| Title of paper:
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The ⊖ operation over intuitionistic fuzzy pairs
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| Author(s):
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| Peter Vassilev
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| Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| peter.vassilev@gmail.com
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| Simeon Ribagin
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| Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| simribagin@gmail.com
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| Presented at:
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25th ICIFS, Sofia, 9—10 September 2022
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 3, pages 223–227
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| DOI:
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https://doi.org/10.7546/nifs.2022.28.3.223-227
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| Download:
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 PDF (131 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy pairs, Operation, Feasible set.
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| AMS Classification:
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03E72.
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| References:
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- 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).
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- 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.
- 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.
- 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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