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Intuitionistic Fuzzy Interpretations of Some Formulas for Estimation of Preference Degree

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Soft Computing Applications for Group Decision-making and Consensus Modeling

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 357))

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Abstract

Two intuitionistic fuzzy interpretations of M. Fedrizzi, M. Fedrizzi and R. A. M. Pereira’s, and of V. Peneva and I. Popchev’s formulas are introduced and some of their properties are discussed.

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References

  1. Atanassov K (2014) Index matrices: towards an augmented matrix calculus. Springer, Cham

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  2. Atanassov K, Szmidt E, Kacprzyk J (2013) On intuitionistic fuzzy pairs. Note Intuit Fuzzy Set 19(3):1–13

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  3. Fedrizzi M, Fedrizzi M, Pereira RAM (1999) Soft consensus and network dynamics in group decision making. Int J Intel Syst 14:63–77

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  4. Peneva V, Popchev I (2010) Fuzzy multi-criteria decision making algorithms. Comptes rendus de l’Academie Bulgare des Sciences 63(7):979–992

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  5. Szmidt, E, Kacprzyk J, Atanassov K (2013) Intuitionistic fuzzy modifications of some PenevaPopchev formulas for estimation of preference degree. Part 1. Issue Intuit Fuzzy Set Generalized Net 10:12–20

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Acknowledgements

The first two 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., 1113, Sofia, Bulgaria

    Krassimir T. Atanassov & Vassia Atanassova

  2. Intelligent Systems Laboratory, Prof. Asen Zlatarov University, 8010, Burgas, Bulgaria

    Krassimir T. Atanassov

  3. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Eulalia Szmidt & Janusz Kacprzyk

  4. WIT – Warsaw School of Information Technology, ul. Newelska 6, 01-447, Warsaw, Poland

    Eulalia Szmidt & Janusz Kacprzyk

Authors
  1. Krassimir T. Atanassov
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  2. Vassia Atanassova
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  3. Eulalia Szmidt
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  4. Janusz Kacprzyk
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Corresponding author

Correspondence to Krassimir T. Atanassov .

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Editors and Affiliations

  1. School of Business and Management, Lappeenranta University of Technology, Lappeenranta, Finland

    Mikael Collan

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

    Janusz Kacprzyk

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Atanassov, K.T., Atanassova, V., Szmidt, E., Kacprzyk, J. (2018). Intuitionistic Fuzzy Interpretations of Some Formulas for Estimation of Preference Degree. In: Collan, M., Kacprzyk, J. (eds) Soft Computing Applications for Group Decision-making and Consensus Modeling. Studies in Fuzziness and Soft Computing, vol 357. Springer, Cham. https://doi.org/10.1007/978-3-319-60207-3_10

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  • DOI: https://doi.org/10.1007/978-3-319-60207-3_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-60206-6

  • Online ISBN: 978-3-319-60207-3

  • eBook Packages: EngineeringEngineering (R0)

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