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Issue:A brief note on intuitionistic fuzzy operators

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Title of paper: A brief note on intuitionistic fuzzy operators
Author(s):
Jaydip Bhattacharya
Department of Mathematics, Bir Bikram Memorial College, Agartala, West Tripura, Pin-799004, India
jay73bhatta@gmail.com
Presented at: Proceedings of the 27th International Conference on Intuitionistic Fuzzy Sets, 5–6 July 2024, Burgas, Bulgaria
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 1, pages 9–17
DOI: https://doi.org/10.7546/nifs.2024.30.1.9-17
Download:  PDF (201  Kb, Info)
Abstract: The research on intuitionistic fuzzy sets gives an extra dimension in mathematics. It has been observed that some operators including the modal operators have very interesting properties in intuitionistic fuzzy sets. More important properties are investigated in this paper and new findings are obtained and proved.
Keywords: Intuitionistic fuzzy sets, Modal operators, Extension of operators.
AMS Classification: 54A40, 03E72.
References:
  1. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
  2. Atanassov, K. T. (1997). Some operators on intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(4), 28–33.
  3. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer Physica-Verlag, Berlin.
  4. Atanassov, K. T. (2005). On one type of intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, 11(5), 24–28.
  5. Atanassov, K. T. (2006). The most general form of one type of intuitionistic fuzzy modal operators. Notes on Intuitionistic Fuzzy Sets, 12(2), 36–38.
  6. Bhattacharya, J. (2021). Some results on certain properties of intuitionistic fuzzy sets. Journal of Fuzzy Extension and Applications, 2(4), 377–387.
  7. Bhattacharya, J. (2022). Several significant equalities on intuitionistic fuzzy operators. Notes on Intuitionistic Fuzzy Sets, 28(2), 132–148.
  8. Bhattacharya, J. (2023). Some new results on intuitionistic fuzzy operators. Notes on Intuitionistic Fuzzy Sets, 28(3), 247–260.
  9. Dencheva, K. (2004). Extension of intuitionistic fuzzy modal operators ⊞ and ⊠. Proceedings of the Second Int. IEEE Conference on Intelligent Systems, Varna, June 22–24, 2004, Vol. 3, 21–22.
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