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A note on soft topological spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 12، شماره 5، دی 2015، صفحه 149-155 اصل مقاله (348.28 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.2116 | ||
| نویسندگان | ||
Fu-Gui Shi  1؛ Bin Pang2
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| 1School of Mathematics and Statistics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, 100081 Beijing, P.R. China | ||
| 2School of Mathematics and Statistics, Beijing Institute of Technology, 5 South Zhongguancun Street, Haidian District, 100081 Beijing, P. R. China | ||
| چکیده | ||
| 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 powerset lattice ($mathcal{P}(Xtimes E),subseteq$) of all subsets of $Xtimes E$. It therefore follows that soft topologies are redundant and unnecessarily complicated in theoretical sense. | ||
| کلیدواژه‌ها | ||
| Soft set؛ Soft topology | ||
| مراجع | ||
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