Journal of New Theory (Mar 2015)

CHARACTERIZATION OF b-OPEN SOFT SETS IN SOFT TOPOLOGICAL SPACES

  • S. A. El-sheikh,
  • A. M. Abd El-latif

Journal volume & issue
no. 2
pp. 8 – 18

Abstract

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− In this paper, a new class of open soft sets in a soft topological space, called b-open softsets, is introduced and studied. Moreover, the relations this class and these different types of subsetsof soft topological spaces, which introduced in [9], is studied. In particular, this class is contained inthe class of β-open soft sets and contains the classes of open soft sets, pre open soft sets, semi opensoft sets and α-open soft sets. Also, the authors introduce the concept of b-continuous soft functionsand study some of their properties in detail. As a consequence the relations of some soft continuitiesare shown in a diagram

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