四川师范大学学报（自然科学版）2025，Vol.48Issue(4)：558-568,11.DOI:10.3969/j.issn.1001-8395.2025.04.014
非对合剩余格的BF-MV理想
BF-MV-ideals in Non-involutive Residuated Lattices
摘要
Abstract
In this paper,the problem of bipolar fuzzy ideals(BF-ideals for short)in non-involutive residuated lattices is studied in deepth.Firstly,the notion of BF-MV-ideals is introduced in non-involutive residuated lattices and some of its properties and character-izations are obtained.Secondly,the relationships among BF-MV-ideals and other type BF-ideals are discussed.Finally,the character-ization theorem of an involutive residuated lattice forms a MV-algebra is given by using the properties of BF-MV-ideals.关键词
模糊逻辑/非对合剩余格/BF-理想/BF-MV理想/MV代数Key words
fuzzy logic/non-involutive residuated lattice/BF-ideal/BF-MV-ideal/MV-algebra分类
数学引用本文复制引用
刘春辉..非对合剩余格的BF-MV理想[J].四川师范大学学报（自然科学版）,2025,48(4):558-568,11.基金项目
内蒙古自治区高等学校科学研究项目(NJZY21138和NJZY22146) 赤峰学院教育教学研究项目(JYJXZ202204)对本文给予了资助,谨致谢意. （NJZY21138和NJZY22146）
