Renewal process with T-related fuzzy inter-arrival times and fuzzy rewards

  • Authors:
  • Dug Hun Hong

  • Affiliations:
  • Department of Mathematics, Myongji University, Kyunggi 449-728, South Korea

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2006

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Abstract

In this paper, we consider a renewal process in which the inter-arrival times and rewards are characterized as fuzzy variables under t-norm-based fuzzy operations. A T-related fuzzy renewal theorem and a fuzzy renewal reward theorem are proved using a law of large numbers for fuzzy variables.