[1] CUI L R,HUANG J B,LI Y.Degradation models with Wiener diffusion processes under calibrations[J].IEEE Transactions on Reliability,2016,65(2):613-623. [2] QIU Q A,CUI L R.Reliability evaluation based on a dependent two-stage failure process with competing failures[J].Applied Mathematical Modelling,2018,64:699-712. [3] RAFIEE K,FENG Q M,COIT D W.Reliability modeling for dependent competing failure processes with changing degradation rate[J].IIE Transactions,2014,46(5):483-496. [4] LIU B D.Uncertainty theory[M].2nd ed.Berlin:Springer,2007. [5] LIU B D.Uncertainty theory:A branch of mathematics for modeling human uncertainty[M].Berlin:Springer,2010. [6] LIU B D.Fuzzy process,hybrid process and uncertain process[J].Journal of Uncertain System,2008,2(1):3-16. [7] LIU B D.Some research problems in uncertainty theory[J].Journal of Uncertain Systems,2009,3(1):3-10. [8] ZHANG Z Q,YANG X F.Uncertain population model[J].Soft Computing,2020,24(2):2417-2423. [9] YAO K.First hitting time of uncertain random renewal reward process and its application in insurance risk process[J].Soft Computing,2019,23(11):3687-3696. [10] ZHANG Q Y,KANG R,WEN M L.A new method of level-2 uncertainty analysis in risk assessment based on uncertainty theory[J].Soft Computing,2018,22(17):5867-5877. [11] YAO K,LIU B D.Parameter estimation in uncertain differential equations[J].Fuzzy Optimization and Decision Making,2020,19(1):1-12. [12] YANG X F,LIU B D.Uncertain time series analysis with imprecise observations[J].Fuzzy Optimization and Decision Making,2019,18(3):263-278. [13] YAO K,ZHOU J.Renewal reward process with uncertain interarrival times and random rewards[J].IEEE Transactions on Fuzzy Systems,2018,26(3):1757-1762. [14] GAO J W,YAO K,ZHOU J,et al.Reliability analysis of uncertain weighted k-out-of-n systems[J].IEEE Transactions on Fuzzy Systems,2018,26(5):2663-2671. [15] WEN M L,KANG R.Reliability analysis in uncertain random system[J].Fuzzy Optimization and Decision Making,2016,15(4):491-506. [16] YAO K,GAO J W.Uncertain random alternating renewal process with application to interval availability[J].IEEE Transactions on Fuzzy Systems,2015,23(5):1333-1342. [17] YAO K,ZHOU J.Uncertain random renewal reward process with application to block replacement policy[J].IEEE Transactions on Fuzzy Systems,2016,24(6):1637-1646. [18] ZENG Z G,WEN M L,KANG R.Belief reliability:A new metrics for products' reliability[J].Fuzzy Optimization and Decision Making,2013,12(1):15-27. [19] ZHANG Q Y,KANG R,WEN M L.Belief reliability for uncertain random systems[J].IEEE Transactions on Fuzzy Systems, 2018,26(6):3605-3614. [20] ZHANG Q Y,ZENG Z G,ZIO E,et al.Probability box as a tool to model and control the effect of epistemic uncertainty in multiple dependent competing failure processes[J].Applied Soft Computing,2017,56:570-579. [21] 潘刚,尚朝轩,梁玉英,等.考虑认知不确定的雷达功率放大系统可靠性评估[J].北京航空航天大学学报,2016,42(6):1185-1194.PAN G,SHANG C X,LIANG Y Y,et al.Reliability evaluation of radar power amplification system considering epistemic uncertainty[J].Journal of Beijing University of Aeronautics and Astronautics,2016,42(6):1185-1194(in Chinese). [22] LI X Y,WU J P,LIU L,et al.Modeling accelerated degradation data based on the uncertain process[J].IEEE Transactions on Fuzzy Systems,2019,27(8):1532-1542. [23] LIU B L,ZHANG Z Q,WEN Y Q.Reliability analysis for devices subject to competing failure processes based on chance theory[J].Applied Mathematical Modelling,2019,75:398-413. [24] 康锐,等.确信可靠性理论与方法[M].北京:国防工业出版社,2020.KANG R,et al.Belief reliability theory and methodology[M].Beijing:National Defense Industry Press,2020(in Chinese). [25] 师海燕,魏淳,温艳清,等.不确定环境下竞争失效系统的可靠性分析[J/OL].北京航空航天大学学报,2020(2020-03-24)[2020-04-13].https://doi.org/10.13700/j.bh.1001-5965.2019.0656. SHI H Y,WEI C,WEN Y Q,et al.Reliability analysis for systems subject to competing failure processes based on uncertainty theory[J/OL].Journal of Beijing University of Aeronautics and Astronautics,2020(2020-03-24)[2020-04-13].https://doi.org/10.13700/j.bh.1001-5965.2019.0656(in Chinese). [26] ZHAO X,CAI K,WANG X Y,et al.Optimal replacement policies for a shock model with a change point[J].Computers & Industrial Engineering,2018,118:383-393. [27] ERYILMAZ S,KAN C.Reliability and optimal replacement policy for an extreme shock model with a change point[J].Reliability Engineering and System Safety,2019,190:106513. [28] LIU B D.Toward uncertain finance theory[J].Journal of Uncertainty Analysis and Applications,2013,1:1-15. [29] LIU Y H.Uncertain random variables:A mixture of uncertainty and randomness[J].Soft Computing,2013,17(4):119-124. [30] AGRAWAL G P,DUTTA N K.Semiconductor laser[M].Berlin:Springer,2013. |