On the level of convergence of sequence of fuzzy random variables

  • Authors:

  • J. Earnest Lazarus Piriyakumar;M. Vasuky

  • Affiliations:

  • Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar, S. India;Department of Mathematics, Seethalakshmi Achi College for Women, Pallathur, S. India

  • Venue:
  • Neural, Parallel & Scientific Computations
  • Year:
  • 2010

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Abstract

In this paper we introduce the notion of levelwise convergence of sequence of fuzzy random variables. We derive equivalent conditions for left quasi uniform convergence of fuzzy random variables. Conditions are obtained for eventually equi-right continuity for the sequence of fuzzy random variables. A necessary and sufficient condition is obtained under which for a sequence of fuzzy random variables {Xn} satisfying lim n → ∞ Xn,αL = Vα and lim n → ∞ Xn,αU = Wα. where Vα and Wα are the pair of random variables for α ∈ [0,1] that determines a fuzzy random variable.