一类模糊过程的反射原理和首达时

Reflection Principle and First Passage Time of General Liu Process

刘过程是模糊过程的一种。标准刘过程是一种特殊的刘过程。这篇论文里,在可信性理论和模糊过程的基础上,根据标准刘过程的反射原理,证明了刘过程{at+bCt,t≥0}的反射原理。进而根据标准刘过程的首达时和隶属函数,得到了刘过程{at+bCt,t≥0}的首达时的隶属函数。

Liu process is a type of fuzzy process. Standard Liu process isa special Liu process. In this paper, based on credibility theory and fuzzy process, reflection principle and the first passage membership function of standard Liu process, reflection principle of Liu process {at＋bCt,t≥0} is proved and the first passage membership function is given. Furthermore the first passage membership function of Liu process {at＋bCt,t≥0} is obtained.