Research and Application for Grey Relational Analysis in Multigranularity Based on Normality Grey Number
Grey theory is an essential uncertain knowledge acquisition method for small sample, poor information. The classic grey theory does not adequately take into account the distribution of data set and lacks the effective methods to analyze and mine big sample in multigranularity. In view of the univers...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/312645 |
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| _version_ | 1850215001448513536 |
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| author | Jin Dai Xin Liu Feng Hu |
| author_facet | Jin Dai Xin Liu Feng Hu |
| author_sort | Jin Dai |
| collection | DOAJ |
| description | Grey theory is an essential uncertain knowledge acquisition method for small sample, poor information. The classic grey theory does not adequately take into account the distribution of data set and lacks the effective methods to analyze and mine big sample in multigranularity. In view of the universality of the normal distribution, the normality grey number is proposed. Then, the corresponding definition and calculation method of the relational degree between the normality grey numbers are constructed. On this basis, the grey relational analytical method in multigranularity is put forward to realize the automatic clustering in the specified granularity without any experience knowledge. Finally, experiments fully prove that it is an effective knowledge acquisition method for big data or multigranularity sample. |
| format | Article |
| id | doaj-art-8291e3dc4bb141f7992f9680f8d662cf |
| institution | OA Journals |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-8291e3dc4bb141f7992f9680f8d662cf2025-08-20T02:08:45ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/312645312645Research and Application for Grey Relational Analysis in Multigranularity Based on Normality Grey NumberJin Dai0Xin Liu1Feng Hu2College of Software Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCollege of Software Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaCollege of Computer Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaGrey theory is an essential uncertain knowledge acquisition method for small sample, poor information. The classic grey theory does not adequately take into account the distribution of data set and lacks the effective methods to analyze and mine big sample in multigranularity. In view of the universality of the normal distribution, the normality grey number is proposed. Then, the corresponding definition and calculation method of the relational degree between the normality grey numbers are constructed. On this basis, the grey relational analytical method in multigranularity is put forward to realize the automatic clustering in the specified granularity without any experience knowledge. Finally, experiments fully prove that it is an effective knowledge acquisition method for big data or multigranularity sample.http://dx.doi.org/10.1155/2014/312645 |
| spellingShingle | Jin Dai Xin Liu Feng Hu Research and Application for Grey Relational Analysis in Multigranularity Based on Normality Grey Number The Scientific World Journal |
| title | Research and Application for Grey Relational Analysis in Multigranularity Based on Normality Grey Number |
| title_full | Research and Application for Grey Relational Analysis in Multigranularity Based on Normality Grey Number |
| title_fullStr | Research and Application for Grey Relational Analysis in Multigranularity Based on Normality Grey Number |
| title_full_unstemmed | Research and Application for Grey Relational Analysis in Multigranularity Based on Normality Grey Number |
| title_short | Research and Application for Grey Relational Analysis in Multigranularity Based on Normality Grey Number |
| title_sort | research and application for grey relational analysis in multigranularity based on normality grey number |
| url | http://dx.doi.org/10.1155/2014/312645 |
| work_keys_str_mv | AT jindai researchandapplicationforgreyrelationalanalysisinmultigranularitybasedonnormalitygreynumber AT xinliu researchandapplicationforgreyrelationalanalysisinmultigranularitybasedonnormalitygreynumber AT fenghu researchandapplicationforgreyrelationalanalysisinmultigranularitybasedonnormalitygreynumber |