In this paper, we introduce some new operations on type-2 soft sets and discuss related properties. The notions of primary empty type-2 soft sets, underlying empty type-2 soft sets and complete type-2 soft sets are introduced. In particular, we define four new operations (the extension,
the restriction, the extension-restriction, the restriction-extension) each on union, intersection and difference. By using these new definitions we prove certain De Morgan's laws in type-2 soft set theory. Finally, an example which shows the validity of De Morgan's laws in real life problems is presented.
Type-2 soft sets empty type-2 soft sets the extension the restriction the extension-restriction the restriction-extension union intersection difference and De Morgan's laws
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Mathematics |
Authors | |
Publication Date | August 1, 2018 |
Published in Issue | Year 2018 Volume: 47 Issue: 4 |