J4 ›› 2012, Vol. 50 ›› Issue (01): 35-43.

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Convergence of the Series of Fuzzy Numbers

ZHAO Zhitao1, WU Congxin2, HAO Cui\|xia1   

  1. 1. School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China;
    2. College of Science, Harbin Institute of Technology, Harbin 150001, China
  • Received:2011-03-03 Online:2012-01-26 Published:2012-03-06
  • Contact: ZHAO Zhitao E-mail:zhaozhitao0808@126.com

Abstract:

Using the concept of level sets of fuzzy numbers, we considered the convergence problems for the series of fuzzy numbers in the sense of the usual order relation. With regard to the convergence for the series of fuzzy numbers with positive terms, general terms and Leibniztype, we obtained the
 corresponding convergence tests respectively, so as to extend some basic properties of the classic series.

Key words: fuzzy number, series of fuzzy numbers, convergence, convergence test

CLC Number: 

  • O159