|Peer Reviewed, Refereed & Open Access Journal | Follows UGC CARE Journal Norms and Guidelines|
|ISSN 2349-6037|Approved by ISSN, NSL & NISCAIR| Impact Factor: 9.274 |ESTD:2013|
|Scholarly Open Access Journal, Peer-Reviewed, and Refereed Journals, Impact factor 9.274 (Calculated by Google Scholar and Semantic Scholar | AI-Powered Research Tool | Multidisciplinary, Quarterly, Citation Generator, Digital Object Identifier(DOI)|
| TITLE | Characterization and Interrelationship of Q-Fuzzy, Anti Q-Fuzzy, and Intuitionistic Q-Fuzzy Sub-Nearrings in Nearing-Based Algebraic Systems |
|---|---|
| ABSTRACT | This research paper presents a detailed algebraic characterization and comparative study of Q-fuzzy, anti Q-fuzzy, and intuitionistic Q-fuzzy subnearrings within nearing-based algebraic systems. By establishing foundational properties and analyzing their interrelationships, the study aims to enrich the structural understanding of fuzzy algebraic frameworks. The findings provide a unified perspective on these advanced fuzzy constructs, highlighting their distinctions and connections, with potential implications for both theoretical development and computational applications. |
| AUTHOR | Thamaraiselvi P, Dr. M. Valliathal PhD Research Scholar, Department of Mathematics, CNC, Erode, Tamil Nadu, India Research Supervisor, Associate Professor & Head, CNC, Erode, Tamil Nadu, India |
| PUBLICATION DATE | 2026-01-23 14:26:32 |
| VOLUME | 14 |
| ISSUE | 1 |
| DOI | DOI: 10.15662/IJMSERH.2026.1401006 |
| pdf/2026/1/6_Characterization and Interrelationship of Q-Fuzzy, Anti Q-Fuzzy, and Intuitionistic Q-Fuzzy Sub-Nearrings in Nearing-Based Algebraic Systems.pdf | |
| KEYWORDS | |
| References | 1. Kazanc?, O., Yamak, S., & Y?lmaz, ?. (2007). On intuitionistic Q-fuzzy R-subgroups of near-rings. International Mathematical Forum, 2(59), 2899–2910. 2. Latha, M., & Anitha, N. (2015). Anti (Q, L)-Fuzzy Subhemirings of a Hemiring. Journal of Advances in Mathematics, 11(4), 5184–5185. 3. Anitha, B. (2019). On (?, ?)-anti-Q-fuzzy subrings. AIP Conference Proceedings, 2177, 020005. 4. Chitra, V., & [Co-author]. (2013). A study on Q-fuzzy subnearrings of a nearring. Journal of Advances in Mathematics, 4(1), 320–324. 5. Solairaju, A., Sarangapani, P., Nagarajan, R., & Muruganantham, P. (2013). Anti Q-fuzzy M-subgroups of near rings. International Journal of Mathematics Trends and Technology, 4(8), Article ID IJMTT-V4I8P1. 6. Batool, N., Hussain, S., Kausar, N., Munir, M., Li, R. Y. M., & Khan, S. (2023). Decision making under incomplete data: Intuitionistic multi fuzzy ideals of near-ring approach. Decision Making: Applications in Management and Engineering, 6(1). 7. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8(3), 338–353. 8. Bhakat, S. K., & Das, P. (2004). Q-Fuzzy subgroups. Fuzzy Sets and Systems, 139(3), 545–558. 9. Park, J. H. (2004). Fuzzy ideals and fuzzy subrings. Journal of Fuzzy Mathematics, 12(1), 103–112. 10. Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96. 11. Mordeson, J. N., & Malik, D. S. (2000). Fuzzy Commutative Algebra. World Scientific. 12. Pilz, G. (1983). Near-rings: The theory and its applications. North-Holland. |
Copyright@IJMSERH