否定非对合剩余格的BF-理想集上诱导的剩余格结构  

Residuated Lattice Structure Induced on BF-ideals Set of a Negative Non-involutive Residuated Lattice

作　　者：刘春辉 LIU Chun-hui(School of Mathematics and Computer Science,Chifeng University,Chifeng 024001,China)

机构地区：[1]赤峰学院数学与计算机科学学院,内蒙古赤峰024001

出　　处：《数学的实践与认识》2020年第18期189-196,共8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：对否定非对合剩余格的BF-理想问题作进一步深入研究.在一个否定非对合剩余格L的全体BF-理想之集BFI(L)上构造了伴随运算■和■使之成为一个完备剩余格.In this paper,the problem of BF-ideals in negative non-involutive residuated lattices is further studied.The adjoint operations■and■are constructed on the set BFI(L)which containing all the BF-ideals in a negative non-involutive residuated lattice L to makes BFI(L)forms a complete residuated lattice.

关 键 词：模糊逻辑 否定非对合剩余格 BF-理想 完备剩余格 

分 类 号：O153.1[理学—数学]