粒协调决策形式背景的属性约简与规则融合  

Attribute reduction and rule fusion in granular consistent formal decision contexts

作　　者：张晓鹤 米据生[1] 李美争[2] ZHANG Xiaohe;MI Jusheng;LI Meizheng(College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050024,China;College of Computer and Cyber Security,Hebei Normal University,Shijiazhuang 050024,China)

机构地区：[1]河北师范大学数学与信息科学学院,河北石家庄050024 [2]河北师范大学计算机与网络空间安全学院,河北石家庄050024

出　　处：《智能系统学报》2019年第6期1138-1143,共6页CAAI Transactions on Intelligent Systems

基　　金：国家自然科学基金项目(61573127,61502144);河北省自然科学基金项目(F2018205196);河北省高等学校科学技术研究项目(BJ2019014,QN2017095);河北省三三三人才工程培养经费(A2017002112);河北师范大学博士基金项目(L2017B19)

摘　　要：针对基于决策形式背景进行属性约简与规则提取能够更便捷有效地获取知识,因此规则提取及属性约简是形式概念分析理论重要的研究课题。本文基于等价关系研究粒协调决策形式背景的属性约简与规则提取,定义粒协调集与粒约简,给出粒协调集判定定理,并结合布尔方法给出属性约简算法,最后利用集值向量包含度这一工具给出决策形式背景中的乐观规则融合方法与悲观规则融合方法。Attribute reduction and rule acquisition based on formal decision contexts can acquire knowledge more con-veniently and effectively;thus,rule acquisition and attribute reduction are two key research directions of the theory of formal concept analysis(FCA).This study investigates attribute reduction and rule acquisition based on an equivalence relation in formal granular consistent decision contexts.In this paper,the granular consistent set and granular reduction are defined,and the judgment theory of the granular consistent set is given,and by combination with the Boolean meth-od,the granular reduction is formulated.Finally,using the inclusion degree of set-valued vectors,optimistic and pessim-istic rule fusion methods in formal decision contexts are proposed.

关 键 词：属性约简 决策规则 形式背景 辨识矩阵 包含度 规则提取 粒计算 概念格 

分 类 号：O236[理学—运筹学与控制论] TP18[理学—数学]