摘要
本文提出并讨论了有限清晰状态下不严格具有无后效性的向前m步的模糊无后效马尔科夫链,并从理论上研究了模糊无后效一步转移概率及其性质,以及与模糊无后效多步转移概率之间的关系─—类似于经典的柯尔莫哥洛夫方程。同时研究了模糊无后效马尔科夫链的有穷维分布律。
Raised and studied in this paper are some questions related to the loose,after-effectless,m-steps forward, fuzzy Markov chain in a state of limited clarity. A theoreti-cal study is made of the fuzzy aftereffectless one─step shift probability and its propertyas well as the relations between the said shift probability of one-step and m-steps─ the relations similar to the classical Kolmogorov equation. Also studied here is the lawgoverning the limited dimensional distribution of the fuzzy aftereffectless Markov chain.
关键词
随机过程
马尔科夫性
模糊无后效马尔科夫链
stochastic process
Markov property
fuzzy aftereffectless Markov chain