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Discussing Uninorms on Bounded Lattices Using Closure and Interior Operators

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Fuzzy Logic and Technology, and Aggregation Operators (EUSFLAT 2023, AGOP 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14069))

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Abstract

Uninorms on bounded lattices have recently become a significant area of study. In the present study, we describe two new approaches for creating uninorms on bounded lattices, where some necessary and sufficient conditions are required. These structures use a t-conorm and an interior operator or a t-norm and a closure operator on a bounded lattice. The newly introduced classes of uninorms and the differences between them and already existing classes of uninorms are also illustrated on several examples.

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Authors and Affiliations

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

    Gül Deniz Çaylı

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  1. Gül Deniz Çaylı
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Correspondence to Gül Deniz Çaylı .

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Editors and Affiliations

  1. University of the Balearic Islands, Palma, Spain

    Sebastia Massanet

  2. University of Oviedo, Gijón, Spain

    Susana Montes

  3. University of the Balearic Islands, Palma, Spain

    Daniel Ruiz-Aguilera

  4. University of the Balearic Islands, Palma, Spain

    Manuel González-Hidalgo

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Çaylı, G.D. (2023). Discussing Uninorms on Bounded Lattices Using Closure and Interior Operators. In: Massanet, S., Montes, S., Ruiz-Aguilera, D., González-Hidalgo, M. (eds) Fuzzy Logic and Technology, and Aggregation Operators. EUSFLAT AGOP 2023 2023. Lecture Notes in Computer Science, vol 14069. Springer, Cham. https://doi.org/10.1007/978-3-031-39965-7_3

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  • DOI: https://doi.org/10.1007/978-3-031-39965-7_3

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