赋范格H蕴涵代数和模糊格H蕴涵代数  

Normed Lattice H Implication Algebras and Fuzzy Lattice H Implication Algebras

作　　者：赖家俊[1] 徐扬[2] 乔全喜[1] 

机构地区：[1]西南交通大学智能控制开发中心,成都610031 [2]西南交通大学数学系,成都610031

出　　处：《计算机科学》2008年第11期156-159,共4页Computer Science

基　　金：国家自然科学基金资助项目(60474022);教育部博士点专项基金资助项目(20060613007)

摘　　要：在范数的条件下扩充了格H蕴涵代数的概念,即赋范格H蕴涵代数,并讨论一些性质。然后将模糊集合论运用于赋范格H蕴涵代数,给出了模糊赋范格H蕴涵代数的定义,得到了一些基本性质。通过使用两个赋范格H蕴涵代数之间的映射定义了赋范格H蕴涵代数同态,且得到了一些性质。最后得到了在赋范格H蕴涵代数中的数列对于蕴涵距离是有界的结论。Extended the notion of lattice H implication algebra L under a norm situation （i. e. , normed lattice H implication algebras）, and some properties were discussed. At the other hand, by applying the fuzzy set concept to normed lattice H implication algebras, introduced the notion of fuzzy normed lattice H implication algebras and discussed some of the basic properties. Defined a normed lattice H implication homomorphism by use of a mapping f which has two normed lattice H implication algebras L1 and L2, and obtain its properties. It is shown that sequences operations to implication distance in a normed lattice H implication algebra are bounded.

关 键 词：赋范格H蕴涵代数 模糊赋范格H蕴涵代数 赋范格H蕴涵代数同态 数列 

分 类 号：O154[理学—数学] O159[理学—基础数学]