Table 5 Initial parameters of the BRB expert system.

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

Rule

Weight

Attributes

Belief degrees distribution

\(a_{1} \left( t \right)\)

\(a_{2} \left( t \right)\)

\(a_{2} \left( t \right)\)

\(\left\{ {H,SH,UH} \right\}\)

1

1

NL

PS

NL

\(\left\{ {1,0,0} \right\}\)

2

1

NL

PS

NM

\(\left\{ {0.9,0.1,0} \right\}\)

3

1

NL

PS

NS

\(\left\{ {0.8,0.2,0} \right\}\)

4

1

NL

PS

NVS

\(\left\{ {{0}{\text{.7,0}}{.3,0}} \right\}\)

5

1

NL

PM

NL

\(\left\{ {{0}{\text{.9,0}}{.1,0}} \right\}\)

6

1

NL

PM

NM

\(\left\{ {{0}{\text{.8,0}}{.1,0}{\text{.1}}} \right\}\)

7

1

NL

PM

NS

\(\left\{ {{0}{\text{.7,0}}{.2,0}{\text{.1}}} \right\}\)

8

1

NL

PM

NVS

\(\left\{ {{0}{\text{.7,0}}{.3,0}} \right\}\)

9

1

NL

PL

NL

\(\left\{ {{0}{\text{.8,0}}{.2,0}} \right\}\)

10

1

NL

PL

NM

\(\left\{ {{0}{\text{.7,0}}{.2,0}{\text{.1}}} \right\}\)

11

1

NL

PL

NS

\(\left\{ {{0}{\text{.6,0}}{.3,0}{\text{.1}}} \right\}\)

12

1

NL

PL

NVS

\(\left\{ {{0}{\text{.6,0}}{.4,0}} \right\}\)

13

1

NL

PVL

NL

\(\left\{ {{0}{\text{.8,0}}{.2,0}} \right\}\)

14

1

NL

PVL

NM

\(\left\{ {{0}{\text{.7,0}}{.3,0}} \right\}\)

15

1

NL

PVL

NS

\(\left\{ {{0}{\text{.6,0}}{.4,0}} \right\}\)

16

1

NL

PVL

NVS

\(\left\{ {{0}{\text{.5,0}}{.4,0}{\text{.1}}} \right\}\)

17

1

NS

PS

NL

\(\left\{ {{0}{\text{.8,0}}{.2,0}} \right\}\)

18

1

NS

PS

NM

\(\left\{ {{0}{\text{.7,0}}{.2,0}{\text{.1}}} \right\}\)

19

1

NS

PS

NS

\(\left\{ {{0}{\text{.6,0}}{.3,0}{\text{.1}}} \right\}\)

20

1

NS

PS

NVS

\(\left\{ {{0}{\text{.5,0}}{.4,0}{\text{.1}}} \right\}\)

21

1

NS

PM

NL

\(\left\{ {{0}{\text{.5,0}}{.3,0}{\text{.2}}} \right\}\)

22

1

NS

PM

NM

\(\left\{ {{0}{\text{.4,0}}{.5,0}{\text{.1}}} \right\}\)

23

1

NS

PM

NS

\(\left\{ {{0}{\text{.3,0}}{.7,0}} \right\}\)

24

1

NS

PM

NVS

\(\left\{ {{0}{\text{.3,0}}{.6,0}{\text{.1}}} \right\}\)

25

1

NS

PL

NL

\(\left\{ {{0}{\text{.1,0}}{.6,0}{\text{.3}}} \right\}\)

26

1

NS

PL

NM

\(\left\{ {{0}{\text{.1,0}}{.6,0}{\text{.3}}} \right\}\)

27

1

NS

PL

NS

\(\left\{ {{0}{\text{.1,0}}{.6,0}{\text{.3}}} \right\}\)

28

1

NS

PL

NVS

\(\left\{ {{0}{\text{.1,0}}{.6,0}{\text{.3}}} \right\}\)

29

1

NS

PVL

NL

\(\left\{ {{0}{\text{.1,0}}{.3,0}{\text{.6}}} \right\}\)

30

1

NS

PVL

NM

\(\left\{ {{0}{\text{.1,0}}{.5,0}{\text{.4}}} \right\}\)

31

1

NS

PVL

NS

\(\left\{ {{0}{\text{.1,0}}{.3,0}{\text{.6}}} \right\}\)

