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<p>This paper is concerned with the problem of constructing uni-nullnorms on bounded lattices. Given the limited existing research on constructing uni-nullnorms with conjunctive underlying uninorms on bounded lattices, we propose several novel construction methods. Correspondingly, we also present new methods for constructing uni-nullnorms with disjunctive underlying uninorms on bounded lattices under certain conditions. Additionally, some illustrative examples are provided.</p>

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New constructions of uni-nullnorms on bounded lattices

  • 期刊论文

  • 发表日期：

    2025年7月14日

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  • Dong-Xue Jiang,
  • Hua-Wen Liu

摘要

This paper is concerned with the problem of constructing uni-nullnorms on bounded lattices. Given the limited existing research on constructing uni-nullnorms with conjunctive underlying uninorms on bounded lattices, we propose several novel construction methods. Correspondingly, we also present new methods for constructing uni-nullnorms with disjunctive underlying uninorms on bounded lattices under certain conditions. Additionally, some illustrative examples are provided.