摘要
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.
| 源语言 | 英语 |
|---|---|
| 页(从-至) | 149-155 |
| 页数 | 7 |
| 期刊 | Iranian Journal of Fuzzy Systems |
| 卷 | 12 |
| 期 | 5 |
| 出版状态 | 已出版 - 1 10月 2015 |
学术指纹
探究 'A note on soft topological spaces' 的科研主题。它们共同构成独一无二的学术指纹。引用此
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver