Summary: In this paper, fuzzy \(^\ast\) matroids are introduced via fuzzy \(^\ast\) flat axioms. The concepts of fuzzy \(^\ast m\)-structure, fuzzy \(\ast m\)-continuous function, fuzzy generalized \(^\ast m\)-structure, fuzzy generalized \(^\ast m\)-continuous function are introduced. Besides discussing interesting properties, several characterizations of the concepts introduced are investigated.