Journal of the Korean Data and Information Science Society
- Volume 17 Issue 1
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- Pages.195-204
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- 2006
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- 1598-9402(pISSN)
Renewal Reward Processes with Fuzzy Rewards and Fuzzy Inter-arrival Times
- Hong, Dug-Hun (Department of Mathematics, Myongji University) ;
- Do, Hae-Young (Daegu-Kyungbuk WISE Center of Catholic University of Daegu) ;
- Park, Jin-Myeong (Division of Information and Computer Sciences, Dankook University)
- Published : 2006.02.28
Abstract
In this paper, we consider a renewal process in which both the inter-arrival times and rewards are fuzzy random variables. We prove the uniform levelwise convergence of fuzzy renewal and fuzzy renewal rewards. These results improve the result of Popova and Wu[European J. Oper. Research 117(1999), 606-617] and the main result of Hwang [Fuzzy Sets and Systems 116 (2000), 237-244].