Yazarlar (2) |
![]() Amasya Üniversitesi, Türkiye |
![]() Bozok Üniversitesi, Türkiye |
Özet |
Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we prove that certain De Morgan's law hold in soft set theory with respect to different operations on soft sets. Then, we discuss the basic properties of operations on soft sets such as intersection, extended intersection, restricted union and restricted difference. Moreover, we illustrate their interconnections between each other. Also we define the notion of restricted symmetric difference of soft sets and investigate its properties. The main purpose of this paper is to extend the theoretical aspect of operations on soft sets. © 2010 Elsevier Ltd. All rights reserved. |
Anahtar Kelimeler |
Extended intersection | Intersection of soft sets | Restricted difference | Restricted symmetric difference | Restricted union | Soft sets | Union of soft sets |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | COMPUTERS & MATHEMATICS WITH APPLICATIONS |
Dergi ISSN | 0898-1221 Wos Dergi Scopus Dergi |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q1 |
Makale Dili | İngilizce |
Basım Tarihi | 03-2011 |
Cilt No | 61 |
Sayı | 5 |
Sayfalar | 1457 / 1467 |
Doi Numarası | 10.1016/j.camwa.2011.01.018 |
Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0898122111000356 |