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Some Mixed Soft Operations and Extremally Soft Disconnectedness via Two Soft Topologies
Department of Mathematics, Balikesir University, Balikesir, Turkey
Department of Mathematics, Balikesir University, Balikesir, Turkey
- 1 Department of Mathematics, Balikesir University, Balikesir, Turkey
- 2 Department of Mathematics, Balikesir University, Balikesir, Turkey
Applied Mathematics·Volume 05 (2014)·Pages 490–500·Published 7 February 2014·DOI10.4236/am.2014.53048
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Abstract
In this paper, we study the concept of soft sets which is introduced by Molodtsov [5] . We give the definition of (τ 1 ，τ 2 ) - semi open soft (resp. (τ 1 ，τ 2 ) - pre open soft, (τ 1 ，τ 2 ) - α - open soft, (τ 1 ，τ 2 )- β - open soft, (τ 1 ，τ 2 )＇ - semi open soft, (τ 1 ，τ 2 )＇ - pre open soft, (τ 1 ，τ 2 )＇- α - open soft, (τ 1 ，τ 2 )＇- β open soft) set via two soft topologies. Also we introduce (τ 1 ，τ 2 ) - regular open soft and ESDC on two soft topologies. The aim of this paper is to investigate properties of some mixed soft operations and characterizations of ESDC . Finally, we study τ 2 - ESDC soft topologies τ 1 .
Keywords(τ<sub>1</sub>，τ<sub>2</sub>)-Semi Open Soft(τ<sub>1</sub>，τ<sub>2</sub>)-Pre Open Soft(τ<sub>1<
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