Systems Engineering and Electronics ›› 2021, Vol. 43 ›› Issue (2): 476-486.doi: 10.12305/j.issn.1001-506X.2021.02.22
• Systems Engineering • Previous Articles Next Articles
Jing BAI(), Yehua CHEN(), Rui SHI*(), Yaming ZHANG()
Received:
2020-02-27
Online:
2021-02-01
Published:
2021-03-16
Contact:
Rui SHI
E-mail:bjr@stumail.ysu.edu.cn;chenyh@ysu.edu.cn;shirui@ysu.edu.cn;yaming99@ysu.edu.cn
CLC Number:
Jing BAI, Yehua CHEN, Rui SHI, Yaming ZHANG. Emergency decision-making based on the reliability distribution of weighted cross entropy in probabilistic language[J]. Systems Engineering and Electronics, 2021, 43(2): 476-486.
Table 2
Original evaluation information of fire department k1"
方案 | e1 | e2 | e3 |
a1 | S1(0.3) | S-3(0.2) | S1(0.3) |
S2(0.7) | S-2(0.2) | S2(0.7) | |
- | S-1(0.6) | - | |
a2 | S2(0.5) | S-3(0.2) | S2(0.8) |
S3(0.5) | S-2(0.6) | S3(0.2) | |
- | S-1(0.2) | - | |
a3 | S-1(0.6) | S1(0.3) | S-1(0.7) |
S0(0.4) | S2(0.2) | S0(0.3) | |
- | S3(0.5) | - | |
a4 | S0(0.4) | S1(0.2) | S-2(0.4) |
S1(0.6) | S2(0.2) | S-1(0.6) | |
- | S3(0.6) | - | |
a5 | S2(0.7) | S0(0.4) | S1(0.2) |
S3(0.3) | S1(0.4) | S2(0.8) | |
- | S2(0.2) | - |
Table 3
Original evaluation information of traffic control department k2"
方案 | e1 | e2 | e3 |
a1 | S1(0.2) | S0(0.3) | S1(0.1) |
S2(0.8) | S1(0.7) | S2(0.4) | |
- | - | S3(0.5) | |
a2 | S-2(0.2) | S-1(0.7) | S1(0.7) |
S-1(0.6) | S0(0.3) | S2(0.2) | |
S0(0.2) | - | S3(0.1) | |
a3 | S-2(0.6) | S1(0.1) | S1(0.8) |
S-1(0.5) | S2(0.1) | S2(0.1) | |
- | S3(0.8) | S3(0.1) | |
a4 | S2(0.3) | S1(0.1) | S0(0.1) |
S3(0.7) | S2(0.1) | S1(0.7) | |
- | S3(0.8) | S2(0.2) | |
a5 | S2(0.6) | S1(0.6) | S0(0.6) |
S3(0.4) | S2(0.2) | S1(0.4) | |
- | S3(0.2) | - |
Table 4
Original evaluation information of telecommunications department k3"
方案 | e1 | e2 | e3 |
a1 | S2(0.2) | S1(0.3) | S1(0.2) |
S3(0.8) | S2(0.7) | S2(0.8) | |
a2 | S2(0.6) | S2(0.2) | S2(0.2) |
S3(0.4) | S3(0.8) | S3(0.8) | |
a3 | S1(0.3) | S1(0.3) | S1(0.3) |
S2(0.7) | S2(0.7) | S2(0.7) | |
a4 | S1(0.3) | S1(0.3) | S1(0.3) |
S2(0.7) | S2(0.7) | S2(0.7) | |
a5 | S1(0.3) | S2(0.2) | S2(0.5) |
S2(0.5) | S3(0.8) | S3(0.5) | |
S3(0.2) | - | - |
Table 5
Normalized decision information of fire department k1"
