A study on Soft Pre-Open Sets using γ Operation

  • Jamil Mahmoud Jamil College of Science Diyala University, Baquaba, Diyala, Iraq
Keywords: soft γ regular space, soft γ pre open, strong soft γ pre closure, locally strong soft γ pre closed, soft open

Abstract

The concept of strong soft  pre-open set was initiated by Biswas and Parsanann.We utilize this notion to study several characterizations and properties of this set. We investigate the relationships between this set and other types of soft open sets. Moreover, the properties of the strong soft  pre-interior and closure are discussed. Furthermore, we define a new concept by using strong soft  pre-closed that we denote as locally strong soft  pre-closed, in which several results are obtained. We establish a new type of soft pre-open set, namely soft  pre-open. Also, we continue to study pre-  soft open set and discuss the relationships among all these sets. Some counter examples are given to show some relationships obtained in this work.

Published
2021-04-30
How to Cite
Jamil, J. M. (2021). A study on Soft Pre-Open Sets using γ Operation. Iraqi Journal of Science, 62(4), 1276-1283. https://doi.org/10.24996/ijs.2021.62.4.23
Section
Mathematics