Fuzzy ℬ ∗ -open sets and Fuzzy ℬ ∗ -continuity in 푆ˆ ostak’s fuzzy topological spaces

Abstract

The main objective of this article is to introduce and develop the concepts of 푟 -fuzzy ℬ ∗-open sets and 푟 -fuzzy ℬ  -continuous functions within a topological framework. These notions are investigated in detail, and their relationships with existing classes of open sets and continuous functions are examined. Furthermore, various fundamental properties and illustrative results concerning these newly introduced concepts are established, contributing to a deeper understanding of their role in general topology.