ON THE FUNDAMENTAL THEOREMS OF (α, β)-PYTHAGOREAN FUZZY IDEALS OF RINGS

ON THE FUNDAMENTAL THEOREMS OF (α, β)-PYTHAGOREAN FUZZY IDEALS OF RINGS

S. Bhunia , G. Ghorai

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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.

Keywords

(α, β)-Pythagorean fuzzy set, (α, β)-Pythagorean fuzzy coset, (α, β)-Pythagorean fuzzy ideal, (α, β)-Pythagorean fuzzy quotient ring.