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Issue:The most general form of one type of intuitionistic fuzzy modal operators. Part 2

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Title of paper: The most general form of one type of intuitionistic fuzzy modal operators. Part 2
Author(s):
Krassimir Atanassov
CLBME - Bulg. Academy of Sci., P.O.Box 12, Sofia-1113, Bulgaria
krat@bas.bg
Presented at: 12th ICIFS, Sofia, 17—18 May 2008
Published in: Conference proceedings, "Notes on IFS", Volume 14 (2008) Number 1, pages 27—32
Download:  PDF (84  Kb, Info)
Abstract: Two years ago the author published a paper under the same name, thinking that the operator, defined in it was "the most general form of one type of intuitionistic fuzzy modal operators". Now, he saw that then he had not been right, because the operator introduced by him can be extended further. Now he again believes that the new operator is "the most general form of ...", but he would not assert again that this is really true.


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. Atanassov K., Intuitionistic Fuzzy Sets, Springer Physica-Verlag, Berlin, 1999.
  3. Atanassov K. On one type of intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 5, 24-28.
  4. Atanassov K. The most general form of one type of intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 2, 36-38.
  5. Atanassov K. Some properties of the operators from one type of intuitionistic fuzzy modal operators. Advanced Studies on Contemporary Mathematics, Vol. 15, 2007, No. 1, 13-20.
  6. Atanassov, K. and D. Dimitrov, On the negations over intuitionistic fuzzy sets. Part 1. Annual of "Informatics" Section Union of Scientists in Bulgaria Volume 1, 2008, 49-58.
  7. Atanassova, L., On an intuitionistic fuzzy implication from Kleene-Dienes type. Advanced Studies in Contemporary Mathematics (in press).
  8. Atanassova, L., Modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Advanced Studies in Contemporary Mathematics, Vol. 16, No. 2, 155-160.
  9. Atanassova, L., New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Cybernetics and Information technologies, Vol. 8, No. 3, 27-31.
  10. Atanassova, L., New modifications of an intuitionistic fuzzy implication from Kleene-Dienes type. Part 2. Annual of "Informatics" Section Union of Scientists in Bulgaria, Volume 1, 2008, 59-64.
  11. Dencheva K. Extension of intuitionistic fuzzy modal operators ⊞ and ⊠. Proceedings of the Second Int. IEEE Symposium: Intelligent Systems, Varna, June 22-24, 2004, Vol. 3, 21-22.
  12. Feis, Modal Logics, Gauthier-Villars, Paris, 1965.
  13. Cuvalcioglu, G. Some properties of Eα,β operator. Advanced Studies on Contemporary Mathematics, Vol. 14, 2007, No. 2, 305-310.
Citations:
  1. Atanassov K., Theorem for equivalence of the two most general intuitionistic fuzzy modal operators, "Notes on IFS", Volume 15 (2009) Number 1, pages 26—31

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