New results on type-2 soft sets

Key Findings & Data:The notions of primary empty type-2 soft sets, underlying empty type-2 soft sets and complete type-2 soft sets are introduced.

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Conclusion & Impact:Finally, an example which shows the validity of De Morgan's laws in real life problems is presented.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Type-2 soft sets · empty type-2 soft sets · the extension

Abstract

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.

Keywords

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

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Cite This Article

KARAASLAN, F., HAYAT, K., ALİ, M. İ., CAO, B. -. (2022). New results on type-2 soft sets. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 4, 855–876. https://ajindex.com/articles/530181

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