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On the Sensitivity of the Weighted Relevance Aggregation Operator and Its Application to Fuzzy Signatures

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 611))

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Abstract

The weighted relevance aggregation operator is a modified, flexible version of the general power mean. In this paper we discuss the sensitivity of this operator, namely we give bounds on the change of the output in terms of vector norms of the change of the input variables. We apply these results to characterize to sensitivity of fuzzy signatures which are equipped with these operators in its nodes.

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Acknowledgments

This research was supported by National Research, Development and Innovation Office (NKFIH) K105529 and K108405.

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Authors and Affiliations

  1. Department of Mathematics and Computational Sciences, Széchenyi István University, Győr, Hungary

    István Á. Harmati

  2. Department of Automation, Széchenyi István University, Győr, Hungary

    László T. Kóczy

  3. Department of Telecommunications and Media informatics, Budapest University of Technology and Economics, Budapest, Hungary

    László T. Kóczy

Authors
  1. István Á. Harmati
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  2. László T. Kóczy
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Corresponding author

Correspondence to István Á. Harmati .

Editor information

Editors and Affiliations

  1. INESC-ID,Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    Joao Paulo Carvalho

  2. LIP 6, Université Pierre et Marie Curie, Paris, France

    Marie-Jeanne Lesot

  3. School of Industrial Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Uzay Kaymak

  4. IDMEC,Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    Susana Vieira

  5. LIP6, Université Pierre et Marie Curie, CNRS, Paris, France

    Bernadette Bouchon-Meunier

  6. Iona College, Machine Intelligence Institute, New Rochelle, New York, USA

    Ronald R. Yager

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Harmati, I.Á., Kóczy, L.T. (2016). On the Sensitivity of the Weighted Relevance Aggregation Operator and Its Application to Fuzzy Signatures. In: Carvalho, J., Lesot, MJ., Kaymak, U., Vieira, S., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2016. Communications in Computer and Information Science, vol 611. Springer, Cham. https://doi.org/10.1007/978-3-319-40581-0_65

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  • DOI: https://doi.org/10.1007/978-3-319-40581-0_65

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40580-3

  • Online ISBN: 978-3-319-40581-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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