Research on the Credibility of Fuzzy Reliability

Abstract:

According to the situation of randomness and fuzziness existing in the actual project, this paper proposed a reliability-credibility model based on fuzzy theory, possibility theory and credibility theory. At firstly, a reliability-possibility distribution curve was constructed by the traditional stress-strength interference model, then, a reliability distribution function was established based on this. This model built a bridge between credibility and reliability in handling randomness and fuzziness. The research results show that the model can hand the situation of random information and fuzzy information coexistence well, and the acceptable level of reliability and the most credible reliability value can be reflected directly in the reliability-credibility distribution curve. Compared with other methods, it obtains more reliability information, accords with the actual engineering situation and guides reliability engineering design much better.

• Periodical: Applied Mechanics and Materials (Volumes 48-49)
• Pages: 984-988
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.48-49.984
• Online since: February 2011
• Authors: Ling Ling Li, Fen Fen Zhu, Chun Wen Yang, Zhi Gang Li
• Keywords: Credibility, Fuzzy Reliability, Random Reliability, Strength-Stress Interference Model

References

[1] Hang Hongzhong, in: Calculation of fuzzy reliability in the case of random stress and fuzzy fatigues strength [J]. Chinese Journal of Mechanical Engineering, 2000, 13(3) : 197-200.

DOI: 10.3901/cjme.2000.03.197

[2] Hang Hongzhong, in: Mechanical Structure Based on Defining Fuzzy Safty State by Generalized Fuzzy Strength [J]. Chinese Journal of Mechanical Engineering, 2001, 37(6) : 106-108.

DOI: 10.3901/jme.2001.06.106

[3] DONG Yu-ge, CHEN Xin-zhao and ZHAO Xian-de, in: An Approach for Calculating Fuzzy Reliability [J]. Mechanical Science and Technology, 2003, 22(1) : 15-17.

[4] DONG Yu ge, ZHU Wen yu and CHEN Xin zhao, in: Study on a calculating method of machine fuzzy reliability [J]. Journal of Systems Engineering, 2000, 15(1) : 8-11.

[5] Ni Zao, Qiu Zhiping, in: Fuzzy Reliability Analysis and Application of Structural Systems with Fuzzy Variables as Distribution Parameters [J]. Acta Aeronautica Et Astronautica Sinica, 2009, 30(5) : 872-878.

[6] Qimi Jiang, Chun-Hsien Chen, in: Application of Conventional Reliability Theory in Fuzzy Reliability Calculation [J]. Reliability Engineering & System Safety, 2003, (80) : 299-307.

DOI: 10.1016/s0951-8320(03)00055-3

[7] Dong Yuge, Wang Ainan and Wu Chenglong, in: Application of Conventional Reliability Theory in Fuzzy Reliability Calculation [J]. Transactions of the Chinese Society for Agricultural Machinery, 2007, 38(2) : 142-145.

[8] Han Jinghai, Guo Yan, in: Reliability Prediction of Product Based on Fuzzy Approaching Degree [J]. Mechanical Management and Development, 2008, 23(3) : 49-50.

[9] DONG Yuge, in: Study on fuzzy reliability design method of machine parts while random stress is in the form of fuzzy strength [J]. Journal of Machine Design, 1999, 16(3): 11-13.