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:On one type of intuitionistic fuzzy modal operators

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/11/5/24-28
Title of paper: On one type of intuitionistic fuzzy modal operators
Author(s):
Krassimir Atanassov
CLBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
krat@bas.bg
Published in: "Notes on IFS", Volume 11, 2005, Number 5, pages 24-28
Download:  PDF (100  Kb, Info)
Abstract: Intuitionistic Fuzzy Sets (IFSs, see [2]) were defined as extensions of the ordinary fuzzy sets. All results which are valid for the fuzzy sets can be transformed here, too. Also, all researches, for which the apparatus of the fuzzy sets can be used, can be described in the terms of the IFSs.

On the other hand, over the IFSs there have been defined not only operations and relations similar to the ordinary fuzzy set ones, but also operators that cannot be defined in case of ordinary fuzzy sets.

In the present paper we shall discuss two modal-like type of operators.

Keywords: Intuitionistic fuzzy sets, Intuitionistic fuzzy operators.
AMS Classification: 03E72.
References:
  1. Atanassov K., Some operators on intuitionistic fuzzy sets, Proceedings of the First International Conference on Intuitionistic Fuzzy Sets (J. Kacprzyk and K. Atanassov Eds.), Sofia, Oct 18-19, 1997; Notes on Intuitionistic Fuzzy Sets, Vol. 3 (1997), No. 4, 28-33.
  2. K. Atanassov, Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
  3. Dencheva, K. Extension of intuitionistic fuzzy modal operators [math]\displaystyle{ \boxplus }[/math] and [math]\displaystyle{ \boxtimes }[/math]. Proceedings the Second Int. IEEE Symposium: Intelligent Systems, Varna, June 22-24, 2004, Vol. 3, 21-22.
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.