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, File 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:
|
- 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.
- Atanassov, K. (2017) Intuitionistic Fuzzy Logics, Springer, Cham.
- 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. (2017) Intuitionistic fuzzy implication →187, Notes on Intuitionistic Fuzzy Sets, 23(2), 37–43.
- Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017) Intuitionistic fuzzy implication →188, Notes on Intuitionistic Fuzzy Sets, 23(1), 6–13.
- Atanassov, K., Szmidt, E., & Angelova, N. (2017) Properties of the intuitionistic fuzzy implication →187, Notes on Intuitionistic Fuzzy Sets, 23(3), 3–8.
- Atanassova, L. (2017) Intuitionistic fuzzy implication →189, Notes on Intuitionistic Fuzzy Sets, 23(1), 14–20.
- Atanassova, L. (2017) Properties of the intuitionistic fuzzy implication →189. Notes on Intuitionistic Fuzzy Sets, 23(4), 10–14
- Van Atten, M. (2004) On Brouwer, Wadsworth, Behnout.
- Brouwer, L. E. J. (1975) Collected Works, Vol. 1, North Holland, Amsterdam.
- Van Dalen, D. (Ed.) (1981) Brouwer’s Cambridge Lectures on Intuitionism, Cambridge Univ. Press, Cambridge.
- Mendelson, E. (1964) Introduction to Mathematical Logic, Princeton, NJ: D. Van Nostrand.
- Plisko, V. (2009) A survey of propositional realizability logic, The Bulletin of Symbolic Logic, 15(1), 1–42.
- Rasiova H. & Sikorski, R. (1963) The mathematics of Metamathematics, Pol. Acad. of Sci., Warszawa.
- Rose, G. F. (1953) Propositional calculus and realizability, Transactions of the American Mathematical Society, 75, 1–19.
- Tabakov, M. (1986) Logics and Axiomatics, Nauka i Izkustvo, Sofia (in Bulgarian).
|
Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|