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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].毕节师范高等专科学校学报,2009(4):1-3.
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 [2]西南交通大学数学学院,四川成都610031
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 Teachers College,2009(4):1-3.
Authors:ZHANG Jia-feng  CAO Fa-sheng
Institution:1. Department of Math, Institute of Logic and Applied Logic, Bijie University,Bijie ,Guizhou551700,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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