Soft groups and normalistic soft groups

SEZGİN SEZER, ASLIHAN; Atagun, Akin

doi:10.1016/j.camwa.2011.05.050

Soft groups and normalistic soft groups

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SEZGİN SEZER A., Atagun A. O.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.62, no.2, pp.685-698, 2011 (SCI-Expanded)

Publication Type: Article / Article
Volume: 62 Issue: 2
Publication Date: 2011
Doi Number: 10.1016/j.camwa.2011.05.050
Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.685-698
Yozgat Bozok University Affiliated: Yes

Abstract

Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. In this paper, first we correct some of the problematic cases in a previous paper by Aktas and Cagman [H. Aktas, N. Cagman, Soft sets and soft groups, Inf. Sci. 177 (2007) 2726-2735]. Moreover, we introduce the concepts of normalistic soft group and normalistic soft group homomorphism, study their several related properties, and investigate some structures that are preserved under normalistic soft group homomorphisms. (C) 2011 Elsevier Ltd. All rights reserved.