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三枝决策粗糙集
引用本文:刘盾,姚一豫,李天瑞.三枝决策粗糙集[J].计算机科学,2011,38(1):246-250.
作者姓名:刘盾  姚一豫  李天瑞
作者单位:1. 西南交通大学经济管理学院,成都,610031
2. Department of Computer Science,University of Regina,Regina,Saskatchewan,S4S 0A2
3. 西南交通大学信息科学与技术学院,成都,610031
基金项目:本文受国家自然科学基金(60873108,70971062),西南交通大学博士创新基金(200907),西南交通大学优秀博士论文培育基金(2009LD)资助。
摘    要:从贝叶斯理论出发,介绍基于三枝决策粗集理论。首先讨论在期望风险最小决策的语义下决策粗集理论基本模型的构建过程。其次,分析决策粗集三枝决策方法在不同概率区间犯错的可能性,并通过其与二枝决策及Pawlak粗集三枝决策的差异,给出决策粗集三枝决策方法优于其他两种决策方法的成立条件。最后,提供一种利用决策粗集三枝决策解决实际问题的方法。

关 键 词:决策粗集理论,贝叶斯过程,三枝决策,二枝决策

Three-way Decision-theoretic Rough Sets
LIU Dun,YAO Yi-yu,LI Tian-rui.Three-way Decision-theoretic Rough Sets[J].Computer Science,2011,38(1):246-250.
Authors:LIU Dun  YAO Yi-yu  LI Tian-rui
Affiliation:(Department of Economics and Management,Southwest Jiaotong University,Chengdu 610031,China);(Department of Computer Science, University of Regina, Regina, Saskatchewan S4S 0A2,Canada);(Department of Information Science and Technology,Southwest Jiaotong University,Chengda 610031,China)
Abstract:A model of threcway decision-theoretic rough sets (DTRS) was presented based on the Bayesian decision theory. Based on the minimum expected risk, a detailed formulation of DTRS was given. Different types of errors in several probability intervals were examined. The conditions under which DTRS thruway method is superior to the Pawlak three-way method and two-way method were identified. DTRS threcway model was discussed for solving the practical decision problems.
Keywords:Decision-theoretic rough set theory  Bayesian decision procedure  Three-way decision making  Two-way decision making
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