On The Topological Spaces of Neutrosophic Real Intervals.

Hatamleh, Raed; Hazaymeh, Ayman

In this paper, we present the topological space of intervals based neutrosophic real numbers a bI, where we clarify how neutrosophic real intervals can be expressed according to the neutrosophic partial order relation, and we use these intervals to build a topological space. On the other hand, we use a similar argument to build a topological space over the intervals of refined neutrosophic numbers, with many illustrated and related examples on open and closed sets.

NEUTROSOPHIC logic; REAL numbers; PARTIAL differential equations; TOPOLOGICAL spaces; SET theory

International Journal of Neutrosophic Science (IJNS), 2025, Vol 25, Issue 1, p130

2692-6148

Academic Journal

10.54216/IJNS.250111