Random Fuzzy Alternating Renewal Processes

Qiang Shen, Ruiqing Zhao, Wansheng Tang

Research output: Contribution to journalArticlepeer-review

10 Citations (SciVal)
158 Downloads (Pure)

Abstract

Random fuzzy theory offers an appropriate mechanism to model random fuzzy phenomena, with a random fuzzy variable defined as a function from a credibility space to a collection of random variables. Based on this theory, this paper presents the results of an investigation into the representation of properties of alternating renewal processes that are described by sequences of positive random fuzzy vectors. It provides a theorem on the limit value of the average chance of a given random fuzzy event in terms of 'system being on at time t'. The resultant model coincides with that attainable by stochastic analysis when the random fuzzy vectors degenerate to random vectors.
Original languageEnglish
Pages (from-to)139-147
Number of pages9
JournalSoft Computing
Volume13
Issue number2
DOIs
Publication statusPublished - 2009

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