方案 | e1 | e2 | e3 |
a1 | S1(0.3) | S-3(0.2) | S1(0.3) |
S2(0.7) | S-2(0.2) | S2(0.7) | |
S3(0) | S-1(0.6) | S3(0) | |
- | S0(0) | - | |
- | S1(0) | - | |
- | S2(0) | - | |
a2 | S0(0) | S-3(0.2) | S1(0) |
S1(0) | S-2(0.6) | S2(0.8) | |
S2(0.5) | S-1(0.2) | S3(0.2) | |
S3(0.5) | - | - | |
a3 | S-2(0) | - | S-1(0.7) |
S-1(0.6) | S1(0.3) | S0(0.3) | |
S0(0.4) | S2(0.2) | S1(0) | |
S1(0) | S3(0.5) | S2(0) | |
S2(0) | - | S3(0) | |
a4 | S0(0.4) | S1(0.2) | S-2(0.4) |
S1(0.6) | S2(0.2) | S-1(0.6) | |
S2(0) | S3(0.6) | S0(0) | |
S3(0) | - | S1(0) | |
- | - | S2(0) | |
a5 | S1(0) | S0(0.4) | S0(0) |
S2(0.7) | S1(0.4) | S1(0.2) | |
S3(0.3) | S2(0.2)S3(0) | S2(0.8)S3(0) |
Table 6
Normalized decision information of fire department k1"
方案 | e1 | e2 | e3 |
a1 | S1(0.2) | S-3(0) | S1(0.1) |
S2(0.8) | S-2(0) | S2(0.4) | |
S3(0) | S-1(0)S0(0.3) | S3(0.5) | |
- | S1(0.7)S2(0) | - | |
a2 | S-2(0.2) | S-3(0) | S1(0.7) |
S-1(0.6) | S-2(0) | S2(0.2) | |
S0(0.2) | S-1(0.7) | S3(0.1) | |
S1(0) | S0(0.3) | - | |
S2(0) | - | - | |
a3 | S-2(0.6) | S1(0.1) | S-1(0) |
S-1(0.5) | S2(0.1) | S0(0) | |
S0(0) | S3(0.8) | S1(0.8) | |
S1(0) | - | S2(0.1) | |
S2(0) | - | S3(0.1) | |
a4 | S0(0) | - | S-2(0) |
S1(0) | S1(0.1) | S-1(0) | |
S2(0.3) | S2(0.1) | S0(0.1) | |
S3(0.7) | S3(0.8) | S1(0.7) | |
- | - | S2(0.2) | |
a5 | S1(0) | S0(0) | S0(0.6) |
S2(0.6) | S1(0.6) | S1(0.4) | |
S3(0.4) | S2(0.2) | S2(0) | |
- | S3(0.2) | S3(0) |
Table 7
Normalized decision information of telecommunications department k3"
方案 | e1 | e2 | e3 |
a1 | S1(0) | S-3(0) | S1(0.2) |
S2(0.2) | S-2(0) | S2(0.8) | |
S3(0.8) | S1(0) | S3(0) | |
- | S0(0) | - | |
- | S1(0.3) | - | |
- | S2(0.7) | - | |
a2 | S-2(0) | S-3(0) | S1(0) |
S-1(0) | S-2(0) | S2(0.2) | |
S0(0) | S-1(0) | S3(0.8) | |
S1(0) | S0(0) | - | |
S2(0.6) | S1(0) | - | |
S3(0.4) | S2(0.2) | - | |
- | S3(0.8) | - | |
a3 | S-2(0) | S1(0.3) | S-1(0) |
S-1(0) | S2(0.7) | S0(0) | |
S0(0) | S3(0) | S1(0.3) | |
S1(0.3) | - | S2(0.7) | |
S2(0.7) | - | S3(0) | |
a4 | S0(0) | S1(0.3) | S-2(0) |
S1(0.3) | S2(0.7) | S-1(0) | |
S2(0.7) | S3(0) | S0(0) | |
S3(0) | - | S1(0.3) | |
- | - | S2(0.7) | |
- | - | S2(0) | |
a5 | S1(0.3) | S0(0)S1(0) | S0(0)S1(0) |
S2(0.5) | S2(0.2) | S2(0.5) | |
