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Multidimensional Intuitionistic Fuzzy Quantifiers and Level Operators

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Learning Systems: From Theory to Practice

Part of the book series: Studies in Computational Intelligence ((SCI,volume 756))

Abstract

In a series of papers, the authors introduced the concepts of multidimensional intuitionistic fuzzy sets and logic. Here, the concepts of a multidimensional intuitionistic fuzzy quantifier and an intuitionistic fuzzy level operator are introduced. Three groups of these quantifiers are described and some of their basic properties are studied.

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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 Atanassov

  2. Prof. Asen Zlatarov University, 8010, Bourgas, Bulgaria

    Krassimir Atanassov & Ivan Georgiev

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

    Eulalia Szmidt & Janusz Kacprzyk

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

    Eulalia Szmidt & Janusz Kacprzyk

Authors
  1. Krassimir Atanassov
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  2. Ivan Georgiev
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  3. Eulalia Szmidt
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  4. Janusz Kacprzyk
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Corresponding author

Correspondence to Krassimir Atanassov .

Editor information

Editors and Affiliations

  1. Bulgarian Academy of Sciences, Institute of Information and Communication Technology, Sofia, Bulgaria

    Vassil Sgurev

  2. Department of Computer Science, Università degli Studi di Milano, Crema, Italy

    Vincenzo Piuri

  3. University of Library Studies and Information Technologies, Sofia, Bulgaria

    Vladimir Jotsov

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Atanassov, K., Georgiev, I., Szmidt, E., Kacprzyk, J. (2018). Multidimensional Intuitionistic Fuzzy Quantifiers and Level Operators. In: Sgurev, V., Piuri, V., Jotsov, V. (eds) Learning Systems: From Theory to Practice. Studies in Computational Intelligence, vol 756. Springer, Cham. https://doi.org/10.1007/978-3-319-75181-8_13

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  • DOI: https://doi.org/10.1007/978-3-319-75181-8_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-75180-1

  • Online ISBN: 978-3-319-75181-8

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