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On a New Contrapositivisation Technique for Fuzzy Implications Constructed from Triangular Conorms

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1601))

Abstract

We introduce a new contrapositivisation technique for fuzzy implications constructed from triangular conorms, which generalizes the medium contrapositivisation, and we study some of its properties; we present some characterizations of the operator that defines this new contrapositivisation technique concerning N-compatibility and the action of an automorphism. Finally, we present one method of how to obtain triangular conorms from the contrapositivisators operators of (S,N)-implications.

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Acknowledgments

This work is partially supported by the Brazilian National Council for Scientific and Technological Development CNPq under the Processes 312899/2021-1, 311429/2020-3 and 312053/2018-5.

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Authors and Affiliations

  1. Departamento de Ciência e Tecnologia - DCT, Universidade Federal Rural do Semi-Árido - UFERSA, Caraúbas, Rio Grande do Norte, Brazil

    Fernando Neres

  2. Departamento de Informática e Matemática Aplicada - DIMAp, Universidade Federal do Rio Grande do Norte - UFRN, Natal, Rio Grande do Norte, Brazil

    Benjamín Bedregal & Regivan Santiago

Authors
  1. Fernando Neres
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  2. Benjamín Bedregal
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  3. Regivan Santiago
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Corresponding author

Correspondence to Fernando Neres .

Editor information

Editors and Affiliations

  1. University of Milano-Bicocca, Milan, Italy

    Davide Ciucci

  2. University of Oviedo, Oviedo, Spain

    Inés Couso

  3. University of Cádiz, Cádiz, Spain

    Jesús Medina

  4. University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

  5. University of Perugia, Perugia, Italy

    Davide Petturiti

  6. Sorbonne Université, Paris, France

    Bernadette Bouchon-Meunier

  7. Iona College, New Rochelle, NY, USA

    Ronald R. Yager

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Neres, F., Bedregal, B., Santiago, R. (2022). On a New Contrapositivisation Technique for Fuzzy Implications Constructed from Triangular Conorms. In: Ciucci, D., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2022. Communications in Computer and Information Science, vol 1601. Springer, Cham. https://doi.org/10.1007/978-3-031-08971-8_18

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  • DOI: https://doi.org/10.1007/978-3-031-08971-8_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-08970-1

  • Online ISBN: 978-3-031-08971-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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