Issue:Intercriteria analysis of the intuitionistic fuzzy implication properties

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Title of paper: Intercriteria analysis of the intuitionistic fuzzy implication properties
Author(s):
Nora Angelova
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
nora.angelovaAt sign.pngbiomed.bas.bg
Krassimir Atanassov
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, Burgas–8010, Bulgaria
kratAt sign.pngbas.bg
Beloslav Riečan
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava
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Presented at: 11th International Workshop on Intuitionistic Fuzzy Sets, Banská Bystrica, Slovakia, 30 Oct. 2015
Published in: "Notes on IFS", Volume 21, 2015, Number 5, pages 20–23
Download: Download-icon.png PDF (120  Kb, Info) Download-icon.png
Abstract: The apparatus of the intercriteria analysis is used for studying of some intuitionistic fuzzy implication properties. For this aim it is checked which axioms of the intuitionistic logic are satisfied by the separate implications.
Keywords: Implication, Intuitionistic fuzzy logic, Intuitionistic logic.
AMS Classification: 03E72.
References:
  1. Atanassov, K. (1999) Intuitionistic Fuzzy Sets, Springer, Heidelberg.
  2. Atanassov, K. (2014) Index Matrices: Towards an Augmented Matrix Calculus, Springer, Cham.
  3. Atanassov, K. (2015) On intuitionistic fuzzy implications. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 12, (in press).
  4. Atanassov, K., V. Atanassova & G. Gluhchev (2015) InterCriteria Analysis: Ideas and problems. Notes on Intuitionistic Fuzzy Sets, 21(1), 81–88.
  5. Atanassov, K., D. Mavrov & V. Atanassova (2014) Intercriteria Decision Making: A New Approach for Multicriteria Decision Making, Based on Index Matrices and Intuitionistic Fuzzy Sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 1–8.
  6. Atanassov, K., E. Szmidt & J. Kacprzyk (2013) On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  7. Rasiowa, H. & R. Sikorski. (1963) The Mathematics of Metamathematics, Pol. Acad. of Sci., Warszawa.
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