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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.02051 |
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| _version_ | 1866929406075731968 |
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| author | Xiu, Zhen-Yu Si, Zheng-Yuan Zheng, Xu |
| author_facet | Xiu, Zhen-Yu Si, Zheng-Yuan Zheng, Xu |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02051 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New construction methods for uninorms via functions with q and uninorms on bounded lattices Xiu, Zhen-Yu Si, Zheng-Yuan Zheng, Xu Logic 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. |
| title | New construction methods for uninorms via functions with q and uninorms on bounded lattices |
| topic | Logic |
| url | https://arxiv.org/abs/2407.02051 |