Axis Problem of Rough 3-Valued Algebras  

作　　者：Jianhua Dai Weidong Chen Yunhe Pan 

机构地区：[1]Institute of Artificial Intelligence, Zhejiang University, Hangzhou 310027, China [2]College of Computer Science, Zhejiang University, Hangzhou 310027, China

出　　处：《南昌工程学院学报》2006年第2期48-51,共4页Journal of Nanchang Institute of Technology

基　　金：The 973 NationalKey BasicResearchand Development Program of China (No .2002CB312106 ); theChinaPostdoctoralScience Foundation (N o.2004035715); the Science & Technology Program of Zhejiang Province in C hina(N o.2004C31098 );thePostdoctoraSlcienceFoundationofZhejiangProvinceinChina (No .2004-bsh-023).

摘　　要：The collection of all the rough sets of an approximation space has been given several algebraic interpretations, including Stone algebras, regular double Stone algebras, semi-simple Nelson algebras, pre-rough algebras and 3-valued Lukasiewicz algebras. A 3-valued Lukasiewicz algebra is a Stone algebra, a regular double Stone algebra, a semi-simple Nelson algebra, a pre-rough algebra. Thus, we call the algebra constructed by the collection of rough sets of an approximation space a rough 3-valued Lukasiewicz algebra.In this paper,the rough 3-valued Lukasiewicz algebras, which are a special kind of 3-valued Lukasiewicz algebras, are studied. Whether the rough 3-valued Lukasiewicz algebra is a axled 3-valued Lukasiewicz algebra is examined.The collection of all the rough sets of an approximation space has been given several algebraic interpretations, including Stone algebras, regular double Stone algebras, semi-simple Nelson algebras, pre-rough algebras and 3-valued Lukasiewicz algebras. A 3-valued Lukasiewicz algebra is a Stone algebra, a regular double Stone algebra, a semi-simple Nelson algebra, a pre-rough algebra. Thus, we call the algebra constructed by the collection of rough sets of an approximation space a rough 3-valued Lukasiewicz algebra. In this paper,the rough 3-valued Lukasiewicz algebras, which are a special kind of 3-valued Lukasiewicz algebras, are studied. Whether the rough 3-valued Lukasiewicz algebra is a axled 3-valued Lukasiewicz algebra is examined.

关 键 词：rough set theory approximation space 3-valued Lukasiewicz algebra AXIS 

分 类 号：TV[水利工程]