BINARY ČECH SOFT CLOSURE SPACES

BINARY ČECH SOFT CLOSURE SPACES

R. N. Majeed

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Abstract

In this paper the notion of binary   Cech soft closure space which is de ned over two initial universe sets with  xed sets of parameters is introduced and studied. This space extends and generalizes   Cech soft closure space. The main and basic notions for this space such as closed (open) binary soft sets, binary soft interior, and dense binary soft sets are de ned and studied. Relationships between binary   Cech soft closure space and   Cech soft closure space are deduced. Examples and counterexamples are presented to illustrate some of our results. Finally, some operations on binary   Cech soft closure operators are de ned.

Keywords

Binary soft sets, binary soft topology, soft closure space, binary soft closure space, binary   Cech soft closure space.