A New Granular Computing Model Based on Algebraic Structure

被引：0

作者：

CHEN Linshu ^{[1
]}

WANG Jiayang ^{[2
]}

WANG Weicheng ^{[3
]}

LI Li ^{[4
]}

机构：

[1] School of Computer Science and Technology,Hunan University of Science and Technology

[2] School of Information Science and Engineering,Central South University

[3] School of Information Science and Technology,Beijing Normal University

[4] Harbin Institute of Technology Shenzhen Grduate School

来源：

ChineseJournalofElectronics | 2019年 / 28卷 / 01期

关键词：

Granular computing; Algebraic structure; Homomorphic consistency; Granulation; Granularity combination;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Granular computing is a very hot research field in computer science in recent years.This paper introduces a new granular computing model based on algebraic structure, in which the granule structure is assumed as a binary operator and the granulation is based on a congruence relation. Following the homomorphic consistency principle, the methods of granulation(granularity coarsening) and granularity combination(granularity refinement) are introduced, and the corresponding numerical examples show that these methods are efficient and applicable. These works have enriched the granular computing models from structure and provided theoretical basis for the combination of granular computing theory and algebraic theory.

引用

页码：136 / 142

页数：7

共 17 条

[1]

The rough representation and measurement of quotient structure in algebraic quotient space model[J]. 陈林书,Wang Jiayang.High Technology Letters. 2017(03)

[2]

The Models of Granular System and Algebraic Quotient Space in Granular Computing[J]. CHEN Linshu,WANG Jiayang,LI Li.Chinese Journal of Electronics. 2016(06)

[3] 基于代数结构的商空间模型研究 [J].

陈林书 ;

王加阳 ;

杨正华 ;

李力 .

电子学报, 2016, 44 (04) :952-958

[4] 一种支持轨迹大数据潜在语义相关性挖掘的谱聚类方法 [J].

廖律超 ;

蒋新华 ;

邹复民 ;

贺文武 ;

邱淮 .

电子学报, 2015, 43 (05) :956-964

[5] 融合粗糙集与小生境免疫优化的属性约简方法 [J].

徐雪松 ;

陈荣元 .

电子学报, 2014, 42 (08) :1545-1550

[6]

Constructing Rough Set Based Unbalanced Binary Tree for Feature Selection[J]. LU Zhengcai,QIN Zheng,JIN Qiao,LI Shengnan.Chinese Journal of Electronics. 2014(03)

[7] 两种结构的商空间模型比较研究 [J].

王加阳 ;

杨正华 .

电子学报, 2013, 41 (11) :2262-2269

[8] 非完备信息系统的启发式特征选择遗传算法 [J].

戴大蒙 ;

慕德俊 .

电子学报, 2013, 41 (03) :451-455

[9]

On the System Algebra Foundations for Granular Computing[J] . Yingxu Wang,Lotfi A. Zadeh,Yiyu Yao.International Journal of Software Science and Computational Intelligence (IJSSCI) . 2009 (1)

[10]

Research of reduct features in the variable precision rough set model[J] . Jia-yang Wang,Jie Zhou.Neurocomputing . 2008 (10)

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