Title of paper:
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Intuitionistic fuzzy implication →187
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Author(s):
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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 Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
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krat@bas.bg
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Eulalia Szmidt
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Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
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szmidt@ibspan.waw.pl
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Janusz Kacprzyk
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Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
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kacprzyk@ibspan.waw.pl
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Presented at:
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21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 2, pages 37—43
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Download:
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PDF (157 Kb Kb, File info)
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Abstract:
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In [4], some new intuitionistic fuzzy operations are defined and their properties are studied. On the basis of two of these new intuitionistic fuzzy operations, a new intuitionistic fuzzy implication is introduced here, numbered →187 and some of its properties are examined.
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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 intuitionistic fuzzy propositional calculus, Mathematical Foundations of Artificial Intelligence Seminar, Sofia, 1988, Preprint IM-MFAIS-5-88. 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). Multiplicative type of operations over intuitionistic fuzzy pairs. Proceedings of FQAS’17, London, 21–22 June 2017 (in press).
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- Van Dalen, D. (Ed.) (1981). Brouwer’s Cambridge Lectures on Intuitionism Cambridge Univ. Press, Cambridge.
- Klir, G., & Yuan, B. (1995). Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey.
- 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.
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