模糊形式背景下的技能层约简与前级(后级)知识结构的充要条件  

Skill Level Reduction and Necessary and Sufficient Conditions of Forward-Graded(Backward-Graded)Knowledge Structure in Fuzzy Formal Context

作　　者：冯丹露 李进金 李招文[3] 周银凤 杨桃丽 FENG Danlu;LI Jinjin;LI Zhaowen;ZHOU Yinfeng;YANG Taoli(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000;Fujian Key Laboratory of Granular Computing and Application,Minnan Normal University,Zhangzhou 363000;Guangxi College and Universities Key Laboratory of Complex System Optimization and Big Data Processing,Yulin Normal University,Yulin 537000;School of Mathematics and Statistics,Shaanxi Normal University,Xian 710119)

机构地区：[1]闽南师范大学数学与统计学院,漳州363000 [2]闽南师范大学福建省粒计算及其应用重点实验室,漳州363000 [3]玉林师范学院广西高校复杂系统优化与大数据处理重点实验室,玉林537000 [4]陕西师范大学数学与统计学院,西安710119

出　　处：《模式识别与人工智能》2023年第5期383-406,共24页Pattern Recognition and Artificial Intelligence

基　　金：国家自然科学基金项目(No.11871259);福建省自然科学基金项目(No.2019J01748,2020J02043);福建省中青年基金项目(No.JAT210255)资助。

摘　　要：模糊技能映射为构建知识结构提供一个途径,但将基本局部独立模式应用于前级(后级)知识结构中会呈现不可识别问题,因此,在模糊技能映射的前提下,文中主要解决两个问题:技能约简耗时过长、寻找前级(后级)知识结构的充要条件.首先,基于模糊技能背景,构造一对算子,通过算子确定的模糊技能概念格直接获取简单闭包空间,同时获得每个知识状态对应的最小技能熟练程度.然后,提出技能层约简的概念,利用标记技能约简对冗余技能层进行约简,并给出技能层约简算法.同时给出模糊技能映射诱导前级(后级)简单闭包空间的充分必要条件,并提供获取前级问题集和后级问题集的算法.最后,在5个UCI数据集上的对比实验验证文中算法的可行性和有效性,同时获取前级问题集和后级问题集.Fuzzy skill mapping is a pathway to construct knowledge structure.However,applying the basic local independence model to the forward-graded(backward-graded)knowledge structure results in unrecognizable problem.Therefore,under the premise of fuzzy skill mapping,two problems are solved in this paper:excessive time consumption in skill reduction and searching for the necessary and sufficient conditions of the forward-graded(backward-graded)knowledge structure.Firstly,based on the fuzzy skill context,a pair of operators is constructed,and the simple closure space is acquired directly through the fuzzy skill concept lattice determined by the pair of operators.At the same time,the minimum skill proficiency corresponding to each knowledge state is obtained.Secondly,the concept of skill level reduction is proposed.Redundant skill level is reduced by label skill reduction,and the algorithm of skill level reduction is provided.In addition,the necessary and sufficient conditions for inducing forward-graded(backward-graded)simple closure space from fuzzy skill mapping are presented,along with an algorithm for obtaining the forward-graded problem set and the backward-graded problem set.Finally,comparative experiments on five UCI datasets verify the feasibility and effectiveness of the proposed algorithm,and the forward-graded problem set and the backward-graded problem set are obtained.

关 键 词：模糊形式背景 模糊技能概念格 技能层约简 前级知识结构 后级知识结构 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程]