Yıl 2018, Cilt 47, Sayı 4, Sayfalar 855 - 876 2018-08-01

New results on type-2 soft sets

Khizar Hayat [1] , Muhammad Irfan Ali [2] , Bing-Yuan Cao [3] , Faruk Karaaslan [4]

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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
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Birincil Dil en
Konular Matematik ve İstatistik
Dergi Bölümü Matematik
Yazarlar

Yazar: Khizar Hayat

Yazar: Muhammad Irfan Ali (Sorumlu Yazar)

Yazar: Bing-Yuan Cao (Sorumlu Yazar)

Yazar: Faruk Karaaslan

Bibtex @araştırma makalesi { hujms453109, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {1303-5010}, address = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {855 - 876}, doi = {}, title = {New results on type-2 soft sets}, key = {cite}, author = {Ali, Muhammad Irfan and Hayat, Khizar and Karaaslan, Faruk and Cao, Bing-Yuan} }
APA Hayat, K , Ali, M , Cao, B , Karaaslan, F . (2018). New results on type-2 soft sets. Hacettepe Journal of Mathematics and Statistics, 47 (4), 855-876. Retrieved from http://dergipark.gov.tr/hujms/issue/38872/453109
MLA Hayat, K , Ali, M , Cao, B , Karaaslan, F . "New results on type-2 soft sets". Hacettepe Journal of Mathematics and Statistics 47 (2018): 855-876 <http://dergipark.gov.tr/hujms/issue/38872/453109>
Chicago Hayat, K , Ali, M , Cao, B , Karaaslan, F . "New results on type-2 soft sets". Hacettepe Journal of Mathematics and Statistics 47 (2018): 855-876
RIS TY - JOUR T1 - New results on type-2 soft sets AU - Khizar Hayat , Muhammad Irfan Ali , Bing-Yuan Cao , Faruk Karaaslan Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 855 EP - 876 VL - 47 IS - 4 SN - 1303-5010- M3 - UR - Y2 - 2017 ER -
EndNote %0 Hacettepe Journal of Mathematics and Statistics New results on type-2 soft sets %A Khizar Hayat , Muhammad Irfan Ali , Bing-Yuan Cao , Faruk Karaaslan %T New results on type-2 soft sets %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 1303-5010- %V 47 %N 4 %R %U
ISNAD Hayat, Khizar , Ali, Muhammad Irfan , Cao, Bing-Yuan , Karaaslan, Faruk . "New results on type-2 soft sets". Hacettepe Journal of Mathematics and Statistics 47 / 4 (Ağustos 2018): 855-876.