否定非对合剩余格的BF-理想  

BF-ideals in Negative Non-involutive Residuated Lattices

作　　者：刘春辉[1] 姜志廷[2] 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)

机构地区：[1]赤峰学院数学与统计学院,内蒙古赤峰024001 [2]赤峰学院计算机与信息工程学院,内蒙古赤峰024001 [3]赤峰学院师范学院,内蒙古赤峰024001

出　　处：《数学的实践与认识》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)

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.

关 键 词：模糊逻辑 否定非对合剩余格 BF-理想 同态 

分 类 号：O141[理学—数学]