摘要
以等价关系矩阵为工具,对两个不同的等价关系之间进行的交、并、补、差及积运算做了探讨,得出两个等价关系交运算后还是等价关系,但它们的并、补、差及积运算后未必是等价关系;同时得出等价关系对交、并、积运算是幂等运算;最后,用所得结论探讨了粗糙集理论中两个知识交运算后的关系.
In this paper, the eperation among intersection, union, complement, difference and production which takes place between two different equivalence relations is studied in the way of matrix of equivalence relations. Conclusions are got that the result of the operation between two equivalence relations is still the equivalence relations, bat that of the operation among their intersection, union, complement, difference and product is not certainly the equivalence relations; another conclusion is that the operation which equivalence relations affect intersection, union and product is idempotent operation. And finally, the conclusions arrived at in this study are used to research the relation between two knowledge of rough sets theory after their intersection operations.
出处
《兰州工业高等专科学校学报》
2006年第1期42-45,共4页
Journal of Lanzhou Higher Polytechnical College
关键词
等价关系矩阵
布尔矩阵
布尔积
Rough集合
matrix of equivalence relations
Boolean matrix
Boolean product
rough set.
