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Bibliographic Details
Main Authors: Xiu, Zhen-Yu, Si, Zheng-Yuan, Zheng, Xu
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.02051
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Table of Contents:
  • 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 $p\in (\mathfrak{e},1)\cup I_{\mathfrak{e}}^σ$ and $p\in I_σ^{\mathfrak{e}}$), respectively. Moreover, some illustrative examples and figures are provided.