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Intercriteria Analysis of EU Competitiveness Using the Level Operator N γ

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 641))

Abstract

A recent leg of research on a new level operator over intuitionistic fuzzy sets, N γ , inspired the development of a new approach to establishing the thresholds for evaluation of the results of application of the InterCriteria Analysis (ICA) over multiobject multicriteria problems. ICA is a novel method of detecting the levels of pairwise correlations within the set of criteria (termed here positive consonance, negative consonance and dissonance), which uses as input the dataset of measurements or evaluations of a set of objects against these criteria. The output of ICA, being a matrix of intuitionistic fuzzy pairs, gives all possible consonances and dissonances between the pairs of criteria, and it is a matter of either expert decision or algorithmic solution what thresholds of precision will be implemented to outline the top correlating pairs of criteria and yield certain domain-specific conclusions from the data. The present paper discusses practical aspects of selecting these top performing pairs of criteria with the use of the newly proposed intuitionistic fuzzy level operator N γ . For illustrative purposes, we analyze the dataset of 28 EU member states’ performance from the Global Competitiveness Report of the World Economic Forum for the year 2016–2017. Further, we comment on the interval in which parameter γ reasonably varies, making use of the intuitionistic fuzzy interpretational triangle and the topological operators Interior and Closure.

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Acknowledgements

The authors are grateful for the support provided by the National Science Fund of Bulgaria under grant DFNI-I-02-5/2014.

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Authors and Affiliations

  1. Intelligent Systems Department, IICT – Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 2, 1113, Sofia, Bulgaria

    Lyubka Doukovska & Irina Radeva

  2. Bioinformatics and Mathematical Modelling Department, IBPhBME – Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 105, 1113, Sofia, Bulgaria

    Vassia Atanassova

  3. Intelligent Systems Laboratory, “Prof. Dr. Asen Zlatarov” University, 1 “Prof. Yakimov” Blvd., 8010, Burgas, Bulgaria

    Deyan Mavrov

Authors
  1. Lyubka Doukovska
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  2. Vassia Atanassova
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  3. Deyan Mavrov
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  4. Irina Radeva
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Corresponding author

Correspondence to Vassia Atanassova .

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

    Sławomir Zadrożny

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

    Krassimir T. Atanassov

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

    Maciej Krawczak

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Doukovska, L., Atanassova, V., Mavrov, D., Radeva, I. (2018). Intercriteria Analysis of EU Competitiveness Using the Level Operator N γ . 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 641. Springer, Cham. https://doi.org/10.1007/978-3-319-66830-7_56

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_56

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66829-1

  • Online ISBN: 978-3-319-66830-7

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