Certain properties of ω-Ԛ-fuzzy subrings

In this paper, we define the ω-Ԛ-ffuzzy subring and discussed various fundamental aspects of ω-Ԛ -fuzzy subrings. We introduce the concept of ω-Ԛ-level subset of this new fuzzy set and prove that ω-Ԛ-level subset of ω-Ԛ-fuzzy subring form a ring. We define ω-Ԛ-fuzzy ideal and show that set of all ω-Ԛ-fuzzy cosets form a ring. Moreover, we investigate the properties of homomorphic image of ω-Ԛ-fuzzy subring