A note on double lacunary statistical(sigma)-convergence of fuzzy numbers
✍ Scribed by Ekrem Savaş
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 203 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1432-7643
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📜 SIMILAR VOLUMES
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~}
of a sequence a b s t r a c t Recently, Aytar et al., The core of a sequence of fuzzy numbers, Fuzzy Sets and Systems 159 ( ) 3369-3379 introduced the concept of the core for sequences of fuzzy numbers and gave a characterization for this concept. Aytar also introduced two different definitions of e