Redundancy of fuzzy soft topological spaces

In this paper, it is shown that there is a complement preserving isomorphism (preserving arbitrary union and arbitrary intersection) between the lattice ($\mathcal{FS}(X,E),\sqsubseteq$) of all fuzzy soft sets on X and the I-powerset lattice (IX × E,≤) of all fuzzy subsets of X × E. It therefore follows that fuzzy soft topologies are redundant and unnecessarily complicated in theoretical sense.

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