A Note on Renewal Reward Process with Fuzzy Rewards

  • Hong, Dug-Hun (Department of Mathematics, Myongji University) ;
  • Kim, Jeong-Jin (Department of Mathematics, Myongji University) ;
  • Do, Hae-Young (Department of Statistics, Kyungpook National University)
  • Published : 2005.02.28

Abstract

In recently, Popova and Wu(1999) proved a theorem which presents the long-run average fuzzy reward per unit time. In this note, we improve this result. Indeed we will show uniform convergence of a renewal reward processes with respect to the level ${\alpha}$ modeled as a fuzzy random variables.