FUZZY PRIMELY FILTERS IN BL-ALGEBRAS
Abstract
This study introduces and rigorously examines the concept of fuzzy primely filters (FPYFs) in BL-algebras, marking a significant advancement in the field. The investigation extends beyond conceptualization to elucidate the complex interrelationships between FPYFs and established fuzzy filter classes within the BL-algebraic framework. Through comprehensive analysis, we uncover intricate connections and potential hierarchical structures among these diverse filter types. Our findings not only expand the theoretical landscape of BL-algebras but also provide a robust foundation for further exploration of fuzzy filter relationships. This research contributes to a deeper understanding of the algebraic structures underpinning fuzzy logic systems, offering new insights into the fundamental properties of BL-algebras and their associated filters.
Furthermore, by leveraging the concept of the complement set, we embark on a rigorous investigation into the interplay between FPYFs and fuzzy prime ideals (FPEIs). This investigation seeks to elucidate the nature of their interaction and potential implications for the broader theory of BL-algebras.
Keywords
Thanks
The authors would like to thank the editor and the anonymous reviewers for their constructive comments and suggestions to improve the quality of the paper.
References
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Details
Primary Language
English
Subjects
Mathematical Logic, Set Theory, Lattices and Universal Algebra
Journal Section
Research Article
Authors
Publication Date
October 1, 2025
Submission Date
September 6, 2024
Acceptance Date
December 14, 2024
Published in Issue
Year 2025 Volume: 15 Number: 10
APA
Alqahtany, M. A., & Dale, T. B. (2025). FUZZY PRIMELY FILTERS IN BL-ALGEBRAS. TWMS Journal of Applied and Engineering Mathematics, 15(10), 2439-2452. https://izlik.org/JA29RU87SG
AMA
1.Alqahtany MA, Dale TB. FUZZY PRIMELY FILTERS IN BL-ALGEBRAS. JAEM. 2025;15(10):2439-2452. https://izlik.org/JA29RU87SG
Chicago
Alqahtany, Manal Abdullah, and Tanisha B. Dale. 2025. “FUZZY PRIMELY FILTERS IN BL-ALGEBRAS”. TWMS Journal of Applied and Engineering Mathematics 15 (10): 2439-52. https://izlik.org/JA29RU87SG.
EndNote
Alqahtany MA, Dale TB (October 1, 2025) FUZZY PRIMELY FILTERS IN BL-ALGEBRAS. TWMS Journal of Applied and Engineering Mathematics 15 10 2439–2452.
IEEE
[1]M. A. Alqahtany and T. B. Dale, “FUZZY PRIMELY FILTERS IN BL-ALGEBRAS”, JAEM, vol. 15, no. 10, pp. 2439–2452, Oct. 2025, [Online]. Available: https://izlik.org/JA29RU87SG
ISNAD
Alqahtany, Manal Abdullah - Dale, Tanisha B. “FUZZY PRIMELY FILTERS IN BL-ALGEBRAS”. TWMS Journal of Applied and Engineering Mathematics 15/10 (October 1, 2025): 2439-2452. https://izlik.org/JA29RU87SG.
JAMA
1.Alqahtany MA, Dale TB. FUZZY PRIMELY FILTERS IN BL-ALGEBRAS. JAEM. 2025;15:2439–2452.
MLA
Alqahtany, Manal Abdullah, and Tanisha B. Dale. “FUZZY PRIMELY FILTERS IN BL-ALGEBRAS”. TWMS Journal of Applied and Engineering Mathematics, vol. 15, no. 10, Oct. 2025, pp. 2439-52, https://izlik.org/JA29RU87SG.
Vancouver
1.Manal Abdullah Alqahtany, Tanisha B. Dale. FUZZY PRIMELY FILTERS IN BL-ALGEBRAS. JAEM [Internet]. 2025 Oct. 1;15(10):2439-52. Available from: https://izlik.org/JA29RU87SG