否定非对合剩余格上的BF-同余关系  

BF-congruence Relations in Negative Non-involutive Residuated Lattices

作　　者：刘春辉[1] 张海燕[1] 姜志廷[2] 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)

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

出　　处：《数学的实践与认识》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)

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.

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 

分 类 号：G63[文化科学—教育学]