Abstract
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 ⋃ and arbitrary ⋂) between the lattice (ST E(X, E), ⊂) of all soft sets on X with the whole parameter set E as domains and the powerset lattice (P(X × E), ⊆) of all subsets of X × E. It therefore follows that soft topologies are redundant and unnecessarily complicated in theoretical sense.
| Original language | English |
|---|---|
| Pages (from-to) | 149-155 |
| Number of pages | 7 |
| Journal | Iranian Journal of Fuzzy Systems |
| Volume | 12 |
| Issue number | 5 |
| Publication status | Published - 1 Oct 2015 |
Keywords
- Soft set
- Soft topology
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