[1]陈应生,李进金.决策信息系统协调性的关系矩阵表示[J].华侨大学学报(自然科学版),2019,40(6):823-829.[doi:10.11830/ISSN.1000-5013.201810106]
　CHEN Yingsheng,LI Jinjin.Relation Matrix Representation for Consistent ofDecision Information System[J].Journal of Huaqiao University(Natural Science),2019,40(6):823-829.[doi:10.11830/ISSN.1000-5013.201810106]
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决策信息系统协调性的关系矩阵表示()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第40卷
期数:
2019年第6期
页码:
823-829
栏目:
出版日期:
2019-11-20

文章信息/Info

Title:
Relation Matrix Representation for Consistent ofDecision Information System
文章编号:
1000-5013(2019)06-0823-07
作者:
陈应生1;  李进金1; 2
1. 华侨大学 数学科学学院, 福建 泉州 362021;2. 闽南师范大学 数学科学与统计学院, 福建 漳州 363000
Author(s):
CHEN Yingsheng1;  LI Jinjin1; 2
1. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China; 2. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China
关键词:
不完备决策信息系统;  关系矩阵;  容差关系;  正域
Keywords:
incomplete decision information system;  matrix of relation;  tolerance relation;  positive domain
分类号:
TP18
DOI:
10.11830/ISSN.1000-5013.201810106
文献标志码:
A
摘要:
从矩阵视角研究不完备信息系统的知识表示和属性约简.首先,引入关系矩阵,基于容差关系提出不完备决策信息系统协调性判定方法.其次,利用关系矩阵求正域,并提出属性协调集的矩阵判定定理,从而给出一种保持正域不变的约简的新方法.最后,基于上述框架,给出属性重要性度,进一步提出一种属性约简的启发式算法,并通过分析和实例证明该方法的有效性.
Abstract:
This paper studies the knowledge representation and attribute reduction of incomplete information systems from the perspective of matrix. Firstly, the relation matrix is introduced, and based on tolerance relation, a method for judging the consistent of incomplete decision information system is proposed. Secondly, the positive domain is obtained by using the relation matrix, and the matrix decision theorem of the attribute consistent set is proposed, and a new reduction method keeping the positive domain invariant is given. Finally, based on the above framework, an attribute importance significance is given, a heuristic algorithm for attribute reduction is proposed, and the effectiveness of the method is proved by analysis.

参考文献/References:

[1] PAWLAK Z.Rough sets[J].International Journal of Computer and Information Sciences,1982,11(5):341-354.DOI:10.1007/BF01001956.
[2] WU Weizhi,QIAN Yuhua,LI Tongjun.On rule acquisition in incomplete multi-scale decision tables[J].Information Sciences,2017,378(C):282-302.DOI:10.1016/j.ins.2016.03.041.
[3] LI Feng,HU Baoqing,WANG Jun.Stepwise optimal scale selection for multi-scale decision tables via attribute significance[J].Knowledge-Based Systems,2017,129:4-16.DOI:10.1016/j.knosys.2017.04.005.
[4] CHEN Degang,ZHANG Xiaoxia,LI Wanlu.On measurements of covering rough sets based on granules and evidence theory[J].Information Sciences,2015,317(C):329-348.DOI:10.1016/j.ins.2015.04.051.
[5] 石慧,魏玲.面向对象(属性)概念格的布尔表达[J].南京大学学报(自然科学版),2015,51(2):415-420.DOI:10.13232/j.cnki.jnju.2015.02.028.
[6] 李招文,文国秋,林福宁.变精度不协调SFD信息系统中的拓扑学方法[J].控制与决策,2014,11:2066-2070.DOI:10.13195/j.kzyjc.2013.0936.
[7] SUN Bingzhen,MA Weimin,QIAN Yuhua.Multigranulation fuzzy rough set over two universes and its application to decision making[J].Knowledge-Based Systems,2017,123:61-74.DOI:10.1016/j.knosys.2017.01.036.
[8] WANG Chongzhong.Topological structures of L-fuzzy rough sets and similarity sets of L-fuzzy relations[J].International Journal of Approximate Reasoning,2017,83:160-175.DOI:10.1016/j.ijar.2017.01.002.
[9] WANG Changzhong,HE Qiang,CHEN Degang,et al.A novel method for attribute reduction of covering decision systems[J].Information Sciences,2014,254:181-196.DOI:10.1016/j.ins.2013.08.057.
[10] 王磊,李天瑞.一种基于矩阵的知识粒度计算方法[J].模式识别与人工智能,2013,26(5):448-453.DOI:10.3969/j.issn.1003-6059.2013.05.005.
[11] 林艺东,张燕兰,林梦雷.覆盖族动态变化时粗集计算的矩阵方法[J].计算机应用,2015,35(11):3208-3212.DOI:10.11772/j.issn.1001-9081.2015.11.3208.
[12] TAN Anhui,LI Jinjin,LIN Guoping,et al.Fast approach to knowledge acquisition in covering information systems using matrix operations[J].Knowledge-Based Systems,2015,79:90-98.DOI:10.1016/j.knosys.2015.02.003.
[13] 陈恒新.可正定化矩阵的判别定理[J].华侨大学学报(自然科学版),2011,32(5):356-360.DOI:10.11830/issn.1000-5013.2011.03.0356.
[14] MA Liwen.The investigation of covering rough sets by Boolean matrices[J].International Journal of ApproximateReasoning,2018,100:69-84.DOI:10.1016/j.ijar.2018.05.008.

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备注/Memo

备注/Memo:
收稿日期: 2018-10-31
通信作者: 陈应生(1976-),男,讲师,主要从事粗糙集和粒计算的研究.E-mail:cyssheng@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11871259, 61379021, 11701258)
更新日期/Last Update: 2019-11-20