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