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Uninorms That Are Neither Conjunctive Nor Disjunctive on Bounded Lattices

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Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations (IPMU 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 853))

Abstract

In this paper, we demonstrate that on some bounded lattices L, there exist elements \(e\in L\backslash \{0,1\}\) such that all uninorms having e as the neutral element are only conjunctive or disjunctive. And we introduce two new construction methods to obtain uninorms that are neither conjunctive nor disjunctive on a bounded lattice with a neutral element under some additional constraints. Furthermore, an illustrative example showing that our methods differ slightly from each other is added.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey

    Gül Deniz Çaylı

Authors
  1. Gül Deniz Çaylı
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Correspondence to Gül Deniz Çaylı .

Editor information

Editors and Affiliations

  1. Universidad de Cádiz, Cádiz, Cadiz, Spain

    Jesús Medina

  2. Universidad de Málaga, Málaga, Málaga, Spain

    Manuel Ojeda-Aciego

  3. Universidad de Granada, Granada, Spain

    José Luis Verdegay

  4. Universidad de Granada, Granada, Spain

    David A. Pelta

  5. Universidad de Málaga, Málaga, Málaga, Spain

    Inma P. Cabrera

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

    Bernadette Bouchon-Meunier

  7. Iona College, New Rochelle, New York, USA

    Ronald R. Yager

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Çaylı, G.D. (2018). Uninorms That Are Neither Conjunctive Nor Disjunctive on Bounded Lattices. In: Medina, J., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science, vol 853. Springer, Cham. https://doi.org/10.1007/978-3-319-91473-2_27

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  • DOI: https://doi.org/10.1007/978-3-319-91473-2_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91472-5

  • Online ISBN: 978-3-319-91473-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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