On supra soft topological ordered spaces

Abstract

In this work, we initiate the concept of supra soft topological ordered spaces which are consider as an extension of the concept of soft topological ordered spaces. We define and discuss some notions via supra soft topological ordered spaces such as monotone interior, closure and limit operators. Then, we formulate some supra soft separation axioms, namely supra p-soft Ti-ordered spaces These axioms are studied in terms of the ordinary points and the two relations of natural belong and total non-belong. We provide some illustrative examples to show the relationships between them and to investigate the mutual relations between them and their parametric supra topologies. Additionally, we characterize the concepts of supra p-soft Ti-ordered spaces (i = 1, 2), supra p-soft regularly ordered and supra soft normally ordered spaces. Finally, we conclude some findings related to hereditary and topological properties and finite product spaces.

Keywords

• supra soft topological ordered space
• supra p-soft ti-ordered space
• finite product spaces