A Note on Convergence of Fuzzy Variables

  • Hong, Dug-Hun (Department of Mathematics, Myongji University) ;
  • Kim, Kyung-Tae (Department of Electronics and Electrical Information Engineering, Kyungwon University)
  • Published : 2005.11.30

Abstract

Liu[Fuzzy Optimization and Decision Making, 2(2003), 87-100] proved that convergence in credibility does not imply convergence a.s. and convergence in mean does not imply convergence a.s. by giving counter-examples. But these examples are not true. In this note, we prove that convergence in credibility implies convergence a.s. and convergence in mean implies convergence a.s.

References

  1. Probability Theory Chow, Y.W.;Teicher, H.
  2. Fuzzy Optimization and Decision Making v.2 Inequalities and convergence concepts of fuzzy and rough variables Liu, B.