SavedAdd your journal

Journals / TWMS Journal of Applied and Engineering Mathematics / 2026 / Volume: 16 Issue: 2

INTUITIONISTIC FUZZY IDEAL OF PARTIALLY ORDERED NEAR-RING

Saravanakumar Gurusamy(Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology)0000-0003-1309-7609
K. A. Venkatesan(Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology)0009-0001-5574-2170
A. Arulselvam(Bharath Institute of HigherEducation and Research)0000-0001-8383-2889
Tharmalingam Gunasekar(Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology)0000-0002-7268-1613
Pages
—
Publication Date
2026-02-03
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our work extends the existing literature on fuzzy algebraic structures, aligning with advancements in intuitionistic fuzzy sets and their applications in near-ring theory.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the concept of intuitionistic fuzzy ideals ($IFI$) within the framework of partially ordered near-rings ($PONR$).
📊
Key Findings & Data:We explore the fundamental properties and characterizations of $IFI$ in $PONR$, providing a comprehensive theoretical foundation for their study.
💡
Conclusion & Impact:Our work extends the existing literature on fuzzy algebraic structures, aligning with advancements in intuitionistic fuzzy sets and their applications in near-ring theory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Intuitionistic fuzzy ideal of partially ordered near-ring · Intuitionistic fuzzy left ideal of partially ordered near-ring · Fuzzy algebraic structures

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.

🔖

Cite This Article

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, Volume: 16 Issue: 2. https://ajindex.com/articles/1604261

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. Abou-Zaid, S., (1991), On fuzzy subnear-ring and ideals, Fuzzy Sets and Systems, 44, 139–146.
  2. Atanasov, K. T., (1986), Intuitionistic fuzzy sets, J. Fuzzy Math., 20, 87-96.
  3. Atanasov, K. T., (1994), New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 137–142.
  4. Biswas, R., (1987), Intuitionistic fuzzy subgroups, Math. Forum., 10, 37–46.
  5. Cho, Y. U., and Jun, Y. B., (2005), On intuitionistic fuzzy R-subgroups of near-rings, J. Appl. Math. Comput., 18, 665-677.
  6. Kim, K. H., and Lee, J. G., (2008), Intuitionistic (T,S)-normed fuzzy ideals of -rings, International Mathematical Forum, 3(3), 115–123.
  7. Kim, K., and Jun, Y. B., (2002), Intuitionistic fuzzy ideals of semigroups, Indian Journal of Pure and Applied Mathematics, 33(4), 443–449.
  8. Kim, K. H., and Lee, J. G., (2005), On intuitionistic fuzzy bi-ideals of semigroups, Turkish Journal of Mathematics, 29(2), 202–210.
  9. Kuroki, N., (1979), Fuzzy bi-ideals in semigroups, Commentarii Mathematici Universitatis Sancti Pauli, 28, 17–21.
  10. Kuroki, N., (1981), On fuzzy ideals and fuzzy bi-ideals in semigroups, Fuzzy Sets and Systems, 5(2), 203–215.
  11. Mordeson, J. N., Malik, D. S., et al., (2003), Fuzzy semigroups, Springer-Verlag Berlin Heidelberg, 307.
  12. Murugadas, P., and Vetrivel, V., (2019), (T,S)-Intuitionistic fuzzy ideals in near-rings, Malaya Journal of Matematik, Vol. S, No. 1, 321-326.
  13. Radhakrishna, A., and Bhandari, M., (1977), On lattice ordered near-rings, Pure Appl. Math. Sci.
  14. Rosenfeld, A., (1971), Fuzzy groups, Journal of Mathematical Analysis and Application, 35, 512–517.
  15. Zadeh, L. A., (1965), Fuzzy Sets, Information and Control, 8, 338-353.
  16. Zhan, J., and Ma, X., (2004), Intuitionistic fuzzy ideals of near-rings, Scientae Math Japonicae, 61(2), 219–223.