Journal of the Korean Data and Information Science Society

한국데이터정보과학회 (The Korean Data and Information Science Society)
권호 표지

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)
  • 발행 : 2005.11.30
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초록

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.

키워드

참고문헌

  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.