Some Mixed Soft Operations and Extremally Soft Disconnectedness via Two Soft Topologies

Nihal Arabacıoğlu Tas, Ahu Acikgoz

Department of Mathematics, Balikesir University, Balikesir, Turkey.

DOI: 10.4236/am.2014.53048                

Abstract

In this paper, we study the concept of soft sets which is introduced by Molodtsov [5]. We give the definition of (τ₁，τ₂)-semi open soft (resp. (τ₁，τ₂)-pre open soft, (τ₁，τ₂)-α-open soft, (τ₁，τ₂)-β-open soft, (τ₁，τ₂)＇-semi open soft, (τ₁，τ₂)＇-pre open soft, (τ₁，τ₂)＇-α-open soft, (τ₁，τ₂)＇-βopen soft) set via two soft topologies. Also we introduce (τ₁，τ₂)-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 τ₂-ESDC soft topologies τ₁.

Keywords

(τ₁，τ₂)-Semi Open Soft; (τ₁，τ₂)-Pre Open Soft; (τ₁，τ₂)-α-Open Soft; (τ₁，τ₂)-β-Open Soft; (τ₁，τ₂)＇-Semi Open Soft; (τ₁，τ₂)＇-Pre Open Soft; (τ₁，τ₂)＇-α-Open Soft; (τ₁，τ₂)＇-β-Open Soft; (τ₁，τ₂)-Regular Open Soft; ESDC

Conflicts of Interest

The authors declare no conflicts of interest.

References

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