Table 3: Results of NRTL interaction parameters for LLE modeling of ternary systems relevant for food industry using Flower Pollination Algorithms.

System No. NRTL interaction parameters, K Best value of RMSD
A12 A21 A13 A31 A23 A32 FPA FPA-C MFPA MFPA-C
1 70.58 65.82 1307.06 561.48 325.47 -415.35 0.0092 0.0082 0.0059 0.0016
2 73.18 49.80 539.58 843.77 407.66 735.23 0.0086 0.0071 0.0058 0.0013
3 102.40 67.59 1122.87 603.88 856.11 371.93 0.0100 0.0090 0.0086 0.0048
4 114.40 76.38 1051.97 388.06 1205.35 579.46 0.0093 0.0073 0.0059 0.0035
5 93.21 88.25 873.92 284.65 907.63 323.32 0.0096 0.0080 0.0067 0.0015
6 158.68 283.51 1122.89 997.03 792.38 541.69 0.0121 0.0093 0.0091 0.0063
7 372.29 -183.72 1280.17 479.83 1053.45 809.12 0.0113 0.0095 0.0080 0.0047
8 382.21 -122.61 1197.56 511.38 1008.41 827.05 0.0088 0.0072 0.0064 0.0045
9 528.27 -155.32 1231.13 408.16 1120.92 981.54 0.0097 0.0083 0.0076 0.0048
10 -247.37 -339.83 997.60 513.48 1266.58 874.92 0.0075 0.0051 0.0048 0.0030
11 -122.85 -507.18 1305.28 492.61 1100.42 672.08 0.0079 0.0059 0.0069 0.0022
12 -318.21 -282.95 1191.62 686.73 1295.48 755.33 0.0091 0.0069 0.0077 0.0050
13 687.83 450.72 958.17 465.09 1184.57 928.60 0.0110 0.0090 0.0085 0.0067
14 1033.56 718.23 1262.93 385.87 987.61 425.88 0.0098 0.0079 0.0058 0.0031

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