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Proceedings of the Conference of the European Society for Fuzzy Logic and Technology

International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets

EUSFLAT 2017, IWIFSGN 2017: Advances in Fuzzy Logic and Technology 2017 pp 470–475Cite as

A Note on Intuitionistic Fuzzy Modal-Like Operators Generated by Power Mean

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 643))

Abstract

In this paper we propose new type of intuitionistic fuzzy modal-like operators generated by the application of the power mean. We study some of their properties and establish some relations between them.

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References

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

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  2. Atanassov, K.T.: Properties of the intuitionistic fuzzy extended modal operators. Notes IFS 21(3), 1–4 (2015)

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  3. Atanassova, V., Doukovska, L.: Compass-and-straightedge constructions in the intuitionistic fuzzy interpretational triangle: two new intuitionistic fuzzy modal operators. Notes IFS 23(2), 1–7 (2017)

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  4. Bullen, P.S.: Handbook of Means and Their Inequalities. Kluwer Academic Publishers, Dordrecht (2003)

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  5. Yilmaz, S., Çuvalcioğlu, G.: On intuitionistic fuzzy modal operators. Notes IFS 22(5), 27–36 (2016)

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  6. Yilmaz, S., Atanassova, V., Atanassov, K., Çuvalcioğlu, G.: Some relationships between new intuitionistic fuzzy modal operators. Notes IFS 22(5), 37–42 (2016)

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Acknowledgement

The present research has been supported 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. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 105, 1113, Sofia, Bulgaria

    Peter Vassilev & Simeon Ribagin

Authors
  1. Peter Vassilev
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  2. Simeon Ribagin
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Corresponding author

Correspondence to Peter Vassilev .

Editor information

Editors and Affiliations

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

    Janusz Kacprzyk

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

    Eulalia Szmidt

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

    Slawomir Zadrożny

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

    Krassimir T. Atanassov

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

    Maciej Krawczak

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Vassilev, P., Ribagin, S. (2018). A Note on Intuitionistic Fuzzy Modal-Like Operators Generated by Power Mean. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 643. Springer, Cham. https://doi.org/10.1007/978-3-319-66827-7_43

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  • DOI: https://doi.org/10.1007/978-3-319-66827-7_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66826-0

  • Online ISBN: 978-3-319-66827-7

  • eBook Packages: EngineeringEngineering (R0)

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