Table 4: Results of UNIQUAC interaction parameters for LLE modeling of ternary systems relevant for food industry using Flower Pollination Algorithms.

System No. UNIQUAC interaction parameters, K Best value of RMSD
A12 A21 A13 A31 A23 A32 FPA FPA-C MFPA MFPA-C
1 -283.10 425.39 1120.72 886.15 1368.91 425.85 0.0088 0.0066 0.0066 0.0010
2 -83.51 261.10 1034.05 628.37 1286.47 536.18 0.0082 0.0048 0.0052 0.0015
3 197.82 381.21 1126.94 465.14 1371.37 526.18 0.0110 0.0086 0.0082 0.0044
4 319.45 238.67 1053. 23 548.18 1203.98 779.71 0.0093 0.0058 0.0058 0.0030
5 -98.27 416.71 1007.88 892.31 1317.02 686.47 0.0086 0.0046 0.0064 0.0018
6 451.11 763.36 1279.77 1055.48 1362.15 825.61 0.0154 0.0098 0.0083 0.0058
7 518.72 -397.85 927.16 -243.32 1180.33 926.42 0.0103 0.0087 0.0071 0.0042
8 959.72 183.65 1042.63 -311.82 1295.44 717.06 0.0087 0.0040 0.0061 0.0038
9 1153.45 621.92 946.27 -418.62 1316.73 483.37 0.0089 0.0052 0.0069 0.0041
10 753.48 -285.26 829.54 -575.83 1082.65 716.02 0.0073 0.0038 0.0050 0.0021
11 910.12 -435.78 1295.49 -821.58 1312.65 541.48 0.0077 0.0041 0.0067 0.0013
12 1125.47 276.13 1050.35 -387.56 1379.62 791.05 0.0082 0.0057 0.0073 0.0015
13 -273.21 432.13 812.44 589.97 1281.89 354.08 0.0097 0.0073 0.0081 0.0048
14 186.73 709.24 1104.58 967.81 1308.62 649.34 0.0089 0.0066 0.0078 0.0055

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