Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms

  • Nora AngelovaEmail author
  • Krassimir Atanassov
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 401)


During years of research, there have been defined 149 intuitionistic fuzzy implications. In the paper, it is checked which of these implications satisfy Klir-Yuan’s axioms, whether as (classical) tautologies or as intuitionistic fuzzy tautologies.


Implication Intuitionistic fuzzy logic Klir-Yuan’s axioms 



The authors are thankful for the support provided by the Bulgarian National Science Fund under Grant Ref. No. DFNI-I-02-5 “InterCriteria Analysis: A New Approach to Decision Making”.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of Bioinformatics and Mathematical ModellingInstitute of Biophysics and Biomedical Engineering Bulgarian Academy of SciencesSofiaBulgaria

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