Abstract
In this paper, we defined the complex intuitionistic fuzzy subring and introduced some new concepts like Intuitionistic fuzzy sets and homogeneous complex intuitionistic fuzzy sets. Then, we investigated some of characteristics of complex intuitionistic fuzzy subring. The relationship between complex intuitionistic fuzzy subring and intuitionistic fuzzy subring is also investigated. It is found that every complex intuitionistic fuzzy subring yields two intuitionistic fuzzy subring. Finaly, we defined the image and inverse image of complex intuitionistic fuzzy subring under ring homomorphism, and thus studied their elementary properties.
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