NEUTROSOPHIC HYPERSOFT TOPOLOGICAL SPACES VIA -OPEN SETS

In this paper, we introduce a new class of neutrosophic hypersoft open sets, termed neutrosophic hypersoft -open sets, which are defined as the union of neutrosophic hypersoft d-pre-open sets and neutrosophic hypersoft -semi-open sets within the framework of neutrosophic hypersoft topological spaces. We further explore the concept of near open sets, examining their properties and providing illustrative examples of neutrosophic hypersoft -open sets. Additionally, the notions of neutrosophic hypersoft -interior and -closure are formally defined, and their fundamental properties are analyzed. Moreover, we derive intuitionistic hypersoft topology and fuzzy hypersoft topology as special cases from the general structure of neutrosophic hypersoft topology.