Abstract
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 language | English |
|---|---|
| Pages (from-to) | 681-690 |
| Number of pages | 10 |
| Journal | Soft Computing |
| Volume | 13 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2009 |
Keywords
- Fuzzy variables
- Random fuzzy variables
- Renewal processes
- Delayed renewal processes
- Random fuzzy delayed renewal processes