【摘要】 研究了随机更新过程在Sugeno测度空间上的推广这一问题。基于Sugeno测度理论,在模糊环境下讨论了关于独立时间间距的更新过程;证明了一些关于模糊更新变量的极限理论;提出并证明了模糊基本更新定理;研究了更新报酬过程并给出了相关理论的证明。这一工作把经典的随机更新过程的相应理论推广到了Sugeno测度空间上,扩大了随机更新过程的研究范围和应用领域。更多还原

【Abstract】 The purpose of this paper is to investigate renewal process on Sugeno measure space.Based on Sugeno measure theory,we discuss a renewal process for independent interarrival times in fuzzy environment.Some limit theorems on renewal variable are obtained and a fuzzy elementary renewal theorem is proved.The study of renewal reward process and the proof of the relevant theory are also given in the paper.All obtained results are natural extensions of the classical stochastic renewal process to the case where the measure tool is fuzzy.This work generalizes the research and applications of stochastic renewal process.更多还原