Solving an entropy based intuitionistic fuzzy bi-objective dual channel cyber-physical supply chain model
研究了一个双渠道供应链模型，其中线上需求对欺诈风险敏感且服从正态分布，线下需求为直觉模糊数，通过熵优化技术求解双目标（利润和成本）问题，案例显示利润提升1.94%。
This article aims to develop a fuzzy bi-objective economic production quantity (EPQ) model where total demand splits in two parts, one for the online customers and the other for the offline customers. Here online demand is fraud-risk sensitive and follows a normal distribution, but offline demand assumes an intuitionistic fuzzy number. First of all, a crisp bi-objective (producer’s profit and customer’s cost optimisation) production inventory model has been solved under cyber-physical system. Then, due to the existence of uncertainty in offline demand, it is considered as a triangular intuitionistic fuzzy number (TIFN), and hence an intuitionistic fuzzy bi-objective mathematical model has been constructed. For model validation, by assuming offline demand as a triangular fuzzy number (TFN), a triangular fuzzy bi-objective model is formed to compare the result with the TIFN model. However, some comparative analyses have been discussed to show the validity of the model. All the models are solved by an entropy-based optimisation technique. To defuzzify the intuitionistic fuzzy model, the defuzzification method based on score and accuracy functions is utilised, and for the triangular fuzzy model, defuzzification is done by traditional approach. To show the practical usefulness of the proposed method, we have considered a real case study (picked up from a daily newspaper) for numerical illustrations. Numerical illustrations disclose that our approach is more profitable for decision maker, which gives +1.94% more profit than that of the existing one. Finally, sensitivity analysis and graphical illustrations also have been done to validate the proposed approach.