Soft groups and normalistic soft groups

  • Authors:
  • Aslıhan Sezgin;Akın Osman Atagün

  • Affiliations:
  • Department of Mathematics, Faculty of Arts and Science, Amasya University, 05100 Amasya, Turkey;Department of Mathematics, Faculty of Arts and Science, Bozok University, 66100 Yozgat, Turkey

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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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 Cag@?man [H. Aktas, N. Cag@?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.