32

1

NS

PVL

NVS

\(\left\{ {{0}{\text{.1,0}}{.2,0}{\text{.7}}} \right\}\)

33

1

PS

PS

NL

\(\left\{ {{0}{\text{.3,0}}{.5,0}{\text{.2}}} \right\}\)

34

1

PS

PS

NM

\(\left\{ {{0}{\text{.1,0}}{.6,0}{\text{.3}}} \right\}\)

35

1

PS

PS

NS

\(\left\{ {{0}{\text{.1,0}}{.5,0}{\text{.4}}} \right\}\)

36

1

PS

PS

NVS

\(\left\{ {{0}{\text{.1,0}}{.4,0}{\text{.5}}} \right\}\)

37

1

PS

PM

NL

\(\left\{ {{0}{\text{.1,0}}{.6,0}{\text{.3}}} \right\}\)

38

1

PS

PM

NM

\(\left\{ {{0}{\text{.1,0}}{.7,0}{\text{.2}}} \right\}\)

39

1

PS

PM

NS

\(\left\{ {{0,0}{\text{.6,0}}{.4}} \right\}\)

40

1

PS

PM

NVS

\(\left\{ {{0,0}{\text{.5,0}}{.5}} \right\}\)

41

1

PS

PL

NL

\(\left\{ {{0,0}{\text{.5,0}}{.5}} \right\}\)

42

1

PS

PL

NM

\(\left\{ {{0,0}{\text{.6,0}}{.4}} \right\}\)

43

1

PS

PL

NS

\(\left\{ {{0,0}{\text{.5,0}}{.5}} \right\}\)

44

1

PS

PL

NVS

\(\left\{ {{0,0}{\text{.4,0}}{.6}} \right\}\)

45

4

PS

PVL

NL

\(\left\{ {{0}{\text{.1,0}}{.4,0}{\text{.5}}} \right\}\)

46

1

PS

PVL

NM

\(\left\{ {{0,0}{\text{.4,0}}{.6}} \right\}\)

47

1

PS

PVL

NS

\(\left\{ {{0,0}{\text{.5,0}}{.5}} \right\}\)

48

1

PS

PVL

NVS

\(\left\{ {{0,0}{\text{.4,0}}{.6}} \right\}\)

49

1

PL

PS

NL

\(\left\{ {{0}{\text{.2,0}}{.3,0}{\text{.5}}} \right\}\)

50

1

PL

PS

NM

\(\left\{ {{0}{\text{.3,0}}{.2,0}{\text{.5}}} \right\}\)

51

1

PL

PS

NS

\(\left\{ {{0}{\text{.1,0}}{.4,0}{\text{.5}}} \right\}\)

52

1

PL

PS

NVS

\(\left\{ {{0,0}{\text{.5,0}}{.5}} \right\}\)

53

1

PL

PM

NL

\(\left\{ {{0}{\text{.3,0}}{.2,0}{\text{.5}}} \right\}\)

54

1

PL

PM

NM

\(\left\{ {{0}{\text{.2,0}}{.3,0}{\text{.5}}} \right\}\)

55

1

PL

PM

NS

\(\left\{ {{0}{\text{.1,0}}{.4,0}{\text{.5}}} \right\}\)

56

1

PL

PM

NVS

\(\left\{ {{0,0}{\text{.4,0}}{.6}} \right\}\)

57

1

PL

PL

NL

\(\left\{ {{0}{\text{.1,0}}{.4,0}{\text{.5}}} \right\}\)

58

1

PL

PL

NM

\(\left\{ {{0}{\text{.1,0}}{.4,0}{\text{.5}}} \right\}\)

59

1

PL

PL

NS

\(\left\{ {{0}{\text{.1,0}}{.3,0}{\text{.6}}} \right\}\)

60

1

PL

PL

NVS

\(\left\{ {{0,0}{\text{.3,0}}{.7}} \right\}\)

61

1

PL

PVL

NL

\(\left\{ {{0}{\text{.1,0}}{.1,0}{\text{.8}}} \right\}\)

62

1

PL

PVL

NM

\(\left\{ {{0,0}{\text{.2,0}}{.8}} \right\}\)

63

1

PL

PVL

NS

\(\left\{ {{0,0}{\text{.1,0}}{.9}} \right\}\)

64

1

PL

PVL

NVS

\(\left\{ {0,0,1} \right\}\)