摘要
讨论粗糙集代数与MV代数的关系以及由粗糙集代数构造MV代数的方法。粗糙集代数本身具有格结构,证明了在适当选取蕴涵及乘积运算之后,粗糙集代数就成为MV代数。
The relation between rough set algebra and MV algebra is studied. Based on the lattice structure of rough set algebra, It is proved that rough set algebra becomes MV algebra if proper implication and product operators are selected.
出处
《模糊系统与数学》
CSCD
北大核心
2008年第3期152-155,共4页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(60474022)
关键词
粗糙集
粗糙集代数
剩余格
MV代数
Rough Set
Rough Set Algebra
Residuated Lattice
MV Algebra
