基于概念约简的强协调决策形式背景的规则提取  

Rule acquisition based on concept reduction in strongly consistent formal decision context

作　　者：王一帆 金铭[1,3] 张琴 魏玲 WANG Yifan;JIN Ming;ZHANG Qin;WEI Ling(School of Mathematics,Northwest University,Xi'an 710127,Shaanxi,China;School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,Fujian,China;Institute of Concepts,Cognition and Intelligence,Northwest University,Xi'an 710127,Shaanxi,China)

机构地区：[1]西北大学数学学院,陕西西安710127 [2]闽南师范大学数学与统计学院,福建漳州363000 [3]西北大学概念、认知与智能研究中心,陕西西安710127

出　　处：《山东大学学报(理学版)》2025年第1期83-90,100,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12171392);陕西数理基础科学研究资助项目(23JSZ008);西北大学研究生科研创新资助项目(CX2024128)。

摘　　要：运用形式背景保持二元关系不变的概念约简的思想,研究强协调决策形式背景的规则提取。依据决策子背景的概念约简,证明概念约简诱导的条件属性集为强协调决策形式背景的属性协调集,对条件属性集进行简化,给出概念约简与其他概念的关系,证明概念约简诱导的条件关系集包含所有简化后的规则前件信息,给出利用概念约简获取强协调决策形式背景的非冗余规则的具体步骤。Rule acquisiton in strongly consistent formal decision context is studied by using the idea of concept reduction of keeping the binary relation unchanged in the formal context.According to the concept reduction of decision subcontext,the conditional attribute set induced by concept reduction is defined,and it is proved that it is the attribute consistent set of the strongly consistent formal decision context,so as to simplify the conditional attribute set.The relationship between concept reduction and other concepts is given,and then it is proved that the conditional relation set induced by concept reduction contains all the information of the simplified rule antecedent.The concrete steps of obtaining non-redundant rules for the strongly consistent formal decision context by concept reduction are given.

关 键 词：决策形式背景 概念约简 规则提取 规则前件 条件属性集 

分 类 号：TP181[自动化与计算机技术—控制理论与控制工程]