ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS

Year 2025, Volume: 15 Issue: 10, 2530 - 2542, 01.10.2025

Supriya Bhunia , Ganesh Ghorai

Abstract

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

Keywords

$(\alpha,\beta)$-Pythagorean fuzzy set , $(\alpha,\beta)$-Pythagorean fuzzy coset , $(\alpha,\beta)$-Pythagorean fuzzy ideal , $(\alpha,\beta)$-Pythagorean fuzzy quotient ring

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