Nonparametric Hyperbox Granular Computing Classification Algorithms

Parametric granular computing classification algorithms lead to difficulties in terms of parameter selection, the multiple performance times of algorithms, and increased algorithm complexity in comparison with nonparametric algorithms. We present nonparametric hyperbox granular computing classificat...

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Main Authors: Hongbing Liu, Xiaoyu Diao, Huaping Guo
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Information
Subjects:
Online Access:https://www.mdpi.com/2078-2489/10/2/76
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author Hongbing Liu
Xiaoyu Diao
Huaping Guo
author_facet Hongbing Liu
Xiaoyu Diao
Huaping Guo
author_sort Hongbing Liu
collection DOAJ
description Parametric granular computing classification algorithms lead to difficulties in terms of parameter selection, the multiple performance times of algorithms, and increased algorithm complexity in comparison with nonparametric algorithms. We present nonparametric hyperbox granular computing classification algorithms (NPHBGrCs). Firstly, the granule has a hyperbox form, with the beginning point and the endpoint induced by any two vectors in <i>N</i>-dimensional (<i>N</i>-D) space. Secondly, the novel distance between the atomic hyperbox and the hyperbox granule is defined to determine the joining process between the atomic hyperbox and the hyperbox. Thirdly, classification problems are used to verify the designed NPHBGrC. The feasibility and superiority of NPHBGrC are demonstrated by the benchmark datasets compared with parametric algorithms such as HBGrC.
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spelling doaj.art-12e59727169a4df49d93a778163211952022-12-21T19:14:10ZengMDPI AGInformation2078-24892019-02-011027610.3390/info10020076info10020076Nonparametric Hyperbox Granular Computing Classification AlgorithmsHongbing Liu0Xiaoyu Diao1Huaping Guo2Center of Computing, Xinyang Normal University, Xinyang 464000, ChinaSchool of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, ChinaSchool of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, ChinaParametric granular computing classification algorithms lead to difficulties in terms of parameter selection, the multiple performance times of algorithms, and increased algorithm complexity in comparison with nonparametric algorithms. We present nonparametric hyperbox granular computing classification algorithms (NPHBGrCs). Firstly, the granule has a hyperbox form, with the beginning point and the endpoint induced by any two vectors in <i>N</i>-dimensional (<i>N</i>-D) space. Secondly, the novel distance between the atomic hyperbox and the hyperbox granule is defined to determine the joining process between the atomic hyperbox and the hyperbox. Thirdly, classification problems are used to verify the designed NPHBGrC. The feasibility and superiority of NPHBGrC are demonstrated by the benchmark datasets compared with parametric algorithms such as HBGrC.https://www.mdpi.com/2078-2489/10/2/76hyperbox granulegranular computingdistancejoin operation
spellingShingle Hongbing Liu
Xiaoyu Diao
Huaping Guo
Nonparametric Hyperbox Granular Computing Classification Algorithms
Information
hyperbox granule
granular computing
distance
join operation
title Nonparametric Hyperbox Granular Computing Classification Algorithms
title_full Nonparametric Hyperbox Granular Computing Classification Algorithms
title_fullStr Nonparametric Hyperbox Granular Computing Classification Algorithms
title_full_unstemmed Nonparametric Hyperbox Granular Computing Classification Algorithms
title_short Nonparametric Hyperbox Granular Computing Classification Algorithms
title_sort nonparametric hyperbox granular computing classification algorithms
topic hyperbox granule
granular computing
distance
join operation
url https://www.mdpi.com/2078-2489/10/2/76
work_keys_str_mv AT hongbingliu nonparametrichyperboxgranularcomputingclassificationalgorithms
AT xiaoyudiao nonparametrichyperboxgranularcomputingclassificationalgorithms
AT huapingguo nonparametrichyperboxgranularcomputingclassificationalgorithms