基于PIWOA的绿色闭环供应链网络多目标模糊优化设计

针对闭环供应链网络优化设计问题，建立了一种基于Me测度的闭环供应链网络多目标优化设计模型，以此降低供应链网络设计中不确定性因素在求解时的影响。首先，针对多层级闭环供应链网络，建立以成本最小、CO₂排放量最小以及社会效益最大为目标的优化函数，并采用Me测度和三角模糊数对模型及相关约束进行模糊处理，得到不确定性闭环供应链网络优化模型；其次，在原有鲸鱼算法的基础上，引入变异收敛因子，增强其搜索能力，并将Pareto引入改进后的鲸鱼算法求解所建模型；最后，通过数值实例和仿真分析验证算法在搜索能力、时间以及优化目标函数值等方面具有较强的优势和性能。

Green Closed-loop Supply Chain Network Based on PIWOA Multi-objective Fuzzy Optimal Design

Aiming at the optimization design of closed-loop supply chain network, a multi-objective optimization design model of closed-loop supply chain network based on Me measure is established to reduce the influence of uncertainty factors in the solution of supply chain network design. Firstly, based on the multi-level closed-loop supply chain network, an optimization function with minimum cost, minimum CO₂ emission and maximum social benefit is established. The Me measure and triangular fuzzy number are used to conduct fuzzy processing of the model and related constraints, and the uncertain closed-loop supply chain network optimization model obtained. Secondly, on the basis of the original whale algorithm, variable convergence factor is introduced to enhance its search ability, and Pareto introduced into the improved whale algorithm to solve the established model. Finally, numerical examples and simulation analysis verify that the algorithm has strong advantages and performance in search capability, time and optimization objective function value.