Soft groups and normalistic soft groups

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 Aktaş and Çag˜man [H. Aktaş, N. Çag˜man, 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. [Copyright &y& Elsevier]