Title of paper:
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Properties of the intuitionistic fuzzy implication →186
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Author(s):
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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
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krat@bas.bg
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Nora Angelova
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Institute of Biophysics and Biomedical Engineerin, Bulgarian Academy of Sciences, Acad. G. Bonchev str., bl. 105, 1113 Sofia, Bulgaria
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nora.angelova@biomed.bas.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
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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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Presented at:
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3rd International Intuitionistic Fuzzy Sets Conference, 9 Aug – 1 Sep 2016, Mersin, Turkey
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 4, pages 6—12
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Download:
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PDF (131 Kb, File info)
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Abstract:
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In [8], a new Fodor's type of intuitionistic fuzzy implication, numbered as →186, was defined and some of its properties were studied. The present paper is a continuation of the previous one. New interesting properties of implication →186 are formulated and checked.
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Keywords:
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Implication, 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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- Atanassov, K. (1988) Two variants of intuitonistc fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets. Springer, Heidelberg.
- Atanassov, K. (2012) On Intuitionistic Fuzzy Sets. Springer, Berlin.
- Atanassov K. (2014) On Intuitionistic Fuzzy Logics: Results and Problems. In: Modern Approaches in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Volume 1: Foundations. (Atanassov, K., M. Baczynski, J. Drewniak, J. Kacprzyk, M. Krawczak, E. Szmidt, M. Wygralak, S. Zadrozny, eds.), SRI-PAS, Warsaw, pp. 23–49.
- Atanassov, K. (2015) Intuitionistic fuzzy logics as tools for evaluation of data mining processes, Knowledge-Based Systems, 80, 122–130.
- Atanassov, K. (2017) Intuitionistic Fuzzy Logics. Springer Publishing House (in press).
- Atanassov, K., E. Szmidt, J. Kacprzyk, On Fodor’s type of intuitionistic fuzzy implication and negation, Notes on Intuitionistic Fuzzy Sets, 21, 2015, No. 2, 25–34.
- 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.
- van Atten, M. (2004) On Brouwer, Wadsworth, Behnout.
- Baczynski, M. & Jayaram, B. (2008) Fuzzy Implications, Springer, Berlin.
- 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.
- Plisko, V. (2009) A survey of propositional realizability logic. The Bulleting of Symbolic Logic, 15(1), 1–42.
- Rose, G. F. (1953) Propositional calculus and realizability. Transactions of the American Mathematical Society, 75, 1–19.
- Szmidt, E., Kacprzyk, J. & Atanassov, K. (2015) Properties of Fodor’s intuitionistic fuzzy implication and negation. Notes on Intuitionistic Fuzzy Sets, 21(4), 6–12.
- Szmidt, E., Kacprzyk, J. & Atanassov, K. (2015) Modal forms of Fodor’s type of intuitionistic fuzzy implication. Notes on Intuitionistic Fuzzy Sets, 21(5), 1–5.
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