Soft groups and normalistic soft groups |
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| Authors: | Asl?han Sezgin Ak?n Osman Atagün |
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| Affiliation: | a Department of Mathematics, Faculty of Arts and Science, Amasya University, 05100 Amasya, Turkeyb Department of Mathematics, Faculty of Arts and Science, Bozok University, 66100 Yozgat, Turkey |
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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 Akta? and Çag˜man H. Akta?, 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. |
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| Keywords: | Soft groups Soft subgroups Normalistic soft groups Soft mapping Soft homomorphism Normalistic soft group homomorphism |
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