HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS

B Elavarasan; S. Meenakshi1; K Porselvi

HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS

Abstract

Fuzzy set theory has been proven to be a powerful tool for dealing with uncertainty in decision-making processes. This theory addresses uncertain parameters. Soft set theory is another mathematical concept used for managing uncertainty in decision-making processes and imprecision. Integrating the ideas of a fuzzy set and a soft set, Jun et al. established the concept of hybrid structure. We should emphasize that hybrid structures combine soft and fuzzy set theories. The main objective of this paper is to explore the concept of hybrid bi-ideals and hybrid quasi-ideals in ordered semirings. In addition, we construct an example of hybrid bi-ideal and hybrid quasi-ideal in an ordered semiring. We provide various properties of hybrid bi-ideal and hybrid quasi-ideal in ordered semirings.

Keywords

Thanks

The authors would like to express their sincere thanks to the anonymous referees for their valuable comments and suggestions, which improved the paper a lot.

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

B Elavarasan ^*
0000-0002-1414-2814
India

S. Meenakshi1
0000-0003-0720-3647
India

K Porselvi
0000-0003-4097-3467
India

Publication Date

May 4, 2026

Submission Date

April 1, 2025

Acceptance Date

July 11, 2025

Published in Issue

Year 2026 Volume: 16 Number: 5

IZ

https://izlik.org/JA87MB83PY

Cite

RIS / Bibtex

APA

Elavarasan, B., Meenakshi1, S., & Porselvi, K. (2026). HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS. TWMS Journal of Applied and Engineering Mathematics, 16(5), 584-594. https://izlik.org/JA87MB83PY

AMA

1.Elavarasan B, Meenakshi1 S, Porselvi K. HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS. JAEM. 2026;16(5):584-594. https://izlik.org/JA87MB83PY

Chicago

Elavarasan, B, S. Meenakshi1, and K Porselvi. 2026. “HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS”. TWMS Journal of Applied and Engineering Mathematics 16 (5): 584-94. https://izlik.org/JA87MB83PY.

EndNote

Elavarasan B, Meenakshi1 S, Porselvi K (May 1, 2026) HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS. TWMS Journal of Applied and Engineering Mathematics 16 5 584–594.

IEEE

[1]B. Elavarasan, S. Meenakshi1, and K. Porselvi, “HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS”, JAEM, vol. 16, no. 5, pp. 584–594, May 2026, [Online]. Available: https://izlik.org/JA87MB83PY

ISNAD

Elavarasan, B - Meenakshi1, S. - Porselvi, K. “HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS”. TWMS Journal of Applied and Engineering Mathematics 16/5 (May 1, 2026): 584-594. https://izlik.org/JA87MB83PY.

JAMA

1.Elavarasan B, Meenakshi1 S, Porselvi K. HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS. JAEM. 2026;16:584–594.

MLA

Elavarasan, B, et al. “HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 5, May 2026, pp. 584-9, https://izlik.org/JA87MB83PY.

Vancouver

1.B Elavarasan, S. Meenakshi1, K Porselvi. HYBRID BI-IDEALS AND HYBRID QUASI-IDEALS IN ORDERED SEMIRINGS. JAEM [Internet]. 2026 May 1;16(5):584-9. Available from: https://izlik.org/JA87MB83PY