On Soft Lattice Topological Spaces

Abstract

In this paper, we introduce Soft Lattice topological spaces which are defined over a soft lattice L with a fixed set of parameter P and it is also a generalisation of soft topological spaces. The notion of soft L-open sets, soft L-closed sets, soft L-closure, soft L-interior point and soft L-neighbourhood are introduced. Further some basic properties of Soft L-Topology are also investigated.

Keywords:

• Soft set
• soft L-set
• soft topology
• soft L-topology

Acknowledgments

The authors are very much indebted to Dr. Sunil Jacob John, Department of Mathematics, National Institute of Technology, Calicut, Kerala, India for his constant encouragement throughout the preparation of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Sandhya S. Pai

Sandhya S. Pai currently working as an assistant professor in the department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India. Area of interest is Soft sets and Soft topological spaces.

T. Baiju

T. Baiju currently working as an associate professor, senior scale in the department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India. Area of interest is Fuzzy Mathematics and Soft topological spaces.