Submit your research to the International Journal "Notes on Intuitionistic Fuzzy Sets". Contact us at nifs.journal@gmail.com

Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.

Issue:Std-Statistical convergence in intuitionistic fuzzy normed space

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/22/2/52-58
Title of paper: std-Statistical convergence in intuitionistic fuzzy normed space
Author(s):
Ulaş Yamanci
Department of Mathematics, Süleyman Demirel University, 32260, Isparta, Turkey
ulasyamanci@sdu.edu.tr
Mehmet Gürdal
Department of Mathematics, Süleyman Demirel University, 32260, Isparta, Turkey
gurdalmehmet@sdu.edu.tr
Presented at: International Conference on Intuitionistic Fuzzy Sets Theory and Applications, 20–22 April 2016, Beni Mellal, Morocco
Published in: "Notes on IFS", Volume 22, 2016, Number 2, pages 52—58
Download:  PDF (127  Kb, Info)
Abstract: In this paper, we introduce the notion of std-statistical convergence and std-statistical Cauchy with respect to the intuitionistic fuzzy norm, study their relationship, and obtain some important results.
Keywords: Intuitionistic fuzzy normed space, std-statistical convergence, std-statistical Cauchy sequence
AMS Classification: 03E72
References:
  1. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
  2. Atanassov, K. T., Pasi, G. & Yager, R. (2002) Intuitionistic fuzzy interpretations of multi-person multicriteria decision making. Proceedings of 2002 First International IEEE Symposium Intelligent Systems, 1, 115–119.
  3. Fridy, J. A. (1985) On statistical convergence, Analysis, 5, 301–313.
  4. George, A., & Veeramani, P. (1994) On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64(3), 395–399
  5. Gregori, V., Minana, J. (2015) std-Convergence in fuzzy metric spaces, Fuzzy Sets and Systems, 267, 140–143.
  6. Karakus, S., Demirci, K., Duman O. (2008) Statistical convergence on intuitionistic fuzzy normed spaces, Chaos Solitons Fractals, 35, 763–769.
  7. Morillas, S., & Sapena, A. (2013) On standard Cauchy sequences in fuzzy metric spaces. Proceedings of the Conference in Applied Topology, WiAT'13, 101–108.
  8. Mursaleen, M., & Mohiuddine, S. A. (2009) On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space, J. Comput. Appl. Math., 233, 142–149.
  9. Park, J. H. (2004) Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals, 22, 1039–1046.
  10. Ricarte, L. A., & Romaguera, S. (2014) A domain-theoretic approach to fuzzy metric spaces, Topol. Appl., 163, 149–159.
  11. Saadati, R., & Park, J. H. (2006) On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27, 331–344.
  12. Savaş, E. & Gürdal, M. (2015) A generalized statistical convergence in intuitionistic fuzzy normed spaces, Science Asia, 41, 289–294.
  13. Savaş, E. & Gürdal, M. (2014) Certain summability methods in intuitionistic fuzzy normed spaces, Journal of Intelligent and Fuzzy Systems, 27(4), 1621–1629.
  14. Schweizer, B., & Sklar, A. (1960) Statistical metric spaces, Pacific J. Math., 10, 313–334.
  15. Sen, M., & Debnath, P. (2011) Lacunary statistical convergence in intuitionistic fuzzy n-normed linear spaces, Math. Comput. Modelling, 54, 2978–2985.
  16. Steinhaus, H. (1951) Sur la convergence ordinarie et la convergence asymptotique, Colloq. Math., 2, 73–74.
  17. Zadeh, L. A. (1965) Fuzzy sets, Inform. Control, 8, 338–353.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.