[1]丁树良,罗芬,汪文义,等.0-1和多值可达矩阵的性质及应用[J].江西师范大学学报(自然科学版),2015,(01):64-68.
　DING Shuliang,LUO Fen,WANG Wenyi,et al.The Properties of 0-1 and Polytomous Reach Ability Matrices and Their Applications[J].Journal of Jiangxi Normal University:Natural Science Edition,2015,(01):64-68.
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0-1和多值可达矩阵的性质及应用()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2015年01期
页码:
64-68
栏目:
出版日期:
2015-02-10

文章信息/Info

Title:
The Properties of 0-1 and Polytomous Reach Ability Matrices and Their Applications
作者:
丁树良；罗芬；汪文义；熊建华
江西师范大学计算机信息工程学院,江西 南昌 330022
Author(s):
DING Shuliang; LUO Fen; WANG Wenyi; XIONG Jianhua
关键词:
可达矩阵;  格;  多值可达阵;  多值Q阵
Keywords:
reachability matrix;  lattice;  polytomous reachability matrix;  polytomous Q matrix
分类号:
B 841.7; TP 301.6
文献标志码:
A
摘要:
讨论0-1可达阵的基本性质及其在认知诊断中的重要作用,证明可达阵导出的学生Q阵在先决关系下构成1个格,给出了多值可达阵的计算方法和基于多值可达阵的扩张算法,还给出已知属性最高水平下多值可达阵和0-1可达阵相互转换的膨胀和压缩算法,发现多值可达阵实质上是0-1可达阵的压缩形式,并讨论多值可达阵的性质及其在认知诊断中的应用.
Abstract:
The basic properties of the 0-1 reachability matrix and their applications are discussed.The student Q matrix and the prerequisite relation defined on it is a lattice.An algorithm to calculate the polytomous reachability matrix is given and the augment algorithm based on the polytomous reachability matrix is proposed.For 0-1 and polytomous reachibility matrices,the methods which include the expanse algorithm and the condensation algorithm for the translation from each other are introduced and an application of the translation is given.It is discovered that the polytomous reachibility matrix is the compressive form a 0-1 reachibility matrix.

参考文献/References:

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相似文献/References:

[1]丁树良,汪文义,罗 芬,等.可达阵功能的不可替代性[J].江西师范大学学报(自然科学版),2016,40(03):290.
　DING Shuliang,WANG Wenyi,LUO Fen,et al.The Irreplaceability of a Reachability Matrix[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(01):290.

备注/Memo

备注/Memo:
国家自然科学基金(30860084,31160203,31100756,31360237)；江西省教育厅科技计划(GJJ13207,GJJ13206,GJJ13227,GJJ133208,GJJ13209)
更新日期/Last Update: 1900-01-01