8 5 pair 22 20 box 36 0.02 # 50 0.02 # 9 3 # 23 2 kg 37 0.02 # 51 0.02 # 10 5 # 24 3 box 38 0.02 # 52 0.01 # 11 15 # 25 20 box 39 0.02 # 53 20 liter 12 3 kg 26 1 # 40 0.0005 kg 54 0.2 box 13 20 liter 27 1 # 41 0.02 # 55 0.2 # 14 1 # 28 0.1* # 42 0.002 # *Those demands with decimal numbers are mostly related to the relief equipment which satisfies more than one family’s demand. Table S4. Comparative results for different fuzzy measures (α=0.8) Operating and Expected Expected maximum Expected unused Measures storing costs transportation time transportation time and shortage cost (Rials) (minute) (minute) (Rials) Necessity 3.7379E+11 8.2892E+08 2.2770E+06 Measure Possibility 3.2215E+11 7.3379E+08 1.8929E+06 8.0440E+11 Measure Credibility 7.6602E+08 2.0167E+06 8.7009E+11 Measure Fig. S1.The structure of the humanitarian relief chain Fig. S2. A schematic map of Tehran: districts and candidate locations for CWs. Fig. S3. Sensitivity analysis for objective weights (α=0.8) while considering the objective function (8) as the main objective
8 5 pair 22 20 box 36 0.02 # 50 0.02 # 9 3 # 23 2 kg 37 0.02 # 51 0.02 # 10 5 # 24 3 box 38 0.02 # 52 0.01 # 11 15 # 25 20 box 39 0.02 # 53 20 liter 12 3 kg 26 1 # 40 0.0005 kg 54 0.2 box 13 20 liter 27 1 # 41 0.02 # 55 0.2 # 14 1 # 28 0.1* # 42 0.002 # *Those demands with decimal numbers are mostly related to the relief equipment which satisfies more than one family’s demand. Table S4. Comparative results for different fuzzy measures (α=0.8) Measures Operating and storing costs (Rials) Expected transportation time (minute) Expected maximum transportation time (minute) Expected unused and shortage cost (Rials) Necessity Measure 3.7379E+11 8.2892E+08 2.2770E+06 Possibility Measure 3.2215E+11 7.3379E+08 1.8929E+06 8.0440E+11 Credibility Measure 7.6602E+08 2.0167E+06 8.7009E+11 Fig. S1.The structure of the humanitarian relief chain Fig. S2. A schematic map of Tehran: districts and candidate locations for CWs. Fig. S3. Sensitivity analysis for objective weights (α=0.8) while considering the objective function (8) as the main objective
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