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In this paper, we introduce two approaches for getting new classes of uninorms on bounded lattices using the indicated uninorm on a sublattice \(\left[ 0,k\right] \) (or \(\left[ t,1\right] \) ) of a bounded lattice L with a neutral element \(e\in \left] 0,k\right[ \) (or \(e\in \left] t,1\right[ \) ). As a by-product, these tools encompass the construction methods proposed by Çaylı (2018). Moreover, we provide some examples to assess the differences between our methods and the existing approaches.

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Generating Uninorms on a Bounded Lattice L Based on Uninorms on a Sublattice of L

  • 会议论文

  • 发表日期：

    2025年

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  • Gül Deniz Çaylı

摘要

In this paper, we introduce two approaches for getting new classes of uninorms on bounded lattices using the indicated uninorm on a sublattice \(\left[ 0,k\right] \) (or \(\left[ t,1\right] \) ) of a bounded lattice L with a neutral element \(e\in \left] 0,k\right[ \) (or \(e\in \left] t,1\right[ \) ). As a by-product, these tools encompass the construction methods proposed by Çaylı (2018). Moreover, we provide some examples to assess the differences between our methods and the existing approaches.