摘要
为了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的BF-理想概念并考察其性质.证明了BF-理想的BF-交集、同态像和同态原像也是BF-理想.同时,给出了BF-理想的BF-并集成为BF-理想的条件.
In order to study the structural characteristics of negative non-involutive residuated lattices,the concept of BF-ideal of negative non-involutive residuated lattice is introduced and its properties are investigated.It is proved that BF-intersection of some BF-ideals,ho momorphism image and inverse image of a BF-ideal are also BF-ideals.At the same time,a condition which makes BF-union of some BF-ideals to be a BF-ideal is given.
作者
刘春辉
姜志廷
秦学成
LIU Chun-hui;JIANG Zhi-ting;QIN Xue-cheng(Department of Mathematics and Statistics,Chifeng University,Chifeng 024001,China;Department of Computer and Information Engineering,Chifeng University,Chifeng 024001,China;Department of Normal,Chifeng University,Chifeng 024001,China)
出处
《数学的实践与认识》
北大核心
2019年第13期245-251,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-理想
同态
fuzzy logic
negative non-involutive residuated lattice
BF-idael
homomorphism
