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Issue:The ⊖ operation over intuitionistic fuzzy pairs

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Title of paper: The ⊖ operation over intuitionistic fuzzy pairs
Author(s):
Peter Vassilev
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
peter.vassilev@gmail.com
Simeon Ribagin
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
simribagin@gmail.com
Presented at: 25th ICIFS, Sofia, 9—10 September 2022
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 3, pages 223–227
DOI: https://doi.org/10.7546/nifs.2022.28.3.223-227
Download:  PDF (131  Kb, Info)
Abstract: In this paper we introduce an inverse operation to the operation “+” defined over intuitionistic fuzzy pairs. We investigate the main properties of the introduced operation and compared it to other “−” operations previously introduced over intuitionistic fuzzy pairs.
Keywords: Intuitionistic fuzzy pairs, Operation, Feasible set.
AMS Classification: 03E72.
References:
  1. Atanassov, K. (1983). Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci.-Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6. (in English).
  2. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  3. Traneva, V., Atanassova, V., & Tranev, S. (2019). Index Matrices as a Decision-Making Tool for Job Appointment. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science, Vol. 11189, 158–166. Springer, Cham.
  4. Traneva, V., Tranev, S., & Atanassova, V. (2019). An Intuitionistic Fuzzy Approach to the Hungarian Algorithm. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science, Vol. 11189, 167–175. Springer, Cham.
  5. Vassilev, P., & Ribagin, S. (2020). A remark on the operations "+" and ":" between intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 26(1), 1–7.
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