Notes on Soft Perfect Sets

نویسنده

  • Rodyna A. Hosny
چکیده

The notion of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this work, we consider the concepts of GL-soft perfect sets, GR-soft perfect sets and G -soft perfect sets were introduced in the soft topological space (X, A, τ) with a soft G which are extensions of the concepts soft τG-closed, soft τG-dense in itself and soft τG-perfect, respectively. Also, we studied a characterization for suitable condition between the soft topology τ and the soft G utilizing GR-soft perfect sets. On a finite soft set a new generalized finite soft topology via GR-soft perfect sets, which is finer than soft topology τG is obtained. Mathematics Subject Classification: 54A05, 11B05, 03E72

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تاریخ انتشار 2014