| Title of paper:
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Modal forms of Fodor's type of intuitionistic fuzzy implication
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| Author(s):
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| Eulalia Szmidt
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| Systems Research Institute - Polish Academy of Sciences, 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
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| kacprzyk@ibspan.waw.pl
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| Krassimir Atanassov
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Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas–8000, Bulgaria
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| krat@bas.bg
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| Presented at:
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11th International Workshop on Intuitionistic Fuzzy Sets, Banská Bystrica, Slovakia, 30 Oct. 2015
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 5, pages 1–6
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| Download:
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 PDF (137 Kb, File info)
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| Abstract:
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Herewith proposed are four new intuitionistic fuzzy implications, based on the Fodor’s type of intuitionistic fuzzy implication, introduced earlier by the authors. These four implications are modifications of the first implication, but in modal forms. Some of their properties are discussed.
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| Keywords:
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Implication, Intuitionistic fuzzy logic, Intuitionistic logic, Negation.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. T. (1988) Two Variants of Intuitionistic Fuzzy Propositional Calculus, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, Preprint IM-MFAIS-5-88. Reprinted: Int. J. Bioautomation, Vol. 19, 2015, Suppl. 2, S146–S155.
- Atanassov, K. (2012) On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
- Atanassov, K., E. Szmidt, & J. Kacprzyk (2013) On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Atanassov, K. (2015) On intuitionistic fuzzy implications. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, (in press).
- Atanassov, K., E. Szmidt & J. Kacprzyk. (2013) On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Atanassov, K., E. Szmidt & J. Kacprzyk. (2015) On Fodors type of intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21(2), 25–34.
- Fodor, J. & R. Roubens. (1994) Fuzzy Preference Modelling and Multicriteria Decision Support, Springer.
- Rasiova H. & R. Sikorski. (1963) The Mathematics of Metamathematics. Polish Academy of Sciences, Warszawa.
- Tabakov, M. (1986) Logics and axiomatics. Nauka i Izkustvo, Sofia (in Bulgarian).
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