Abstract :
Abstract This paper explores the notion of ?-continuity in neutrosophic bitopological spaces, a specialized area of mathematics that extends classical topological concepts to handle indeterminate or uncertain information. The study begins with the introduction of ???? semi-closed sets and ????-weakly continuous functions, which are fundamental building blocks. Key results include Proposition 2.1.3, which characterizes ????-weakly ?-continuous mappings in terms of pre-images and ?-interiors of open sets in the codomain space. Propositions 2.1.4 and 2.1.5 establish equivalent conditions for ????-weakly ?-continuous functions involving pre-images, closures, and regular closed sets. Propositions 2.1.6 and 2.1.7 provide alternative characterizations of ????-weakly ?-continuous functions, revealing connections with ?-interiors and pre-image relationships. These findings contribute to the understanding of topological properties in neutrosophic bitopological spaces, offering valuable insights for further research in this intricate field.
Keyword :
Keywords: Fuzzy Set, ?- Continuous Mapping, Neutrosophic Bitopological Spaces