Fuzzy-valued Markov processes and their properties

✍ Scribed by Liu Puyin

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 506 KB
• Volume: 91
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00142-x

✦ Synopsis

If F denotes a set-valued random variable, we establish the relations among a-algebras induced by F. By the set-valued Markov process, we define the fuzzy-valued Markov process, and give its Castaing representation. Finally, we obtain a few of equivalent conditions of set-valued Markov processes and fuzzy-valued Markov processes, which are similar to classical ones of Markov processes.