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An Equivalence Relation and Admissible Linear Orders in Decision Making

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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))

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Abstract

In this paper interval-valued fuzzy relations in the context of decision making problems are studied. A new version of transitivity with admissible linear order involved in its notion is introduced. It is examined the connection of this new property and some equivalence relation for interval-valued fuzzy relations. There are also studied admissible linear orders generated by aggregation functions and their connection with the considered equivalence relation. Possible applications of the presented results in decision making are indicated.

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Acknowledgements

This contribution was 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.

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Authors and Affiliations

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

    Urszula Bentkowska & Barbara Pȩkala

Authors
  1. Urszula Bentkowska
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  2. Barbara Pȩkala
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Corresponding author

Correspondence to Urszula Bentkowska .

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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Bentkowska, U., Pȩkala, B. (2018). An Equivalence Relation and Admissible Linear Orders in Decision Making. 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_18

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_18

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  • Print ISBN: 978-3-319-66829-1

  • Online ISBN: 978-3-319-66830-7

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