吉林大学学报（理学版）2026，Vol.64Issue(3)：545-550,6.DOI:10.13413/j.cnki.jdxblxb.2025246
基于模糊等式的Ω-BCK代数
Ω-BCK Algebras Based on Fuzzy Equalities
摘要
Abstract
We introduced the concept of Ω-BCK algebras in the framework of fuzzy equalities.Firstly,we replaced the crisp equalities in BCK algebras with fuzzy equalities and gave the definition of Ω-BCK algebras.Secondly,we characterized the substructures of Ω-BCK algebras and proved the necessary and sufficient conditions for the determination of Ω-BCK subalgebras.Thirdly,by using fuzzy congruence relations,we obtained the relationship between Ω-BCK algebras and BCK algebras.Finally,we generalized the partial order relation of BCK algebras and defined the E-partial order relation of Ω-BCK algebras.关键词
Ω-BCK代数/完备格/模糊等式/模糊恒等式/模糊子代数/E-偏序关系Key words
Ω-BCK algebra/complete lattice/fuzzy equality/fuzzy identity/fuzzy subalgebra/E-partial order relation分类
数理科学引用本文复制引用
刘芸,周鑫,陈良云..基于模糊等式的Ω-BCK代数[J].吉林大学学报（理学版）,2026,64(3):545-550,6.基金项目
国家自然科学基金(批准号:12471021)、伊犁师范大学提升学科综合实力专项项目(批准号:2022XKZY08)、伊犁师范大学科研创新项目(批准号:YSD2025CX01)和伊犁师范大学高级别培育项目(批准号:YSPY2022011). （批准号:12471021）
