Renewal Reward Processes with Inter-arrival Time in the Fuzzy Sense and Its Application

到達時間模糊化之更新報酬過程及其應用

施登山(Teng-San Shih)

《文大商管學報》 9卷1期 (2004/04) Pp. 27-38

https://doi.org/10.30163/BR.200404.0002

摘要

本論文考慮當到達時間模糊化的更新報酬過程之情形，其中我們可以證明一個結果（性質），即當到達時間模糊化的長期平均報酬會剛好是在一個循環的報酬期望值除以模糊情形下循環長度的期望值。

關鍵字

模糊集合 ； 模糊隨機變數 ； 強大數法則 ； 模糊更新報酬過程 ； 更新報酬過程

並列摘要

In this paper, we consider a renewal reward processes with inter-arrival time in the fuzzy sense and prove a proposition which the long run average reward with inter-arrival time in the fuzzy sense is just the expected reward earned during a cycle divided by the expected length of cycle in the fuzzy sense.

並列關鍵字

fuzzy set ； fuzzy random variable ； the strong law of large number ； a fuzzy renewal process ； a renewal reward process

參考文獻

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