多目标优化问题,提出一种由改进相似性灰色关联度和理想解法相结合的模糊多属性决策方法.该方法将材料的选择和回收处理的方法结合起来组成组合系列,采用生态指数定量分析评估材料及其过程的全生命周期环境影响,基于改进的灰色相似性关联度计算相似贴近度(SCD),基于理想点法(TOPSIS)计算距离贴近度(DCD),基于与相似贴近度的偏差和与距离贴近度的偏差和最小的原则建立非线性规划模型,求出集成贴近度(ICD),进而确定按集成贴近度排序的最优组合序列.最后通过一个实例详细说明了决策的过程,比较结果表明该方法相对于其他决策方法具有一定的优越性.