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On the New Class of Intuitionistic Fuzzy Implications

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Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives (IWIFSGN 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1081))

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Abstract

In the paper a new class of parametric intuitionistic fuzzy implications is introduced. Fulfillment of some properties, together with Modus Ponens and Modus Tollens inference rules, are investigated. Negation induced by implication is presented.

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References

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  2. Atanassov, K.T.: On the intuitionistic fuzzy implications and negations. In: Chountas, P., Petrounias, I., Kacprzyk, J. (eds.) Intelligent Techniques and Tools for Novel System Architectures. Studies in Computational Intelligence, vol. 109, pp. 381–394, Springer, Berlin (2008). https://link.springer.com/chapter/10.1007/978-3-540-77623-9_22. Accessed 11 Nov 2018

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  6. Baczyński, M., Jayaram, B.: Fuzzy implications. Springer, Berlin (2008). http://www.springer.com/la/book/9783540690801. Accessed 11 Nov 2018

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  9. Cornelis, C., Deschrijver, G., Kerre, E.E.: Classification of intuitionistic fuzzy implicators an algebraic approach. In: Proceedings of the FT&T 2002, 8th International Conference on Fuzzy Theory and Technology, Durham, North Carolina, USA, 9–12 March 2002, pp. 105–108 (2002). https://www.researchgate.net/profile/Etienne_Kerre/publication/221556625_Classification_Of_Intuitionistic_Fuzzy_Implicators_An_Algebraic_Approach/links/02e7e52de4ed684ead000000/Classification-Of-Intuitionistic-Fuzzy-Implicators-An-Algebraic-Approach.pdf. Accessed 11 Nov 2018

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Author information

Authors and Affiliations

  1. The Great Poland University of Social and Economics, Środa Wielkopolska, Poland

    Piotr Dworniczak

Authors
  1. Piotr Dworniczak
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Correspondence to Piotr Dworniczak .

Editor information

Editors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering, Sofia, Bulgaria

    Krassimir T. Atanassov

  2. Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering, Sofia, Bulgaria

    Vassia Atanassova

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

    Janusz Kacprzyk

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

    Andrzej Kaluszko

  5. WIT- Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

  6. Polish Acadamy of Sciences, Systems Research Institute, Warsaw, Poland

    Jan W. Owsinski

  7. Intelligent Systems Laboratory, Faculty of Technical Sciences, Bourgas, Bulgaria

    Sotir Sotirov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Evdokia Sotirova

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

    Eulalia Szmidt

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

    Slawomir Zadrozny

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Dworniczak, P. (2021). On the New Class of Intuitionistic Fuzzy Implications. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol 1081. Springer, Cham. https://doi.org/10.1007/978-3-030-47024-1_6

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