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<p>In this paper, we present two methods for constructing uninorms on a bounded lattice <i>L</i> based on a uninorm defined on the sublattice <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\left[ 0,a\right] \)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close="]" open="["> <mn>0</mn> <mo>,</mo> <mi>a</mi> </mfenced> </math></EquationSource> </InlineEquation> (or <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\left[ b,1\right] \)</EquationSource> <EquationSource Format="MATHML"><math> <mfenced close="]" open="["> <mi>b</mi> <mo>,</mo> <mn>1</mn> </mfenced> </math></EquationSource> </InlineEquation>) of <i>L</i>. We also examine the relationships between these methods and existing construction approaches in the literature. Furthermore, we provide several illustrative examples that demonstrate the effectiveness of the proposed constructions.</p>

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New methods to construct uninorms on bounded lattices via uninorms defined on their sublattices

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年4月21日

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  • Gül Deniz Çaylı,
  • Emrah Kurtuluş,
  • Dilara Başer

摘要

In this paper, we present two methods for constructing uninorms on a bounded lattice L based on a uninorm defined on the sublattice \(\left[ 0,a\right] \) 0 , a (or \(\left[ b,1\right] \) b , 1 ) of L. We also examine the relationships between these methods and existing construction approaches in the literature. Furthermore, we provide several illustrative examples that demonstrate the effectiveness of the proposed constructions.