On the Notion of Uniform Integrability and Mean Convergence Theorem for Fuzzy Random Variables


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Authors

  • J. Earnest Lazarus Piriyakumar Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar, Tamilnadu, India
  • R. Deepa Department of Mathematics, E.G.S.Pillay Engineering College, Nagapattinam, Tamilnadu, India

Keywords:

Fuzzy random variables, uniform integrability, Fuzzy numbers, Fuzzy valued functions

Abstract

In this paper the convergence criterion of fuzzy random variable is investigated. An attempt is made to study the equivalence relation of uniform integrability of fuzzy random variables. Mean convergence theorem, Lebesgue dominated convergence theorem and Mean Ergodic theorem for the case of fuzzy random variable are introduced.

 

Author Biographies

J. Earnest Lazarus Piriyakumar, Department of Mathematics, Tranquebar Bishop Manickam Lutheran College, Porayar, Tamilnadu, India

 

 

R. Deepa, Department of Mathematics, E.G.S.Pillay Engineering College, Nagapattinam, Tamilnadu, India

 

 

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Published

15-05-2016

How to Cite

J. Earnest Lazarus Piriyakumar, & R. Deepa. (2016). On the Notion of Uniform Integrability and Mean Convergence Theorem for Fuzzy Random Variables. International Journal of Mathematics And Its Applications, 4(2 - B), 137–143. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1035

Issue

Vol. 4 No. 2 - B (2016)

Section

Research Article

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