三支决策与三支关注的双量化集成*

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.

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

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.