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Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms

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Novel Developments in Uncertainty Representation and Processing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 401))

Abstract

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.

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References

  1. Atanassov, K.: On Intuitionistic Fuzzy Sets Theory. Springer, Berlin (2012)

    Book  MATH  Google Scholar 

  2. Atanassov, K.: On intuitionistic fuzzy logics: results and problems. In: Atanassov, K., Baczynski, M., Drewniak, J., Kacprzyk, J., Krawczak, M., Szmidt, E., Wygralak, M.,Zadrozny, S. (eds.) Modern Approaches in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Volume 1: Foundations, pp. 23–49. SRI-PAS, Warsaw (2014)

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  3. Dimitrov, D.: IFSTool—software for intuitionistic fuzzy sets. Issues Intuit. Fuzzy Sets Gen. Nets 9, 61–69 (2011)

    Google Scholar 

  4. Baczynski, M., Jayaram, B.: Fuzzy Implications. Springer, Berlin (2008)

    MATH  Google Scholar 

  5. IFSTool. Ifigenia.net. http://www.ifigenia.org/wiki/IFSTool

  6. Klir, G., Yuan, B.: Fuzzy Sets and Fuzzy Logic. Prentice Hall, New Jersey (1995)

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Acknowledgments

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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Authors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia, 1113, Bulgaria

    Nora Angelova & Krassimir Atanassov

Authors
  1. Nora Angelova
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  2. Krassimir Atanassov
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Corresponding author

Correspondence to Nora Angelova .

Editor information

Editors and Affiliations

  1. Inst. of Biophy. & Biomedical Eng., Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  2. Division of Graduate Studies, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Oscar Castillo

  3. Sys Res Intit of Polish Acad of Science, Intelligent Systems Laboratory, Warsaw, Poland

    Janusz Kacprzyk

  4. Warsaw School of Information Technology, Polish Academy of Sciences, Warsaw, Poland

    Maciej Krawczak

  5. Div of Gdu Stud,CalzTecn sn,Fra.TomAqu, Tijuana Institute of Technology, Tijuana, Baja California, Mexico

    Patricia Melin

  6. Intelligent Systems Laboratory, Asen Zlatarov University, Bourgas, Bulgaria

    Sotir Sotirov

  7. Intelligent Systems Laboratory, “Prof. Dr. Asen Zlatarov” University, Burgas, Bulgaria

    Evdokia Sotirova

  8. Systems Research Institute, Polish Academy of Sciences, Warszawa, Poland

    Eulalia Szmidt

  9. Dept. of Tele. & Info. Processing, Ghent University, Gent, Belgium

    Guy De Tré

  10. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Sławomir Zadrożny

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Angelova, N., Atanassov, K. (2016). Intuitionistic Fuzzy Implications and Klir-Yuan’s Axioms. In: Atanassov, K., et al. Novel Developments in Uncertainty Representation and Processing. Advances in Intelligent Systems and Computing, vol 401. Springer, Cham. https://doi.org/10.1007/978-3-319-26211-6_9

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  • DOI: https://doi.org/10.1007/978-3-319-26211-6_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26210-9

  • Online ISBN: 978-3-319-26211-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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