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MV-代数的粗糙性
引用本文:张家锋,曹发生.MV-代数的粗糙性[J].毕节学院学报,2009,27(4).
作者姓名:张家锋  曹发生
作者单位:1. 毕节学院数学系,逻辑与应用逻辑研究所,贵州,毕节,551700;西南交通大学数学学院,四川,成都,610031
2. 毕节学院数学系,逻辑与应用逻辑研究所,贵州,毕节,551700
摘    要:粗糙集理论是一种新的处理模糊和不确定知识的数学工具,借助近似代数上的原子及同余关系,在证明了在适当选取加运算、乘运算和余运算之后,粗糙集代数就成为MV-代数.

关 键 词:粗糙集  粗糙集代数  MV-代数

The Roughness of Mv-Algebra
ZHANG Jia-feng,CAO Fa-sheng.The Roughness of Mv-Algebra[J].Journal of Bijie University,2009,27(4).
Authors:ZHANG Jia-feng  CAO Fa-sheng
Institution:1.Department of Math;Institute of Logic and Applied Logic;Bijie University;Bijie;Guizhou 551700;China;2.Institute of Mathematics;Southwest Jiaotong University;Chengdu;Sichuan;610031;China
Abstract:The relation between rough set algebra and MV-algebra was studied,and the method of constructing MV-algebra from rough set algebra was presented.Based on the atoms and congruence of approximation algebra,it is proved that rough set algebra becomes MV-algebra if proper operators are selected.
Keywords:Rough Set  Rough Set Algebra  MV-algebra  
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