References
- Probability Theory Chow, Y.W.;Teicher, H.
- Fuzzy Optimization and Decision Making v.2 Inequalities and convergence concepts of fuzzy and rough variables Liu, B.
Journal of the Korean Data and Information Science Society
- Volume 16 Issue 4
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- Pages.1013-1015
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- 2005
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- 1598-9402(pISSN)
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.