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Reliability allocation of industrial robot systems based on BP neural network and Pythagorean fuzzy numbers
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Minjun XU, Qiuxian DONG, Ruliang LIU, Jun LIU, Chenguang XIA, Xiaojie FANG
Journal of Mechanical Strength | 2025, 47(8) : 131 - 140
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Journal of Mechanical Strength | 2025, 47(8): 131-140
• Optimization·Reliability •
Reliability allocation of industrial robot systems based on BP neural network and Pythagorean fuzzy numbers
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Minjun XU, Qiuxian DONG, Ruliang LIU, Jun LIU, Chenguang XIA, Xiaojie FANG
Affiliations
  • School of Mathematics and Computer sciences, Nanchang University, Nanchang 330031, China
Published: 2025-08-15 doi: 10.16579/j.issn.1001.9669.2025.08.016
Outline
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In order to ensure the industrial robot realizes the reliability goal, reliability allocation is a task to be accomplished in its manufacturing design stage. According to the characteristics of industrial robots, such as complex structure, high uncertainty, few samples, and failure correlation between component parts, a reliability allocation method for industrial robot systems based on BP neural network and Pythagorean fuzzy numbers was proposed. Using Copula function to establish a system reliability model, the failures of industrial robots were classified into three levels, the system level, the subsystem level, and the component level. By using the back propagation (BP) neural network, the system reliability,subsystem structure importance and subsystem complexity were taken as the input variables to complete the system-to-subsystem reliability allocation. The Pythagoras fuzzy number was introduced to score the influence factors of importance,environmental condition, technical level, maintainability, cost sensitivity and complexity, complete the reliability allocation from the subsystem level to the component level.The results show that the methodology achieves reliability goals and ensures reliability growth.

Reliability allocation  /  Industrial robot  /  Copula function  /  BP neural network  /  Pythagorean fuzzy number
徐闽军, 董秋仙, 刘汝良, 刘君, 夏辰光, 方笑婕. 结合BP神经网络和毕达哥拉斯模糊数的工业机器人系统的可靠性分配. 机械强度, 2025 , 47 (8) : 131 -140 . DOI: 10.16579/j.issn.1001.9669.2025.08.016
Minjun XU, Qiuxian DONG, Ruliang LIU, Jun LIU, Chenguang XIA, Xiaojie FANG. Reliability allocation of industrial robot systems based on BP neural network and Pythagorean fuzzy numbers[J]. Journal of Mechanical Strength, 2025 , 47 (8) : 131 -140 . DOI: 10.16579/j.issn.1001.9669.2025.08.016
Funding
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  • National Natural Science Foundation of China(72071099)
Appendix
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Year 2025 volume 47 Issue 8
574
273
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Article Info
doi: 10.16579/j.issn.1001.9669.2025.08.016
  • Receive Date：2023-11-05
  • Online Date：2026-03-19
  • Published：2025-08-15
Article Data
Affiliations
History
  • Received：2023-11-05
  • Revised：2024-01-08
Funding
National Natural Science Foundation of China(72071099)
Affiliations
    School of Mathematics and Computer sciences, Nanchang University, Nanchang 330031, China

Corresponding:

DONG Qiuxian, E-mail：
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