摘要
运用fuzzy集的思想和方法对格蕴涵代数的（∈，∈∨q[k]）-fuzzy LI-理想概念作进一步研究．引入了格蕴涵代数的（∈-，∈-∨q[k]-）-fuzzy LI-理想的概念并给出了它的一个等价刻画．讨论了（∈，∈∨q[k]）-fuzzy LI-理想和（∈-，∈-∨q[k]-）-fuzzy LI-理想与LI-理想的关系，建立并证明了相应的关系定理．
The paper further studies （∈,∈∨q[k]）-fuzzy LI-ideals of lattice implication algebras by using the ideas and methods of fuzzy sets. The notion of （∈-,∈-∨q[k]-）-fuzzy LI-ideals is introduced and their a equivalent characterizations is obtained. The relations between （∈,∈∨q[k]）-fuzzy LI-ideals, （∈-,∈-∨q[k]-）-fuzzy LI-ideals and LI-ideals are discussed,and several relation theorems are established and proved.
作者
刘春辉
LIU Chun-hui(Department of Mathematics and Statistics, Chifeng University, Chifeng 024001, Chin)
出处
《数学的实践与认识》
北大核心
2018年第6期298-303,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10371106,60774073)
