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Issue:Properties of the intuitionistic fuzzy implication →188

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Title of paper: Properties of the intuitionistic fuzzy implication →188
Author(s):
Krassimir Atanassov
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
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
krat@bas.bg
Eulalia Szmidt
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
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute, Polish Academy of Sciences, Acad. G. Bonchev Str., Bl. 2, Sofia-1113, Bulgaria
Warsaw School of Information Technology, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Nora Angelova
Department of Computer Informatics, Faculty of Mathematics and Informatics, Sofia University, 5, James Bourchier Blvd. 1164 Sofia, Bulgaria
Published in: "Notes on IFS", Volume 23, 2017, Number 5, pages 1—6
Download:  PDF (111 Kb  Kb, Info)
Abstract: In [5], the new intuitionistic fuzzy implication →188 is defined and some of its properties are studied. Here, new propertiеs of the new implication are studied.
Keywords: Implication, Intuitionistic fuzzy implication, Intuitionistic fuzzy logic.
AMS Classification: 03E72
References:
  1. Atanassov, K. (1988) Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, Reprinted: Int J Bioautomation, 2016, 20(S1), S17–S26.
  2. Atanassov, K. (2017) Intuitionistic Fuzzy Logics, Springer, Cham.
  3. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013) On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  4. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017) Intuitionistic fuzzy implication →187, Notes on Intuitionistic Fuzzy Sets, 23(2), 37–43.
  5. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017) Intuitionistic fuzzy implication →188, Notes on Intuitionistic Fuzzy Sets, 23(1), 6–13.
  6. Atanassov, K., Szmidt, E., & Angelova, N. (2017) Properties of the intuitionistic fuzzy implication →187, Notes on Intuitionistic Fuzzy Sets, 23(3), 3–8.
  7. Atanassova, L. (2017) Intuitionistic fuzzy implication →189, Notes on Intuitionistic Fuzzy Sets, 23(1), 14–20.
  8. Atanassova, L. (2017) Properties of the intuitionistic fuzzy implication →189. Notes on Intuitionistic Fuzzy Sets, 23(4), 10–14
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  12. Mendelson, E. (1964) Introduction to Mathematical Logic, Princeton, NJ: D. Van Nostrand.
  13. Plisko, V. (2009) A survey of propositional realizability logic, The Bulletin of Symbolic Logic, 15(1), 1–42.
  14. Rasiova H. & Sikorski, R. (1963) The mathematics of Metamathematics, Pol. Acad. of Sci., Warszawa.
  15. Rose, G. F. (1953) Propositional calculus and realizability, Transactions of the American Mathematical Society, 75, 1–19.
  16. Tabakov, M. (1986) Logics and Axiomatics, Nauka i Izkustvo, Sofia (in Bulgarian).
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