Title of paper:
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Intuitionistic fuzzy implications revisited. Part 2
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Author(s):
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Nora Angelova
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Faculty of Mathematics and Informatics, Sofia University, 5 James Bourchier Blvd., Sofia 1164, Bulgaria
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nora.angelova@fmi.uni-sofia.bg
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Eulalia Szmidt
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Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland Warsaw School of Information Technology, ul. Newelska 6, 01-447 Warsaw, Poland
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szmidt@ibspan.waw.pl
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Janusz Kacprzyk
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Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland Warsaw School of Information Technology, ul. Newelska 6, 01-447 Warsaw, Poland
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kacprzyk@ibspan.waw.pl
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Krassimir Atanassov
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Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia 1113, Bulgaria
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krat@bas.bg
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Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 26 (2020), Number 1, pages 28–35
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Download:
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PDF (142 Kb, File info)
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Abstract:
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New conditions for correctness of the intuitionistic fuzzy implications are formulated and they are checked for the separate implications.
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Keywords:
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Intuitionistic fuzzy implication, Intuitionistic fuzzy logic.
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AMS Classification:
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03E72.
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References:
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- Angelova, N., & Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan's Axioms. Novel Developments in Uncertainty Representation and Processing. Advances in Intuitionistic Fuzzy Sets and Generalized Nets. (Atanassov, K.T., Castillo, O., et al., Eds.), 401, 97–110.
- Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham.
- Atanassov, K. (2019). On the new intuitionistic fuzzy implication → 191 . Notes on Intuitionistic Fuzzy Sets, 25 (4), 1–6.
- Atanassov, K., & Angelova, N. (2016). Properties of the intuitionistic fuzzy implications and negations. Notes on Intuitionistic Fuzzy Sets, 22 (3), 25–33.
- Atanassov, K., Angelova, N., Szmidt, E., & Kacprzyk, J. (2016). Properties of the intuitionistic fuzzy implication → 186 . Notes on Intuitionistic Fuzzy Sets, 22 (4), 6–12.
- Atanassov, K., Ribagin, S., Doukovska, L., & Atanassova, V. (2017). Intuitionistic fuzzy implication → 190 . Notes on Intuitionistic Fuzzy Sets, 23 (4), 79–83.
- Atanassov, K., Szmidt, E., & Angelova, N. (2017). Properties of the intuitionistic fuzzy implication → 187 . Notes on Intuitionistic Fuzzy Sets, 23 (3), 3–8.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19 (3), 1–13.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2016). New Fodor’s type of intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 22 (3), 1–8.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017). Intuitionistic fuzzy implication → 188. Notes on Intuitionistic Fuzzy Sets, 23 (1), 6–13.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017). Intuitionistic fuzzy implication → 187. Notes on Intuitionistic Fuzzy Sets, 23 (2), 37–43.
- Atanassov, K., Szmidt, E., Kacprzyk, J., & Angelova, N. (2019). Intuitionistic fuzzy implications revisited. Part 1. Notes on Intuitionistic Fuzzy Sets, 25 (3), 71–78.
- Atanassova, L. (2017). Intuitionistic fuzzy implication → 189 . Notes on Intuitionistic Fuzzy Sets, 23 (1), 14–20.
- Mendelson, E. (1964). Introduction to Mathematical Logic, Princeton, NJ: D. Van Nostrand.
- Vassilev, P., Ribagin, S., & Kacprzyk, J. (2018). A remark on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 24 (2), 1–7.
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