Name
Abstract | ||
|---|---|---|
This paper studies a renewal reward process with fuzzy random interarrival times and rewards under the @?-independence associated with any continuous Archimedean t-norm @?. The interarrival times and rewards of the renewal reward process are assumed to be positive fuzzy random variables whose fuzzy realizations are @?-independent fuzzy variables. Under these conditions, some limit theorems in mean chance measure are derived for fuzzy random renewal rewards. In the sequel, a fuzzy random renewal reward theorem is proved for the long-run expected reward per unit time of the renewal reward process. The renewal reward theorem obtained in this paper can degenerate to that of stochastic renewal theory. Finally, some application examples are provided to illustrate the utility of the result. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.ins.2009.08.016 | Inf. Sci. |
Keywords | Field | DocType |
fuzzy random interarrival time,positive fuzzy random variable,fuzzy random renewal reward,fuzzy realization,interarrival time,stochastic renewal theory,renewal reward theorem,limit theorem,independent fuzzy variable,renewal reward process,renewal theory,renewal process | Discrete mathematics,Renewal theory,Fuzzy logic,Fuzzy random variable,Mathematics,Markov renewal process | Journal |
Volume | Issue | ISSN |
179 | 23 | 0020-0255 |
Citations | PageRank | References |
12 | 0.63 | 24 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shuming Wang | 1 | 229 | 15.96 |
| Junzo Watada | 2 | 411 | 84.53 |