摘要
在格蕴涵代数上引入了犹豫模糊LI-理想的概念,研究了它的性质和等价关系;建立了由犹豫模糊集生成的犹豫模糊LI-理想理论;并在包含条件下,证明了格蕴涵代数中由所有犹豫模糊LI理想组成的集合形成了一个完整的分配格。
The concept of hesitant fuzzy LI ideal is introduced into lattice implication algebra,and its properties and equivalence relations are studied;The hesitant fuzzy LI-ideal theory generated by hesitant fuzzy sets is established;Under the inclusion condition,it is proved that the set of all hesitant fuzzy LI-ideals in lattice implication algebra forms a complete distributive lattice.
作者
王轶中
WANG Yi-zhong(School of Business,City University of Hong Kong,Hong Kong,China)
出处
《模糊系统与数学》
北大核心
2023年第5期1-9,共9页
Fuzzy Systems and Mathematics
关键词
格蕴涵代数
犹豫模糊集
犹豫模糊集LI-理想
Lattice Implication Algebra
Hesitative Fuzzy Sets
Hesitant Fuzzy Set LI-ideal
