Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination
Grey Verhulst models are often employed to simulate the development tendency with the characteristic of saturated process of S curve. However, the uncertainty of interval grey numbers will be increased since the boundaries of interval grey number are extended by the Axiom of nondecreasing grey degre...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/472065 |
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| author | Bo Zeng Chuan Li Guo Chen Wang Zhang |
| author_facet | Bo Zeng Chuan Li Guo Chen Wang Zhang |
| author_sort | Bo Zeng |
| collection | DOAJ |
| description | Grey Verhulst models are often employed to simulate the development tendency with the characteristic of saturated process of S curve. However, the uncertainty of interval grey numbers will be increased since the boundaries of interval grey number are extended by the Axiom of nondecreasing grey degree in the existing Verhulst modeling method. In this paper, the interval grey number is divided into two real number parts, that is, “white” and “grey” parts. Then the “white” and “grey” parts are simulated and forecasted by building the grey Verhulst model and DGM (1, 1) model, respectively. To some degree, this method resolves the issue of amplifying the range of interval grey number. Finally, an example is used to compare the simulation performance between the new model and the traditional model, and the results show that the new model is superior to the other model. |
| format | Article |
| id | doaj-art-ebec04dedee14b889ca53b6555008a3f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-ebec04dedee14b889ca53b6555008a3f2025-02-03T01:07:33ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/472065472065Verhulst Model of Interval Grey Number Based on Information Decomposing and Model CombinationBo Zeng0Chuan Li1Guo Chen2Wang Zhang3Strategical Planning College, Chongqing Technology and Business University, Chongqing 400067, ChinaEngineering Laboratory for Detection & Control and Integrated System, Chongqing Technology and Business University, Chongqing 400067, ChinaSchool of Electrical and Information Engineering, The University of Sydney, Sydney, NSW 2006, AustraliaSchool of Electrical and Information Engineering, The University of Sydney, Sydney, NSW 2006, AustraliaGrey Verhulst models are often employed to simulate the development tendency with the characteristic of saturated process of S curve. However, the uncertainty of interval grey numbers will be increased since the boundaries of interval grey number are extended by the Axiom of nondecreasing grey degree in the existing Verhulst modeling method. In this paper, the interval grey number is divided into two real number parts, that is, “white” and “grey” parts. Then the “white” and “grey” parts are simulated and forecasted by building the grey Verhulst model and DGM (1, 1) model, respectively. To some degree, this method resolves the issue of amplifying the range of interval grey number. Finally, an example is used to compare the simulation performance between the new model and the traditional model, and the results show that the new model is superior to the other model.http://dx.doi.org/10.1155/2013/472065 |
| spellingShingle | Bo Zeng Chuan Li Guo Chen Wang Zhang Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination Journal of Applied Mathematics |
| title | Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination |
| title_full | Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination |
| title_fullStr | Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination |
| title_full_unstemmed | Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination |
| title_short | Verhulst Model of Interval Grey Number Based on Information Decomposing and Model Combination |
| title_sort | verhulst model of interval grey number based on information decomposing and model combination |
| url | http://dx.doi.org/10.1155/2013/472065 |
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