$\alpha$-Q-fuzzy Subgroups

Abstract

In this paper, the notations of $\alpha$-Q-fuzzy subset and $\alpha$-Q-fuzzy subgroup are introduced, and necessary properties related to these two concepts are proven. In the past part in this work, the effect of the $\alpha$-Q-fuzzy subgroup on the image and inverse-image under group anti-homomorphism are studied.