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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 383–392Cite as

A Statistical Study for Quantifier-Guided Dominance and Non-Dominance Degrees for the Selection of Alternatives in Group Decision Making Problems

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

Abstract

In a group decision making problem the selection process is decisive to find a solution. In these problems there is a widespread agreement to use fuzzy preference relations to express different preferences about possible alternatives. Previous papers have proposed different selection methods in this context. An usual way is the use of a ranking method to obtain a classification of the alternatives. One of the methods used is based on two choice degrees: quantifier guided dominance degree and quantifier guided non-dominance degree. This paper presents a limited comparative study about the application of the two previously cited quantifier guided choice degrees. By using statistical tools, it is concluded that both choice degrees can offer significantly different rankings of alternatives. In addition, it has been observed that the variability of the alternatives in the ranking obtained by dominance choice degree is generally greater, which may facilitate a better discrimination between different alternatives.

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Acknowledgements

The authors would like to acknowledge FEDER financial support from the Projects TIN2013-40658-P and TIN2016-75850-R.

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Authors and Affiliations

  1. University of Granada, 18071, Granada, Spain

    J. M. Tapia, M. J. del Moral, S. Alonso & E. Herrera-Viedma

Authors
  1. J. M. Tapia
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  2. M. J. del Moral
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  3. S. Alonso
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  4. E. Herrera-Viedma
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Corresponding author

Correspondence to J. M. Tapia .

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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Tapia, J.M., del Moral, M.J., Alonso, S., Herrera-Viedma, E. (2018). A Statistical Study for Quantifier-Guided Dominance and Non-Dominance Degrees for the Selection of Alternatives in Group Decision Making Problems. 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_35

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  • DOI: https://doi.org/10.1007/978-3-319-66827-7_35

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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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