摘要
为了进一步深入研究否定非对合剩余格的结构特征,引入否定非对合剩余格上的BF-同余关系概念并考察其性质.讨论了否定非对合剩余格L上的BF-同余关系与BF-理想间的关系,基于L的BF-理想A诱导出了一个BF-同余关系ΦA,证明了L在ΦA下的商代数构成一个剩余格.
In order to study the structural characteristics of negative non-involutive residuated lattices,the concept of BF-congruence Relation in negative non-involutive residuated lattice is introduced and its properties are investigated.The relations between BF-congruence Relation and BF-ideal are discussed in a negative non-involutive residuated lattice L.A BFcongruence Relation ΦA is induced base on an BF-ideal A in L.It is proved that the quotient algebra of L under ΦA formes a residuated lattice.
作者
刘春辉
张海燕
姜志廷
LIU Chun-hui;ZHANG Hai-yan;JIANG Zhi-ting(Department of Mathematics and Statistics,Chifeng University,Chifeng 024001,China;Department of Computer and Information Engineering,Chifeng University,Chifeng 024001,China)
出处
《数学的实践与认识》
北大核心
2019年第19期277-283,共7页
Mathematics in Practice and Theory
基金
内蒙古自治区高等学校科学研究项目(NJZY18206)
关键词
模糊逻辑
否定非对合剩余格
BF-同余关系
BF-理想
商代数
fuzzy logic
negative non-involutive residuated lattice
BF-congruence Relation
BF-idael
quotient algebra
