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arXiv · 2407.02051

New construction methods for uninorms via functions with q and uninorms on bounded lattices

Zhen-Yu Xiu·Zheng-Yuan Si·Xu Zheng
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Abstract

In this paper, we study the construction methods for uninorms on bounded lattices via functions with the given uninorms and $q\in \mathbb{L_{B}}$ (or $p\in \mathbb{L_{B}}$). Specifically, we investigate the conditions under which these functions can be uninorms on bounded lattices when $q\in (0,\mathfrak{e})\cup I_{\mathfrak{e}}^{\varrho}$ and $q\in I_{\varrho}^{\mathfrak{e}}$ (or $p\in (\mathfrak{e},1)\cup I_{\mathfrak{e}}^{\sigma}$ and $p\in I_{\sigma}^{\mathfrak{e}}$), respectively. Moreover, some illustrative examples and figures are provided.

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Zhen-Yu Xiu, Zheng-Yuan Si, Xu Zheng. 2024-07-02. New construction methods for uninorms via functions with q and uninorms on bounded lattices. https://arxiv.org/abs/2407.02051

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