Issue:Remark on Dworniczak’s intuitionistic fuzzy implications. Part 1

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Title of paper: Remark on Dworniczak’s intuitionistic fuzzy implications. Part 1 Author(s): Lilija Atanassova Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 2, Sofia–1113, Bulgaria l.c.atanassova@gmail.com Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21 (2015) Number 3, pages 18—23 Download:  PDF (147  Kb, File info) Abstract: 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. Keywords: Implication; Intuitionistic fuzzy logic. AMS Classification: Primary 03E72; Secondary 04E72 References: 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. Citations: Issue:Remark on Dworniczak's intuitionistic fuzzy implications. Part 3 ‎ (← links) Issue:Modifications of the Third Zadeh's intuitionistic fuzzy implication ‎ (← links) Issue:The weak intuitionistic fuzzy implication based on △* operation ‎ (← links) Issue:Intuitionistic fuzzy interpretations of formula (A → B) → ((¬A → B) → B) ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.