In this study, the soft usual topology compatible with the usual topology of R is defined, and using its subspace topology on the interval 0,1, the concept of a soft path is introduced. Within this context, the notions of soft-connectedness and soft-path-connectedness are developed, their relationship is analyzed, and it is shown that these properties are preserved under soft-continuous mappings. Moreover, the behavior of these concepts within soft-topological groups is investigated in detail. Finally, the category of soft-topological groups is constructed, its morphisms are identified, and it is shown that this category forms a symmetric monoidal category.
Alemdar et al. (Wed,) studied this question.