As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.

Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Martingale convergence theorem for a conditional intuitionistic fuzzy mean value

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/27/2/94-102
Title of paper: Martingale convergence theorem for a conditional intuitionistic fuzzy mean value
Author(s):
Katarína Čunderlíková
Mathematical Institute, Slovak Academy of Sciences, Stefanikova 49, 814 73 Bratislava, Slovakia
cunderlikova.lendelova@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 2, pages 94–102
DOI: https://doi.org/10.7546/nifs.2021.27.2.94-102
Download:  PDF (205  Kb, File info)
Abstract: The aim of this contribution is to show a representation of a conditional intuitionistic fuzzy mean value of intuitionistic fuzzy observables by a conditional mean value of random variables. We formulate a martingale convergence theorem for a conditional intuitionistic fuzzy mean value, too.
Keywords: Intuitionistic fuzzy observable, Intuitionistic fuzzy state, Product, Conditional intuitionistic fuzzy mean value, Martingale convergence theorem.
AMS Classification: 03B52, 60A86, 60A10, 60G48.
References:
  1. Atanassov, K. T. (1983). Intuitionistic fuzzy sets. VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Repr. Int. J. Bioautomation, 20, S1–S6.
  2. Atanassov, K. T. (2012). On Intuitionistic Fuzzy Sets, Springer, Berlin.
  3. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Physica Verlag, New York.
  4. Čunderlíková, K. (2021). Conditional intuitionistic fuzzy mean value. Axioms, 10(2), Article No. 97.
  5. Čunderlíková, K. (2020). A note on mean value and dispersion of intuitionistic fuzzy events. Notes on Intuitionistic Fuzzy Sets, 26 (4), 1–8.
  6. Lendelová, K. (2006). Conditional IF-probability. Advances in Soft Computing: Soft Methods for Integrated Uncertainty Modelling, 37, Springer, Berlin, Heidelberg, 275–283.
  7. Lendelová, K., & Rieˇcan, B. (2004). Weak law of large numbers for IF-events. Current Issues in Data and Knowledge Engineering, Bernard De Baets et al. eds., EXIT, Warszawa, 309–314.
  8. Riečan, B. (2012). Analysis of fuzzy logic models. Intelligent systems (V. Koleshko ed.), INTECH, 219–244.
  9. Riečan, B. (2006). On the probability and random variables on IF events. Applied Artifical Intelligence, Proc. 7th FLINS Conf. Genova, D. Ruan et al. eds., 138–145.
  10. Riečan, B., & Neubrunn, T. (1997). Integral, Measure, and Ordering, Kluwer Academic Publishers, Dordrecht and Ister Science, Bratislava.
  11. Zadeh, L.A. (1965). Fuzzy sets. Information and Control, 8, 338–358.
  12. Zadeh, L. A. (1968). Probability measures on fuzzy sets. Journal of Mathematical Analysis and Applications, 23, 421–427.
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.