$(L,M)$-fuzzy weak hull groups

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.