Information Elements Based Grey Number Linear Algorithm and Grey Linear Space.
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| Title: | Information Elements Based Grey Number Linear Algorithm and Grey Linear Space. |
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| Authors: | Nanlei Chen1 chennanlei@gmail.com, Naiming Xie1, Bentao Su1 |
| Source: | Journal of Grey System. 2018, Vol. 30 Issue 1, p44-55. 12p. |
| Subjects: | Gray forecasting model, Vector spaces, Mathematical models of decision making, Mathematical models of uncertainty, Mathematical models of forecasting |
| Abstract: | The grey number is a basic element of the Grey System. Due to there is a dispute about how to describe and character grey number, and the grey number algorithm borrowed from other uncertainty theory. Therefore, how to form exclusive and normative computation regulations had long puzzled scholars. This paper aimed to establish the grey number linear algorithm based on linear space. The concept of the grey number was redefined under grey information elements. Then the grey vector, grey basis, and grey vector space were further defined. General grey number linear operations were defined based on grey vector space. Finally, two numerical cases were adopted to test the effectiveness of the proposed algorithm. Results show that the grey number and its operations could be established under the framework of linear space. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Grey System is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 128202264 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Information Elements Based Grey Number Linear Algorithm and Grey Linear Space. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Nanlei+Chen%22">Nanlei Chen</searchLink><relatesTo>1</relatesTo><i> chennanlei@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Naiming+Xie%22">Naiming Xie</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Bentao+Su%22">Bentao Su</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Grey+System%22">Journal of Grey System</searchLink>. 2018, Vol. 30 Issue 1, p44-55. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Gray+forecasting+model%22">Gray forecasting model</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+spaces%22">Vector spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models+of+decision+making%22">Mathematical models of decision making</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models+of+uncertainty%22">Mathematical models of uncertainty</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models+of+forecasting%22">Mathematical models of forecasting</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The grey number is a basic element of the Grey System. Due to there is a dispute about how to describe and character grey number, and the grey number algorithm borrowed from other uncertainty theory. Therefore, how to form exclusive and normative computation regulations had long puzzled scholars. This paper aimed to establish the grey number linear algorithm based on linear space. The concept of the grey number was redefined under grey information elements. Then the grey vector, grey basis, and grey vector space were further defined. General grey number linear operations were defined based on grey vector space. Finally, two numerical cases were adopted to test the effectiveness of the proposed algorithm. Results show that the grey number and its operations could be established under the framework of linear space. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Grey System is the property of Research Information Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 44 Subjects: – SubjectFull: Gray forecasting model Type: general – SubjectFull: Vector spaces Type: general – SubjectFull: Mathematical models of decision making Type: general – SubjectFull: Mathematical models of uncertainty Type: general – SubjectFull: Mathematical models of forecasting Type: general Titles: – TitleFull: Information Elements Based Grey Number Linear Algorithm and Grey Linear Space. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Nanlei Chen – PersonEntity: Name: NameFull: Naiming Xie – PersonEntity: Name: NameFull: Bentao Su IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: 2018 Type: published Y: 2018 Identifiers: – Type: issn-print Value: 09573720 Numbering: – Type: volume Value: 30 – Type: issue Value: 1 Titles: – TitleFull: Journal of Grey System Type: main |
| ResultId | 1 |
