J4 ›› 2012, Vol. 47 ›› Issue (6): 111-116.

• Articles • Previous Articles     Next Articles

Ideal statistical convergence and ideal lacunary statistical convergence for a sequence of fuzzy numbers

GONG Zeng-tai, LIU Xiao-xia   

  1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2011-12-04 Online:2012-06-20 Published:2012-06-26

Abstract:

The concepts of the ideal statistical convergence and ideal lacunary statistical convergence for a sequence of fuzzy numbers are defined, and their relationship is also investigated. In addition, the relationship between statistical convergence (lacunary statistical convergence) and ideal statistical convergence (ideal lacunary statistical convergence) for a sequence of fuzzy numbers is discussed.

Key words: sequence of fuzzy numbers; ideal statistical convergence; ideal lacunary statistical convergence

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