A NEW VIEW TO N-GROUP THEORY: SOFT N-GROUPS

Abstract. Molodtsov introduced the concept of soft sets. In this paper, we present the definition of soft N-groups and construct some basic properties by using N-groups and Molodtsov’s defini-tion of soft sets. We introduce the notions of soft N-subgroups, soft N-ideal, N-idealistic soft N-groups and soft N-group ho-momorphisms. Moreover, the relations between N-idealistic soft N-groups and soft N-groups are investigated under certain con-ditions of the near-ring N and these relations are illustrated by many examples. Key words: uncertainty modeling, soft sets, soft N-groups, sof