8-9 October 2020 • Burgas, Bulgaria

Submission: 15 May 2020 • Notification: 31 May 2020 • Final Version: 15 June 2020

Issue:On the law of large numbers for IF-events

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Revision as of 18:36, 4 February 2014 by Vassia Atanassova (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search
Title of paper: Taylor's theorem for functions, defined on Atanassov IF-sets
Beloslav Riečan
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava
riecanAt sign.pngmat.savba.skriecanAt sign.pngfpv.umb.sk
Presented at: 17th International Conference on Intuitionistic Fuzzy Sets, 1–2 November 2013, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 19, 2013, Number 3, pages 42—46
Download: Download-icon.png PDF (142  Kb, Info) Download-icon.png
Abstract: A family F of IF-events is considered with a state m : F → [0, 1] and a version of the law of large numbers is presented for sequences of F-valued observables.
Keywords: Intuitionistic fuzzy event, Law of large numbers.
AMS Classification: 03E72
  1. Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg, 1999.
  2. Ciungu, L. C., B. Riečan. General form of probabilities on IF-sets. Proc. of WILF’2009, Palermo, Italy. Lecture Notes in Computer sciences, Springer, Berlin, Vol. 5571, 2009, 101–107.
  3. Ciungu, L. C., B. Riečan. Representation theorem for probabilities on IFS-events. Information Sciences Vol. 180, 2010, 793–798.
  4. Grzegorzewski, P., E. Mrówka. Probability of intuitionistic fuzzy events. In: Soft Methods in Probability, Statistics and Data Analysis (P. Grzegorzewski et al. eds.), Springer, New York, 2002, 105–115.
  5. Riečan, B. A descriptive definition of the probability on intuitionistic fuzzy sets. Proc. of EUSFLAT’ 03 (M. Wagenecht and R. Hampet eds.), Zittau - Goerlitz Univ. Appl. Sci Dordrecht, 2003, 263–266.
  6. Riečan, B. On a problem of Radko Mesiar (in preparation)
  7. Riečan, B. Analysis of fuzzy logic models (in preparation)

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