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- W4220989007 abstract "Starting with an approximation space as the underlying structure, we look at the rough uniformity of a topological rough group. Next, taking L as a complete residuated lattice, we consider L-subgroup and normal L-subgroup of a group to create the L-fuzzy upper rough subgroup, and the L-fuzzy lower rough subgroup within the framework of the L-fuzzy approximation spaces. Here we particularly focus on a category of L-fuzzy upper rough subgroups, and a special kind of category of L-closure groups that arises naturally. We introduce the notion of the L-fuzzy approximation group, and study some of its properties including the usual function space structure for the L-fuzzy approximation spaces. Furthermore, using the notion of an L-fuzzy upper approximation operator, we investigate some categorical connection between the L-fuzzy approximation groups, and the L-closure groups. In a similar fashion, using an L-fuzzy lower approximation operator, we investigate the categorical connection between the L-fuzzy approximation groups, and the L-interior groups." @default.
- W4220989007 created "2022-04-03" @default.
- W4220989007 creator A5010778664 @default.
- W4220989007 date "2022-03-21" @default.
- W4220989007 modified "2023-09-27" @default.
- W4220989007 title "Rough uniformity of topological rough groups and L-fuzzy approximation groups" @default.
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- W4220989007 doi "https://doi.org/10.3233/jifs-212634" @default.
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