模糊子格与模糊子格上的模糊理想  

Fuzzy sublattices and Fuzzy Ideals of Fuzzy Sublattices

作　　者：刘银萍[1] 辛小龙[2] 

机构地区：[1]郑州升达经贸管理学院共同学科部,河南郑州451191 [2]西北大学数学系,陕西西安710127

出　　处：《模糊系统与数学》2014年第1期39-45,共7页Fuzzy Systems and Mathematics

基　　金：陕西省自然科学基金资助项目(2007A19);陕西省教育厅专项科研基金资助项目(08JK472)

摘　　要：借助格L上的二元运算∨,∧,诱导了格L上的模糊子集之间的二元运算∨,∧,并利用其对格L上的模糊子格和模糊理想进行了刻画。随后,给出了格L上的模糊子格的模糊理想的概念,并讨论了相关性质。By using of two binary operations ∨ and ∧ on lattice L, are introduced two binary operations V and A on the set of fuzzy subsets of lattice L. Moreover, by using of them, are described fuzzy sublattices and fuzzy ideals of lattice L. Then are also defined the concept of fuzzy ideals of fuzzy sublattiees, and related properties are also iscussed.

关 键 词：理想 格同态 模糊子格 模糊理想 

分 类 号：O159[理学—数学]