On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

$(\alpha,\beta)$
-Pythagorean fuzzy set is a very efficient way of dealing with uncertainty. In this article, we have introduced the notions of
$(\alpha,\beta)$
- Pythagorean fuzzy subring and
$(\alpha,\beta)$
- Pythagorean fuzzy ideal of a ring. Further, we have briefly described various results related to it. Also, we have discussed the level subring of an
$(\alpha,\beta)$
- Pythagorean fuzzy subring. Moreover, we have studied the direct product and ring homomorphism of
$(\alpha,\beta)$
- Pythagorean fuzzy subrings.