## 6 Application  
Three evaluators who are decision-makers in the field of rescue robots have meticulously chosen, each with distinct backgrounds and extensive experience. The first evaluator has a Ph.D. degree and boasts more than two decades of research proficiency in robot motion control and drive. The second decision maker is an engineer specializing in earthquake rescue robot exploration and rescue technology, who has made significant contributions to the development of testing and evaluation processes. The third decision maker is a member of an earthquake emergency rescue team, possessing extensive knowledge about the practical application scenarios for earthquake rescue robots. According to Table 7, the \(\widetilde{\mathbf{X}}\) value of the criterion layer relative to the target layer was determined by each decision maker. The consistency indexes were calculated as \(\rho_{1}=0.1667\), \(\rho_{2}=0.0417\), and \(\rho_{3}=0.1333\), all falling below the predefined threshold \(\varepsilon\). \[\widetilde{\mathbf{X}}= \begin{bmatrix}(0.5,0.5,0.5,0.5)&(0.5,0.7,0.8,0.9)&(0.8,1,1,1)\\ (0.1,0.2,0.3,0.5)&(0.5,0.5,0.5)&(0.5,0.7,0.7,0.9)\\ (0,0,0.2)&(0.1,0.3,0.3,0.5)&(0.5,0.5,0.5)\end{bmatrix} \]  
According to Equations (4)-(7), The corresponding weights for the performance of earthquake search and rescue robots can be further obtained \(\mathbf{W}_{A}=\{0.2080,0.2570,0.2690,\)\(0.2660\}^{T}\) The results highlight that detection perception capability is recognized as a crucial factor influencing the selection of earthquake search and rescue robots based on their performance. According to the same principle, the relative weight of each index with respect to each criterion can be derived, as illustrated in Table 8.  
The findings indicate that the probability of life body identification \(C_{31}\) has the most significant impact on the performance of earthquake search and rescue robots, followed by the Success rate of the operating interface \(C_{42}\) and Continuous working time with an independent power supply \(C_{11}\). This is because efficiently locating survivors in earthquake debris is the primary function of earthquake search and rescue robots, and the duration of their operation significantly affects search and rescue effectiveness. Ensuring accurate communication data between the robot and operator serves as a crucial guarantee for successful survivor detection by the earthquake search and rescue robot. However, while enhancing the overall performance of earthquake search and rescue robots, the Mass-to-volume ratio \(C_{21}\), Unit pressure exerted by the tracked device on the ground \(C_{22}\), and Subversive resistance on complex road surface \(C_{211}\) are less significant. Additionally, the survivability of the earthquake search and rescue robot is significantly impacted by Continuous working time with an independent power supply \(C_{11}\). The mobility of the earthquake search and rescue robot is significantly impacted by the Maximum width across trenches \(C_{25}\), Maximum height of obstacles to be overcome \(C_{26}\), Maximum angle for climbing \(C_{27}\), Number of steps climped per unit time \(C_{28}\) and Success rate of mechanism transformation \(C_{29}\). The detection perception ability of the earthquake search and rescue robot is significantly impacted by the Probability of life body identification \(C_{31}\). The Communication control ability of the earthquake search and rescue robot is significantly impacted by the Success rate of the operating interface \(C_{42}\). The data presented in Tables 6 and 8 have been incorporated into the improved radar chart, as depicted in Figure 6a. The findings demonstrate that Sample C offers a viable solution for enhancing the capability of earthquake search and rescue robots to effectively penetrate debris and locate survivors while aiding rescuers in establishing access routes. By utilizing Sample C, the associated risks with search and rescue operations can be mitigated, thereby leading to improved overall efficiency of rescue efforts.