Research Article

Fuzzy Constrained Probabilistic Inventory Models Depending on Trapezoidal Fuzzy Numbers

Table 2

The exact solutions and (TC) for model (I) and model ) at Laplace distribution.

Crisp caseFuzzy case
(TC)(TC)

0.10.1297.12316.74064197.53250.40917.94662732.79
0.2184.84420.24282881.62158.09921.47891944.2
0.3123.7223.50922199.23107.09324.73221532.59
0.487.721326.47921823.4476.747427.66151305.96
0.565.08129.15811607.4657.431430.29591176.14
0.650.131431.56041480.6544.611632.64211100.83
0.739.913533.69541405.7440.008433.66581052.46
0.835.835234.7151357.9136.876134.43631014.82

0.30.1297.0915.15634157.53250.44916.55192707.33
0.2184.85818.77382845.06158.05320.20631920.28
0.3123.7422.11622164.62107.06923.5361510.28
0.487.695625.1411789.7276.671726.52281284.38
0.565.097927.84931574.8957.422329.18391155.52
0.650.211730.26281448.8544.573331.56041080.66
0.739.824432.45081374.0440.087632.56591032.46
0.835.933.43881326.4336.950633.3419994.931

0.70.1297.08410.94774052.24250.40512.99972641.24
0.2184.85314.97112749.93158.11617.02851862.01
0.3123.77618.56652076.28107.09520.59581456.08
0.487.717121.75641705.3276.74423.72731233.15
0.565.08424.57831492.9957.499726.48471106.02
0.650.198927.06671368.8544.573628.94321032.24
0.739.902129.28671295.4540.319129.9172984.487
0.836.102930.25921248.337.167930.7094947.275