Table 13 Initial parameters of BRB expert system.

From: A novel optimization method for belief rule base expert system with activation rate

Rule

Weight

Flow and pressure difference with weight = 1

Belief degrees distribution for \(\left\{ {Z, \, VS, \, M,H \, ,VH} \right\}\)

1

1

Negative large, Negative large

0 0 0 0 1

2

1

Negative large, Negative medium

0 0 0 0.3 0.7

3

1

Negative large, Negative small

0 0 0.2 0.8 0

4

1

Negative large, Zero

0 0 0.8 0.2 0

5

1

Negative large, Positive small

0.65 0.35 0 0 0

6

1

Negative large, Positive medium

0.85 0.15 0 0 0

7

1

Negative large, Positive large

0.95 0.05 0 0 0

8

1

Negative medium, Negative large

0 0 0.1 0.9 0

9

1

Negative medium, Negative medium

0 0 0.7 0.3 0

10

1

Negative medium, Negative small

0 0.7 0.3 0 0

11

1

Negative medium, Zero

0 0.9 0.1 0 0

12

1

Negative medium, Positive small

0.8 0.2 0 0 0

13

1

Negative medium, Positive medium

0.9 0.1 0 0 0

14

1

Negative medium, Positive large

0.99 0.01 0 0 0

15

1

Negative small, Negative large

0 0 0.4 0.6 0

16

1

Negative small, Negative medium

0 0 0.8 0.2 0

17

1

Negative small, Negative small

0 0.3 0.6 0.1 0

18

1

Negative small, Zero

0.1 0.7 0.2 0 0

19

1

Negative small, Positive small

0.7 0.3 0 0 0

20

1

Negative small, Positive medium

0.9 0.1 0 0 0

21

1

Negative small, Positive large

1 0 0 0 0

22

1

Negative very small, Negative large

0.02 0.11 0.39 0.48 0

23

1

Negative very small, Negative medium

0.1 0.78 0.12 0 0

24

1

Negative very small, Negative small

0.36 0.64 0 0 0

25

1

Negative very small, Zero

1 0 0 0 0

26

1

Negative very small, Positive small

1 0 0 0 0

27

1

Negative very small, Positive medium

1 0 0 0 0

28

1

Negative very small, Positive large

1 0 0 0 0

29

1

Zero, Negative large

1 0 0 0 0

30

1

Zero, Negative medium

1 0 0 0 0

31

1

Zero, Negative small

1 0 0 0 0

32

1

Zero, Zero

1 0 0 0 0

33

1

Zero, Positive small

1 0 0 0 0

34

1

Zero, Positive medium

1 0 0 0 0

35

1

Zero, Positive large

1 0 0 0 0

36

1

Positive small, Negative large

0.39 0.61 0 0 0

37

1

Positive small, Negative medium

0.9 0.1 0 0 0

38

1

Positive small, Negative small

1 0 0 0 0

39

1

Positive small, Zero

1 0 0 0 0

40

1

Positive small, Positive small

1 0 0 0 0

41

1

Positive small, Positive medium

1 0 0 0 0

42

1

Positive small, Positive large

1 0 0 0 0

43

1

Positive medium, Negative large

0.1 0.9 0 0 0

44

1

Positive medium, Negative medium

0.3 0.7 0 0 0

45

1

Positive medium, Negative small

0.85 0.15 0 0 0

46

1

Positive medium, Zero

0.98 0.02 0 0 0

47

1

Positive medium, Positive small

1 0 0 0 0

48

1

Positive medium, Positive medium

1 0 0 0 0

49

  

1 0 0 0 0

50

1

Positive large, Negative large

0.9 0.1 0 0 0

51

1

Positive large, Negative medium

0.99 0.01 0 0 0

52

1

Positive large, Negative small

1 0 0 0 0

53

1

Positive large, Zero

1 0 0 0 0

54

1

Positive large, Positive small

1 0 0 0 0

55

1

Positive large, Positive medium

1 0 0 0 0

56

1

Positive large, Positive large

1 0 0 0 0