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Lacunary statistical convergence of sequences of fuzzy numbers

✍ Scribed by Fatih Nuray

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 158 KB
Volume: 99
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(98)00031-1

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✦ Synopsis

The sequence X = {Ark } of fuzzy numbers is statistically convergent to the fuzzy number 3(o provided that for each e ~ 0 lim l{the number ofk~e} = 0.
n In this paper we study a related concept of convergence in which the set {k: k<~n} is replaced by {k: kr-1 -~k<~kr} for some lacunary sequence {k~}. Also we introduce the concept of lacunary statistically Cauchy sequence and show that it is equivalent to the lacunary statistical convergence. In addition, the inclusion relations between the sets of statistically convergent and lacunary statistically convergent sequences of fuzzy numbers are given.

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