On the fundamental theorems of (α, β)-Pythagorean fuzzy ideals of rings

Abstract

An (α, β)-Pythagorean fuzzy set is a modern approach to handling ambiguity. This article represents the perception of an (α, β)-Pythagorean fuzzy coset of any (α, β)-Pythagorean fuzzy ideal of rings. We demonstrate several characteristics of (α, β)-Pythagorean fuzzy cosets. Moreover, we explain the (α, β)-Pythagorean fuzzy quotient ring of (α, β)-Pythagorean fuzzy ideals of any ring. Furthermore, we present the isomorphism theorems of (α, β)-Pythagorean fuzzy ideals.