| Title of paper:
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Remark on Dworniczak’s intuitionistic fuzzy implications. Part 1
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| Author(s):
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| Lilija Atanassova
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| Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 2, Sofia–1113, Bulgaria
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| l.c.atanassova@gmail.com
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 21 (2015) Number 3, pages 18—23
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| Download:
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 PDF (147 Kb, File info)
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| Abstract:
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Four new intuitinistic fuzzy implications are introduced. They are modal forms of Dworniczak’s intuitionistic fuzzy implication [math]\displaystyle{ \rightarrow_{150,\lambda} }[/math]. Their basic properties are studied.
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| Keywords:
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Implication; Intuitionistic fuzzy logic.
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| AMS Classification:
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Primary 03E72; Secondary 04E72
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| References:
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- Angelova, N., Marinov, E., & Atanassov, K. (2015) Intuitionistic Fuzzy Implications and Kolmogorov’s and Lukasiewisz-Tarski’s Axioms of Logic. Notes on Intuitionistic Fuzzy Sets, 21(2), 35–42.
- Atanassov, K. (2012) On Intuitionistic Fuzzy Sets Theory, Springer, Berlin.
- Atanassov, K., Szmidt E., & Kacprzyk J. (2013) On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
- Atanassova, L. (2009) A new intuitionistic fuzzy implication, Cybernetics and Information Technologies, 9(2), 21–25.
- Atanassova, L. (2012) On two modifications of the intuitionistic fuzzy implication →@, Notes on Intuitionistic Fuzzy Sets, 18(2), 26–30.
- Atanassova, L., On the modal form of the intuitionistic fuzzy implications →'@ and →"@, Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 10, 5–11.
- Dworniczak, P. (2010) Some remarks about the L. Atanassova’s paper “A new intuitionistic fuzzy implication”, Cybernetics and Information Technologies, 10(3), 3–9.
- Dworniczak, P. (2010) On one class of intuitionistic fuzzy implications, Cybernetics and Information Technologies, 10(4), 13–21.
- Dworniczak, P. (2011) On some two-parametric intuitionistic fuzzy implication, Notes on Intuitionistic Fuzzy Sets, 17(2), 8–16.
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