16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:Four modal forms of intuitionistic fuzzy implication →@ and two related intuitionistic fuzzy negations. Part 1

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Title of paper: Four modal forms of intuitionistic fuzzy implication →@ and two related intuitionistic fuzzy negations. 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.atanassovaAt sign.pnggmail.com
Presented at: 14th ICIFS, Sofia, 15-16 May 2010
Published in: Conference proceedings, "Notes on IFS", Volume 16 (2010) Number 2, pages 31—34
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Abstract: Four modal forms of the intuitionistic fuzzy implication →@ are introduced. These four implications generate two new intuitionistic fuzzy negations. Some basic properties of these operations are studied.
Keywords: Implication, Intuitionistic fuzzy logic, Intuitionistic logic.
References:
  1. Atanassov, K., Two variants of intuitionistic fuzzy propositional calculus. Preprint IM-MFAIS-5-88, Sofia, 1988.
  2. Atanassov, K. Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg, 1999.
  3. Atanassov, K. Intuitionistic fuzzy implications and Modus Ponens. Notes on Intuitionistic Fuzzy Sets, Vol. 11, 2005, No. 1, 1-5.
  4. Atanassova, L., A new intuitionistic fuzzy implication. Cybernetics and Information Technologies, Vol. 9, 2009, No. 2, 21-25.
  5. Feys, R., Modal Logics, Gauthier-Villars, Paris, 1965.
  6. Klir, G. and Bo Yuan, Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey, 1995.
  7. Mendelson, E., Introduction to mathematical logic, Princeton, New Jersey, 1964.
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