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On operations of soft sets       
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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 206
SCOPUS 239
Google Scholar 483
ResearchGate 373
On operations of soft sets

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