Random fuzzy delayed renewal processes

Shunqin Li, Qiang Shen, Tang Wansheng, Zhao Ruiqing

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)
197 Downloads (Pure)


In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated, and useful theorems such as the elementary renewal theorem, Blackwell renewal theorem and Smith key renewal theorem in a conventional delayed renewal process are extended to their counterparts for random fuzzy delayed renewal processes.
Original languageEnglish
Pages (from-to)681-690
Number of pages10
JournalSoft Computing
Issue number7
Publication statusPublished - 2009


  • Fuzzy variables
  • Random fuzzy variables
  • Renewal processes
  • Delayed renewal processes
  • Random fuzzy delayed renewal processes


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