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广义概率粗糙集模型中近似算子的研究
引用本文:周云春,刘洋. 广义概率粗糙集模型中近似算子的研究[J]. 甘肃联合大学学报(自然科学版), 2009, 23(4): 1-4
作者姓名:周云春  刘洋
作者单位:1. 云南民族大学,数学与计算机科学学院,云南,昆明,650031
2. 云南省七甸乡水塘小学,云南,昆明,650502
摘    要:针对经典概率粗糙集模型的不足,将其论域推广到两个具有相容关系的论域上,借助集值映射分别定义了两种形式的广义概率(I)型和广义概率(II)型粗糙集近似算子,并讨论了相应的数学性质.最后,详细地分析了它们之间的关系.

关 键 词:集值映射  概率粗糙集  相容关系

Research on Approximation Operator in Generalized Probabilistic
ZHOU Yun-chun,LIU Yang. Research on Approximation Operator in Generalized Probabilistic[J]. Journal of Gansu Lianhe University :Natural Sciences, 2009, 23(4): 1-4
Authors:ZHOU Yun-chun  LIU Yang
Affiliation:1.School of Mathematics & Computer Science;Yunnan Nationalities University;Kunming 650031;China;2.Elementary School of Shuitang;Kunming 650502;China
Abstract:Tn view of the deficiency of classic probabilistic rough set model,we introduce the probabilistic rough set model over two universes which exist a compatible relation,two kind of approximation operator based on the multi-valued mapping were defined,which is called Generalized Probabilistic(I) and Generalized Probabilistic(II),the mathematic properties were discussed.The two kind of upper approximation and lower approximation were compared in detail.
Keywords:multi-valued mapping  probabilistic rough set  compatible relation  
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