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- Title
A NOTE ON SOFT TOPOLOGICAL SPACES.
- Authors
SHI, F. G.; PANG, B.
- Abstract
This paper demonstrates the redundancies concerning the increasing popular “soft set” approaches to general topologies. It is shown that there is a com plement preservingisom orphism (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 x E), ⊆) of all subsets of X x E. It therefore follows that soft topologies are redundant and unnecessarily complicated in theoretical sense.
- Subjects
TOPOLOGICAL spaces; DIONYSIA; FUNCTION spaces; LATTICE theory; INTEGRAL domains
- Publication
Iranian Journal of Fuzzy Systems, 2015, Vol 12, Issue 5, p149
- ISSN
1735-0654
- Publication type
Article