This study is carried out in the context of $ (L, M) $-fuzzy weak hull operators. First, we introduce the concept of an $ (L, M) $-fuzzy quasi-hull operator and prove that $ (L, M) $-fuzzy quasi-hull operators are categorically isomorphic to $ (L, M) $-fuzzy supratopologies. Second, by imposing a compatibility condition with group structures, we propose the notion of an $ (L, M) $-fuzzy weak hull group and further investigate its relevant properties, such as those related to its subgroups and product groups.
Citation: Runmei Shang, Hu Zhao, Xiongwei Zhang. $ (L, M) $-fuzzy weak hull groups[J]. AIMS Mathematics, 2026, 11(4): 10444-10461. doi: 10.3934/math.2026430
This study is carried out in the context of $ (L, M) $-fuzzy weak hull operators. First, we introduce the concept of an $ (L, M) $-fuzzy quasi-hull operator and prove that $ (L, M) $-fuzzy quasi-hull operators are categorically isomorphic to $ (L, M) $-fuzzy supratopologies. Second, by imposing a compatibility condition with group structures, we propose the notion of an $ (L, M) $-fuzzy weak hull group and further investigate its relevant properties, such as those related to its subgroups and product groups.
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Runmei Shang, Hu Zhao, Xiongwei Zhang. $ (L, M) $-fuzzy weak hull groups[J]. AIMS Mathematics, 2026, 11(4): 10444-10461. doi: 10.3934/math.2026430
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