Soft topological polygroups are defined in two different ways. First, it is defined as a usual topology. In the usual topology, there are five equivalent definitions for continuity, but not all of them are necessarily established in soft continuity. Second it is defined as a soft topology including concepts such as soft neighborhood, soft continuity, soft compact, soft connected, soft Hausdorff space and their relationship with soft continuous functions in soft topological polygroups.
In this paper, we first present two different definitions for soft topological polygroups and mention some examples and important theorems related to them. Then a generalization of these two definitions is given. This generalization is such that it returns to the same two previous definitions in certain cases. In fact, we show with an example how the generalization returns to the first definition and how to the second definition.
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