In this paper, we construct fuzzy renewal processes involving fuzzy random variables. We first extend the renewal processes to the fuzzy renewal processes where interarrival times, rewards, and stopping times are all fuzzy random variables. According to these fuzzy renewal processes, we then extend
A theorem of renewal process for fuzzy random variables and its application
β Scribed by Chao-Ming Hwang
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 100 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
The fuzzy set was introduced by Zadeh (1965) and the concept of fuzzy random variables was provided by Kwakernaak (1981). Sequences of independent and identical distributed fuzzy random variables were considered by Kruse (1982). He also showed the strong law of large numbers for fuzzy random variables. In this paper, we consider the stochastic process for fuzzy random variables and prove a theorem for fuzzy rate of a fuzzy renewal process.
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