Uniform convergence of fuzzy random renewal process
type: Item
instance of: scholarly article
title: Uniform convergence of fuzzy random renewal process
zbMATH Open document ID: 1214.60003
author: Dug Hun Hong
published in: Fuzzy Optimization and Decision Making
publication date: 2010-10-08T00:00:00Z
review text: Starting point is the paper by \textit{R. Zhao, W. Tang} and \textit{C. Wang} [Fuzzy Optim. Decis. Mak. 6, No. 3, 279--295 (2007; Zbl 1138.60057)] and their results on Fuzzy random renewal processes and Fuzzy random renewal reward processes. In this paper the author studies the convergence of fuzzy random renewal variable and of the total rewards earned by time \(t\) with respect to the extended Hausdorff metrics. Using this results, he presents some new versions of the fuzzy random elementary renewal theorem and the fuzzy random renewal reward theorem.
reviewed by: Wolfgang Näther
Mathematics Subject Classification ID: 60A86
Mathematics Subject Classification ID: 60K05
zbMATH DE Number: 5797489
zbMATH Keywords: fuzzy renewal process
zbMATH Keywords: fuzzy renewal reward process
zbMATH Keywords: fuzzy random variable
MaRDI profile type: Publication
full work available at URL: s10700-010-9085-y
OpenAlex ID: W2081777815
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DOI: 10.1007/S10700-010-9085-Y
description: scientific article; zbMATH DE number 5797489