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
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Ağustos 2018 |
Yayımlandığı Sayı | Yıl 2018 Cilt: 47 Sayı: 4 |