S3(0.2) | S3(0.8) | S3(0.5) |
Table 8
Probabilistic language weighting cross entropy of interdepartmental indicators evaluated"
方案 | 指标el | 部门间概率语言赋权交叉熵 | |||||
hk1, hk2 | hk1, hk3 | hk2, hk3 | hk2, hk1 | hk3, hk1 | hk3, hk2 | ||
a1 | e1 | 0.002 | 0.088 | 0.104 | 0.002 | 0.112 | 0.127 |
e2 | 0.119 | 0.113 | 0.060 | 0.098 | 0.152 | 0.066 | |
e3 | 0.030 | 0.002 | 0.037 | 0.032 | 0.002 | 0.047 | |
a2 | e1 | 0.094 | 0.002 | 0.091 | 0.085 | 0.002 | 0.104 |
e2 | 0.091 | 0.130 | 0.106 | 0.126 | 0.199 | 0.140 | |
e3 | 0.705 | 0.064 9 | 0.100 | 0.066 | 0.074 | 0.125 | |
a3 | e1 | 0.065 | 0.095 | 0.115 | 0.052 | 0.109 | 0.145 |
e2 | 0.018 | 0.050 | 0.107 | 0.021 | 0.051 | 0.096 | |
e3 | 0.094 | 0.089 | 0.062 | 0.104 | 0.100 | 0.064 | |
a4 | e1 | 0.095 | 0.062 | 0.081 | 0.110 | 0.067 | 0.074 |
e2 | 0.008 | 0.065 | 0.107 | 0.010 | 0.064 | 0.096 | |
e3 | 0.087 | 0.090 | 0.042 | 0.099 | 0.105 | 0.044 | |
a5 | e1 | 0.002 | 0.013 | 0.013 | 0.002 | 0.012 | 0.013 |
e2 | 0.023 | 0.093 | 0.062 | 0.024 | 0.116 | 0.074 | |
e3 | 0.088 | 0.031 | 0.098 | 0.078 | 0.032 | 0.105 |
Table 9
Discount reliability distribution function for each program as provided by department"
方案 | 评估指标el | 评估等级置信度 | |||||||
P(Θ) | -3 | -2 | -1 | 0 | 1 | 2 | 3 | ||
a1 | e1 | 0.476 | 0 | 0 | 0 | 0 | 0.082 | 0.315 | 0.126 |
e2 | 0.55 | 0.029 | 0.029 | 0.088 | 0.044 | 0.155 | 0.103 | 0 | |
e3 | 0.480 | 0 | 0 | 0 | 0 | 0.096 | 0.347 | 0.076 | |
a2 | e1 | 0.502 | 0 | 0.032 | 0.208 | 0.099 | 0 | 0.079 | 0.079 |
e2 | 0.524 | 0.031 | 0.094 | 0.147 | 0.047 | 0 | 0.031 | 0.125 | |
e3 | 0.197 | 0 | 0 | 0 | 0 | 0.507 | 0.157 | 0.139 | |
a3 | e1 | 0.470 | 0 | 0.099 | 0.199 | 0.066 | 0.050 | 0.116 | 0 |
e2 | 0.572 | 0 | 0 | 0 | 0 | 0.099 | 0.142 | 0.187 | |
e3 | 0.140 | 0 | 0 | 0.294 | 0.239 | 0.069 | 0.047 | 0.211 | |
a4 | e1 | 0.337 | 0 | 0 | 0 | 0.158 | 0.251 | 0.100 | 0.153 |
e2 | 0.572 | 0 | 0 | 0 | 0 | 0.084 | 0.141 | 0.203 | |
e3 | 0.451 | 0 | 0.070 | 0.105 | 0.018 | 0.190 | 0.167 | 0 | |
a5 | e1 | 0.306 | 0 | 0 | 0 | 0 | 0.145 | 0.333 | 0.215 |
e2 | 0.268 | 0 | 0 | 0 | 0.149 | 0.208 | 0.170 | 0.206 | |
e3 | 0.447 | 0 | 0 | 0 | 0.104 | 0.110 | 0.253 | 0.087 |
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