On fuzzy renewal processes for fuzzy random variables and extended theorems |
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| Authors: | Chao‐Ming Hwang Miin‐Shen Yang |
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| Affiliation: | 1. Department of Applied Mathematics, Chinese Culture University, Hwakang, Yangminshan, Taipei 11605, Taiwan;2. Department of Applied Mathematics, Chung Yuan Christian University, Chung‐Li 32023, Taiwan |
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| Abstract: | 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 some theorems of renewal processes to those in fuzzy renewal processes. These are elementary renewal theorem, asymptotic expected average reward, and Wald's equation. In each part, we also give examples for applications. © 2010 Wiley Periodicals, Inc. |
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