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New Type of Equivalence Measure for Atanassov Intuitionistic Fuzzy Setting

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Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives (IWIFSGN 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1081))

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Abstract

In this paper, the problem of measuring the degree of inclusion and equivalence measure for Atanassov intuitionistic fuzzy setting is considered. We propose inclusion and equivalence measure by using the partial or linear order on Atanassov intuitionistic fuzzy setting. Moreover, some properties of inclusion and equivalence measures and some correlation between them and aggregation operators are examined.

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Acknowledgements

This work was partially supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge of University of Rzeszów, Poland, the project RPPK.01.03.00-18-001/10. Moreover, Urszula Bentkowska acknowledges the support of the Polish National Science Centre grant number 2018/02/X/ST6/00214. Humberto Bustince and Javier Fernandez were partially supported by Research project TIN2016-77356-P(AEI/UE/FEDER) of the Spanish Government.

Author information

Authors and Affiliations

  1. Interdisciplinary Centre for Computational Modelling, University of Rzeszów, Pigonia 1, 35-310, Rzeszów, Poland

    Barbara Pȩkala & Urszula Bentkowska

  2. Departamento Estadistica, Informatica y Matematicas, Universidad Publica de Navarra, Pamplona, Spain

    Humberto Bustince, Javier Fernandez & Julio Lafuente

Authors
  1. Barbara Pȩkala
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  2. Urszula Bentkowska
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  3. Humberto Bustince
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  4. Javier Fernandez
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  5. Julio Lafuente
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Corresponding author

Correspondence to Barbara Pȩkala .

Editor information

Editors and Affiliations

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

    Krassimir T. Atanassov

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

    Vassia Atanassova

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

    Janusz Kacprzyk

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

    Andrzej Kaluszko

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

    Maciej Krawczak

  6. Polish Acadamy of Sciences, Systems Research Institute, Warsaw, Poland

    Jan W. Owsinski

  7. Intelligent Systems Laboratory, Faculty of Technical Sciences, Bourgas, Bulgaria

    Sotir Sotirov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Evdokia Sotirova

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

    Eulalia Szmidt

  10. Polish Academy of Sciences, Systems Research Institute, Warszawa, Poland

    Slawomir Zadrozny

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Pȩkala, B., Bentkowska, U., Bustince, H., Fernandez, J., Lafuente, J. (2021). New Type of Equivalence Measure for Atanassov Intuitionistic Fuzzy Setting. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol 1081. Springer, Cham. https://doi.org/10.1007/978-3-030-47024-1_2

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