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Issue:On one type of intuitionistic fuzzy modal operators

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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 Intuitionistic Fuzzy Sets", Volume 11, 2005, Number 5, pages 24-28
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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.
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