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<p>In this paper, we propose effective methods for constructing uninorms on bounded lattices using closure operators and triangular conorms. Moreover, the condition on closure operators are both sufficient and necessary under additional constraints on bounded lattices. Meanwhile, the dual results are also provided. In this case, we can derive some degenerate cases of the aforementioned results using special closure and interior operators, respectively. Some of these cases correspond to well-known results documented in the literature.</p>

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New methods to construct uninorms on bounded lattices via closure operators and triangular conorms

  • 期刊论文

  • 发表日期：

    2025年9月8日

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  • Zhen-Yu Xiu,
  • Zheng-Yuan Si

摘要

In this paper, we propose effective methods for constructing uninorms on bounded lattices using closure operators and triangular conorms. Moreover, the condition on closure operators are both sufficient and necessary under additional constraints on bounded lattices. Meanwhile, the dual results are also provided. In this case, we can derive some degenerate cases of the aforementioned results using special closure and interior operators, respectively. Some of these cases correspond to well-known results documented in the literature.