In the field of supply chain, selecting a suitable green supplier could significantly help us to decrease the cost and the risk involved in the operations as well as increase in the quality and green. In this paper, we develop an integrated two-stage approach based on fuzzy analytic hierarchy process (FAHP) and multi-objective mixed-integer linear programming to select suppliers and order allocation in green supply chain. In the first stage, suppliers are evaluated using FAHP method, and in the second stage, a multi-product multi-period supply chain considering green location-routing problem, discounting, and time window under uncertainty is developed. Then, a fuzzy solution approach is applied to solve proposed model using the data of a pharmaceutical chain in Iran. Results will verify the efficiency of the proposed model. [38], Ware et al. [39], Chai et al. [40], Igarashi et al. [41], Govindan et al. [42], Zimmer et al. [43] and Keshavarz Ghorabaee et al. [44]. Studies in the field of supplier selection can be mainly divided into three categories: supplier evaluation and selection, order allocation and combination of both [3]. In this research, the papers on the Green Supplier Selection and Order allocation are reviewed. Mafakheri et al. [45] used the AHP to determine the criteria weights and obtain the suppliers' scores. They also used a bi-objective mathematical model and a solution approach based on dynamic programming for order allocation. The objective functions simultaneously minimize costs and maximizes the purchase value. Four main criteria of price, delivery, quality and environmental performance were defined for supplier evaluation. Shaw et al. [46] presented a combined approach based on FAHP and fuzzy MOLP for supplier selection and order allocation problem towards minimizing greenhouse gas emissions. They applied the model on garment manufacturing company in India as for model validation. Kannan et al. [13] developed an integrated approach based on FAHP, FTOPSIS and MOLP for supplier selection and order allocation in a green supply chain management. They measured the performance of each supplier based on the cost, quality, delivery, technology capability and environmental competency criteria, using the combination of FAHP and FTOPSIS methods. Then, the resulted scores were used as a factor in the objective function of maximizing purchases from the fitting suppliers. The other objective function was to minimize total cost of purchasing. Using three environmental criteria including environmental management system, pollution and greenhouse emissions, along with other criteria, Azadnia et al. [47] utilized the FAHP method to evaluate suppliers. They developed a multi-objective programming model for allocating orders to suppliers. Govindan and Sivakumar [14] proposed a MOLP model for simultaneously minimizing costs, minimizing defective product purchases, minimizing delays in products delivery, minimizing recycling losses, and minimizing carbon emissions. They used fuzzy TOPSIS method to calculate th...
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