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

Supriya Bhunia; Ganesh Ghorai

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

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

References

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Details

Primary Language

English

Subjects

Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Authors

Supriya Bhunia
India

Ganesh Ghorai ^*
India

Publication Date

October 1, 2025

Submission Date

October 4, 2024

Acceptance Date

January 13, 2025

Published in Issue

Year 2025 Volume: 15 Number: 10

IZ

https://izlik.org/JA43UT67LD

Cite

RIS / Bibtex

APA

Bhunia, S., & Ghorai, G. (2025). ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS. TWMS Journal of Applied and Engineering Mathematics, 15(10), 2530-2542. https://izlik.org/JA43UT67LD

AMA

1.Bhunia S, Ghorai G. ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS. JAEM. 2025;15(10):2530-2542. https://izlik.org/JA43UT67LD

Chicago

Bhunia, Supriya, and Ganesh Ghorai. 2025. “ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS”. TWMS Journal of Applied and Engineering Mathematics 15 (10): 2530-42. https://izlik.org/JA43UT67LD.

EndNote

Bhunia S, Ghorai G (October 1, 2025) ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS. TWMS Journal of Applied and Engineering Mathematics 15 10 2530–2542.

IEEE

[1]S. Bhunia and G. Ghorai, “ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS”, JAEM, vol. 15, no. 10, pp. 2530–2542, Oct. 2025, [Online]. Available: https://izlik.org/JA43UT67LD

ISNAD

Bhunia, Supriya - Ghorai, Ganesh. “ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS”. TWMS Journal of Applied and Engineering Mathematics 15/10 (October 1, 2025): 2530-2542. https://izlik.org/JA43UT67LD.

JAMA

1.Bhunia S, Ghorai G. ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS. JAEM. 2025;15:2530–2542.

MLA

Bhunia, Supriya, and Ganesh Ghorai. “ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS”. TWMS Journal of Applied and Engineering Mathematics, vol. 15, no. 10, Oct. 2025, pp. 2530-42, https://izlik.org/JA43UT67LD.

Vancouver

1.Supriya Bhunia, Ganesh Ghorai. ON THE FUNDAMENTAL THEOREMS OF $(\alpha,\beta)$-PYTHAGOREAN FUZZY IDEALS OF RINGS. JAEM [Internet]. 2025 Oct. 1;15(10):2530-42. Available from: https://izlik.org/JA43UT67LD