三支决策与三支关注的双量化集成  

Double-Quantitative Integration of Three-Way Decisions and Three-Way Attentions

作　　者：张贤勇[1,2] 杨霁琳[2] 唐孝[1,2] 

机构地区：[1]四川师范大学数学与软件科学学院,成都610066 [2]四川师范大学智能信息与量子信息研究所,成都610066

出　　处：《模式识别与人工智能》2017年第5期394-402,共9页Pattern Recognition and Artificial Intelligence

基　　金：国家自然科学基金项目(No.61673285;61203285);四川省青年科技基金项目(No.2017JQ0046);四川省教育厅科研项目(No.15ZB0028)资助~~

摘　　要：三支决策依托的条件概率只具有相对性,绝对性度量的引入与集成有利于规则提取.文中挖掘绝对条件概率建立三支关注,研究三支决策与三支关注的双量化集成.提取相对条件概率与绝对条件概率,分析2种度量的系统关系,得到异质性与互补性.利用绝对条件概率建立三支关注,与三支决策进行双量化集成,得到集成区域类型与基本语义(粒)体系.利用一个统计决策表案例进行说明.三支关注依托绝对条件概率成为新型三支模式,与三支决策的双量化集成呈现系统性与应用性.The conditional probability used in three-way decisions only exhibits relativity, and thus the introduction and integration of absoluteness measures are useful for rule extraction. The absolute conditional probability is mined to establish three-way attentions, and the double-quantitative integration of three-way decisions and attentions is investigated. Firstly, the relative and absolute conditional probabilities are extracted, and their systematic relationships are analyzed to reveal their heterogeneity and complementarity. Then, three-way attentions are produced by the absolute conditional probability, and their double-quantitative integration with three-way decisions is made. Thus, the integrated region type and basic semantics （granule） system are achieved. Finally, a statistical decision table is provided for illustration. Based on the absolute conditional probability, three-way attentions become a new type of three-way patterns, and their double-quantitative integration with three-way decisions shows systematicness and applicability.

关 键 词：粗糙集 三支决策 三支关注 双量化 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]