You use one subset to do a kind of soft group analysis, OK?
As in medieval Western music, there are two kinds of gamelan playing, one emphasizing the bronze instruments (comparable to medieval haut, or loud, consorts) and the other the wind and stringed instruments (bas, or soft, groups).
We have studied properties of soft topological soft groups, soft subgroups, soft normal subgroups, soft factor groups, and soft homomorphisms.
Therefore, (F,A) is a soft group over X.
However, if τ1 = τ2 = τ(say) then by Theorem 16, the intersection of such soft topological soft groups is a soft topological soft group.
Thus, (F1,A,τ1) and (F2,A,τ2) are two soft topological soft groups over X.
Let (F,A,τ) be a soft topological soft group over X.
Therefore, (F,A,τ) is a soft topological soft group over X.
Let (F1,A,τ) and (F2,A,τ) be two soft topological soft groups over X.
Let (F,A,τ) and (G,A,τ) be two soft topological soft groups over X.
Also, the fundamental homomorphism theorem in the soft topological soft group setting is established.
