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Table 5 Ranking score and optimal selection of the eight ANN architectures using the MCDA method

From: GaS_GeoT: A computer program for an effective use of newly improved gas geothermometers in predicting reliable geothermal reservoir temperatures

Ranking/best selection

Neural network model

ANN architecture

Score

Score average

Scenario 1

Scenario 2

Scenario 3

Scenario 4

1

ANN-22a

[3-34-1]

8.45

8.12

8.58

8.74

8.47

2

ANN-12a

[4-13-1]

8.38

7.98

8.68

8.57

8.40

3

ANN-25a

[4-10-1]

8.23

7.94

8.37

8.45

8.25

4

ANN-13a

[5-9-1]

8.18

7.78

8.50

8.36

8.20

5

ANN-23a

[3-15-1]

8.12

7.76

8.39

8.31

8.15

6

ANN-7a

[3-18-1]

8.11

7.68

8.45

8.32

8.14

7

ANN-9a

[3-15-1]

8.04

7.63

8.37

8.21

8.06

8

ANN-20a

[3-18-1]

8.02

7.68

8.31

8.15

8.04

9

ANN-24

[3-14-1]

7.97

7.62

8.23

8.14

7.99

10

ANN-10

[3-9-1]

7.95

7.55

8.29

8.10

7.97

11

ANN-8

[3-9-1]

7.76

7.33

8.13

7.92

7.78

12

ANN-11

[3-9-1]

7.74

7.32

8.11

7.90

7.77

13

ANN-6

[3-12-1]

7.49

7.09

7.87

7.60

7.51

14

ANN-21

[3-6-1]

7.33

6.96

7.71

7.42

7.36

15

ANN-37

[3-9-1]

7.22

7.44

7.12

7.04

7.21

16

ANN-19

[3-27-1]

6.89

6.86

6.68

7.16

6.90

17

ANN-39

[5-6-1]

6.86

7.22

6.75

6.50

6.83

18

ANN-34

[3-8-1]

6.84

7.24

6.75

6.43

6.82

19

ANN-33

[3-8-1]

6.46

7.19

6.05

5.95

6.41

20

ANN-38

[4-8-1]

6.06

6.82

5.55

5.61

6.01

21

ANN-15

[1-34-1]

5.95

5.53

6.47

5.95

5.97

22

ANN-32

[3-8-1]

5.98

6.58

5.24

5.97

5.94

23

ANN-36

[3-7-1]

5.96

6.54

5.76

5.44

5.93

24

ANN-14

[1-33-1]

5.87

5.52

6.31

5.87

5.89

25

ANN-28

[1-14-1]

5.88

6.06

6.08

5.45

5.87

26

ANN-1

[1-32-1]

5.69

5.23

6.25

5.70

5.72

27

ANN-2

[1-3-1]

5.62

5.18

6.18

5.61

5.65

28

ANN-3

[1-13-1]

5.56

5.10

6.13

5.56

5.59

29

ANN-26

[5-5-1]

5.56

5.95

4.56

6.06

5.53

30

ANN-16

[1-16-1]

5.42

5.02

5.97

5.36

5.44

31

ANN-35

[3-11-1]

5.49

6.44

5.02

4.79

5.43

32

ANN-5

[2-28-1]

5.06

4.47

5.71

5.15

5.10

33

ANN-18

[2-34-1]

4.98

4.47

5.61

4.98

5.01

34

ANN-31

[2-9-1]

4.67

5.37

4.47

4.00

4.63

35

ANN-30

[1-8-1]

4.42

4.57

4.86

3.79

4.41

36

ANN-27

[1-10-1]

4.20

4.74

3.83

3.89

4.16

37

ANN-17

[1-25-1]

3.51

2.90

4.31

3.46

3.54

38

ANN-4

[1-26-1]

3.47

2.81

4.30

3.47

3.51

39

ANN-29

[1-4-1]

3.30

3.23

3.96

2.73

3.31

  1. aNeural network models that represent the new gas geothermometer equations proposed in this work