TY  - JOUR
T1  - FUZZY PRIMELY FILTERS IN BL-ALGEBRAS
AU  - Alqahtany, Manal Abdullah
AU  - Dale, Tanisha B.
PY  - 2025
DA  - October
Y2  - 2024
JF  - TWMS Journal of Applied and Engineering Mathematics
JO  - JAEM
PB  - Işık University Press
WT  - DergiPark
SN  - 2146-1147
SP  - 2439
EP  - 2452
VL  - 15
IS  - 10
LA  - en
AB  - 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.
KW  - fuzzy primely filters
KW  - fuzzy prime ideals
KW  - BL-algebra.
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UR  - https://dergipark.org.tr/en/pub/twmsjaem/issue//1795247
L1  - https://dergipark.org.tr/en/download/article-file/5292790
ER  -