Yazarlar |
Aslıhan Sezgin Sezer
Amasya Üniversitesi, Türkiye |
Prof. Dr. Akın Osman ATAGÜN
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. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved. |
Anahtar Kelimeler |
Soft sets, Union of soft sets, Restricted union, Intersection of soft sets, Extended intersection, Restricted difference, Restricted symmetric difference |
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 |
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 |
Atıf Sayıları | |
WoS | 206 |
SCOPUS | 239 |
Google Scholar | 483 |
ResearchGate | 373 |