TY - JOUR ID - 76525 TI - A max-min fuzzy approach for supplier selection and order allocation problem with transportation costs: Genetic algorithm JO - Journal of Industrial and Systems Engineering JA - JISE LA - en SN - 1735-8272 AU - Sobhanolahi, Mohammad Ali AU - Mahmoodzadeh, Ahmad AU - Naderi, Bahman AD - Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran Y1 - 2018 PY - 2018 VL - 11 IS - 4 SP - 204 EP - 215 KW - fuzzy programming KW - Genetic Algorithm KW - Supplier selection KW - order allocation DO - N2 - In this paper, we study a supplier selection and order allocation problem with in a multi-objective and fuzzy environment. Transportation costs and quantity discount are taken into account in the problem. We assume four common objectives as total costs, on-time delivery rate, defective rate, and purchasing value. We utilize a max-min approach such that the min-operator finds the fuzzy decision that simultaneously satisfies all the fuzzy objectives. Then the maximizing decision is determined to be the maximum degree of membership for the fuzzy decision. We use the non-linear S-shape membership functions to express the vague aspiration levels of the DM’s objective. According to the defined fuzzy membership functions and applying Bellman–Zadeh’s maximization principle, the fuzzy multi objective model is transformed into a single objective model. A genetic algorithm is applied to solve the multi objective fuzzy supplier selection and order allocation problem. Computational results are presented using numerical examples. UR - https://www.jise.ir/article_76525.html L1 - https://www.jise.ir/article_76525_fe3df2c5d57aa428ac18f202aeca87b8.pdf ER -