I (D,B)-supra pre maps via supra topological ordered spaces

Abstract

Sayed [19] defined a supra 𝑝𝑟𝑒-open set and studied its basic properties. In this work, we introduce various forms of supra continuous (supra open, supra closed, supra homeomorphism) maps in supra topological ordered spaces by using the notions of supra 𝑝𝑟𝑒-open sets and increasing (decreasing, balancing) sets. We illustrate the relationships among these maps with the help of examples. Moreover, we investigate under what conditions these maps preserve some separation axioms between supra topological ordered spaces.