INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING

Saravanakumar Gurusamy; K. A. Venkatesan; A. Arulselvam; Tharmalingam Gunasekar

INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING

Abstract

In this paper, we introduce the concept of intuitionistic fuzzy ideals ($IFI$) within the framework of partially ordered near-rings ($PONR$). We explore the fundamental properties and characterizations of $IFI$ in $PONR$, providing a comprehensive theoretical foundation for their study. Our work extends the existing literature on fuzzy algebraic structures, aligning with advancements in intuitionistic fuzzy sets and their applications in near-ring theory.

Keywords

References

Abou-Zaid, S., (1991), On fuzzy subnear-ring and ideals, Fuzzy Sets and Systems, 44, 139–146.
Atanasov, K. T., (1986), Intuitionistic fuzzy sets, J. Fuzzy Math., 20, 87-96.
Atanasov, K. T., (1994), New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 137–142.
Biswas, R., (1987), Intuitionistic fuzzy subgroups, Math. Forum., 10, 37–46.
Cho, Y. U., and Jun, Y. B., (2005), On intuitionistic fuzzy R-subgroups of near-rings, J. Appl. Math. Comput., 18, 665-677.
Kim, K. H., and Lee, J. G., (2008), Intuitionistic (T,S)-normed fuzzy ideals of -rings, International Mathematical Forum, 3(3), 115–123.
Kim, K., and Jun, Y. B., (2002), Intuitionistic fuzzy ideals of semigroups, Indian Journal of Pure and Applied Mathematics, 33(4), 443–449.
Kim, K. H., and Lee, J. G., (2005), On intuitionistic fuzzy bi-ideals of semigroups, Turkish Journal of Mathematics, 29(2), 202–210.

Details

Primary Language

English

Subjects

Mathematical Logic, Set Theory, Lattices and Universal Algebra

Journal Section

Research Article

Authors

Saravanakumar Gurusamy ^*
0000-0003-1309-7609
India

K. A. Venkatesan This is me
0009-0001-5574-2170
India

A. Arulselvam This is me
0000-0001-8383-2889
India

Tharmalingam Gunasekar
0000-0002-7268-1613
India

Publication Date

February 3, 2026

Submission Date

February 21, 2025

Acceptance Date

June 25, 2025

Published in Issue

Year 2026 Volume: 16 Number: 2

IZ

https://izlik.org/JA79KU83TN

Cite

RIS / Bibtex

APA

Gurusamy, S., Venkatesan, K. A., Arulselvam, A., & Gunasekar, T. (2026). INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING. TWMS Journal of Applied and Engineering Mathematics, 16(2), 236-248. https://izlik.org/JA79KU83TN

AMA

1.Gurusamy S, Venkatesan KA, Arulselvam A, Gunasekar T. INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING. JAEM. 2026;16(2):236-248. https://izlik.org/JA79KU83TN

Chicago

Gurusamy, Saravanakumar, K. A. Venkatesan, A. Arulselvam, and Tharmalingam Gunasekar. 2026. “INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING”. TWMS Journal of Applied and Engineering Mathematics 16 (2): 236-48. https://izlik.org/JA79KU83TN.

EndNote

Gurusamy S, Venkatesan KA, Arulselvam A, Gunasekar T (February 1, 2026) INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING. TWMS Journal of Applied and Engineering Mathematics 16 2 236–248.

IEEE

[1]S. Gurusamy, K. A. Venkatesan, A. Arulselvam, and T. Gunasekar, “INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING”, JAEM, vol. 16, no. 2, pp. 236–248, Feb. 2026, [Online]. Available: https://izlik.org/JA79KU83TN

ISNAD

Gurusamy, Saravanakumar - Venkatesan, K. A. - Arulselvam, A. - Gunasekar, Tharmalingam. “INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING”. TWMS Journal of Applied and Engineering Mathematics 16/2 (February 1, 2026): 236-248. https://izlik.org/JA79KU83TN.

JAMA

1.Gurusamy S, Venkatesan KA, Arulselvam A, Gunasekar T. INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING. JAEM. 2026;16:236–248.

MLA

Gurusamy, Saravanakumar, et al. “INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 2, Feb. 2026, pp. 236-48, https://izlik.org/JA79KU83TN.

Vancouver

1.Saravanakumar Gurusamy, K. A. Venkatesan, A. Arulselvam, Tharmalingam Gunasekar. INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING. JAEM [Internet]. 2026 Feb. 1;16(2):236-48. Available from: https://izlik.org/JA79KU83TN