The theory of finitely supported structures is used for dealing with very large sets having a certain degree symmetry. This framework generalizes the classical set Zermelo-Fraenkel by allowing infinitely many basic elements no internal structure (atoms) and equipping group actions permutation over these elements. On other hand, soft represent generalization fuzzy to deal uncertainty in parametr...

This paper demonstrates the redundancies concerning the increasing popular ``soft set" approaches to general topologies. It is shown that there is a complement preserving isomorphism (preserving arbitrary $widetilde{bigcup}$ and arbitrary $widetilde{bigcap}$) between the lattice ($mathcal{ST}_E(X,E),widetilde{subset}$) of all soft sets on $X$ with the whole parameter set $E$ as domains and the ...