A Trusted 3.0 Network Security Risk Assessment and Decision Support System Based on Discrete Rough Sets
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Mar 17, 2025
About this article
Published Online: Mar 17, 2025
Received: Nov 06, 2024
Accepted: Feb 19, 2025
DOI: https://doi.org/10.2478/amns-2025-0224
Keywords
© 2025 Weijia Su et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
Figure 1.

Figure 2.

Figure 3.

Data set information description
Data set | Number of continuous properties | Class number | Instance number |
---|---|---|---|
Iris | 6 | 3 | 132 |
Breast | 11 | 3 | 631 |
Wine | 9 | 4 | 241 |
Sonar | 68 | 5 | 213 |
The simplest decision information table
Rule | Condition | Decision D | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
a | b | c | d | e | f | g | h | i | ||
1 | 1 | 2 | 3 | - | 2 | - | 3 | 1 | - | 1 |
2 | 1 | - | 2 | - | - | 3 | - | - | 1 | 1 |
3 | - | 3 | 2 | - | - | 1 | - | 2 | 3 | 3 |
4 | - | - | - | 2 | 3 | - | - | 1 | 3 | 2 |
5 | 3 | - | 2 | - | 1 | - | - | 2 | 1 | 2 |
6 | 3 | - | 1 | - | - | 2 | 2 | - | 2 | 3 |
7 | - | 3 | - | - | - | 1 | - | 3 | 2 | 3 |
8 | 2 | - | 1 | - | - | 2 | 3 | 1 | 2 | 2 |
9 | 1 | - | - | 3 | - | - | - | 3 | - | 1 |
10 | 3 | 2 | - | 1 | - | 2 | 3 | 3 | - | 3 |
Rough set evaluation results
Sample number | Actual output | Expected output | Relative error/% | Threat level |
---|---|---|---|---|
91 | 0.887 | 0.865 | 2.54 | Height |
92 | 0.843 | 0.828 | 1.81 | Medium |
93 | 0.869 | 0.859 | 1.16 | Height |
94 | 0.826 | 0.817 | 1.1 | Height |
95 | 0.524 | 0.531 | 1.32 | Low |
96 | 0.324 | 0.325 | 0.31 | Height |
97 | 0.334 | 0.339 | 1.47 | Height |
98 | 0.861 | 0.875 | 1.6 | Medium |
99 | 0.212 | 0.207 | 2.42 | Low |
100 | 0.403 | 0.409 | 1.47 | Low |
BP neural network evaluation results
Sample number | Actual output | Expected output | Relative error/% | Threat level |
---|---|---|---|---|
91 | 0.875 | 0.865 | 1.16 | Height |
92 | 0.837 | 0.828 | 1.09 | Medium |
93 | 0.885 | 0.859 | 3.03 | Height |
94 | 0.862 | 0.817 | 5.51 | Height |
95 | 0.551 | 0.531 | 3.77 | Low |
96 | 0.375 | 0.325 | 15.38 | Height |
97 | 0.343 | 0.339 | 1.18 | Height |
98 | 0.837 | 0.875 | 4.34 | Medium |
99 | 0.201 | 0.207 | 2.9 | Low |
100 | 0.365 | 0.409 | 10.76 | Low |