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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 295–305Cite as

A New Extension of Monotonicity: Ordered Directional Monotonicity

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

Abstract

In this work, we discuss a recent generalization of the classical notion of monotonicity, with a special focus on the idea of directional monotonicity. This idea leads to the concepts of pre-aggregation functions and of ordered directional monotonicity. For the former, the direction along which monotonicity is considered is the same for all the points of the domain and the same boundary conditions as for aggregation functions are imposed. For the latter, different directions of monotonicity may be considered at different points.

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Acknowledgment

The authors would like to thank research projects TIN2016-77356-P(AEI/FEDER, UE) and APVV-14-0013.

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Authors and Affiliations

  1. Department of Automation and Computing, Public University of Navarra, 31006, Pamplona, Spain

    Humberto Bustince, Mikel Sesma-Sara, Javier Fernandez, Mikel Galar & Mikel Elkano

  2. Institute of Smart Cities, Public University of Navarra, 31006, Pamplona, Spain

    Humberto Bustince, Mikel Sesma-Sara, Javier Fernandez, Mikel Galar & Mikel Elkano

  3. Slovak University of Technology, Radlinskeho 11, Bratislava, Slovakia

    Radko Mesiar

  4. Institute of Information Engineering, Automation and Mathematics, Slovak University of Technology, 810 05, Bratislava, Slovakia

    Anna Kolesárová

Authors
  1. Humberto Bustince
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  2. Radko Mesiar
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  3. Anna Kolesárová
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  4. Mikel Sesma-Sara
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  5. Javier Fernandez
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  6. Mikel Galar
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  7. Mikel Elkano
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Corresponding author

Correspondence to Humberto Bustince .

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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Bustince, H. et al. (2018). A New Extension of Monotonicity: Ordered Directional Monotonicity. 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_27

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  • DOI: https://doi.org/10.1007/978-3-319-66830-7_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66829-1

  • Online ISBN: 978-3-319-66830-7

  • eBook Packages: EngineeringEngineering (R0)

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