Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid
To improve the efficiency of resource sharing among spatial information, firstly, the mathematical characteristics of fractional order ordinary differential equations are analyzed. By the numerical method, the fractional operator is discretized and approximated to construct the linear differential e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-08-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016820302490 |
| _version_ | 1818734485124939776 |
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| author | Guanhong Zhang Peter Brown Odbal |
| author_facet | Guanhong Zhang Peter Brown Odbal |
| author_sort | Guanhong Zhang |
| collection | DOAJ |
| description | To improve the efficiency of resource sharing among spatial information, firstly, the mathematical characteristics of fractional order ordinary differential equations are analyzed. By the numerical method, the fractional operator is discretized and approximated to construct the linear differential equation between fractions. Secondly, the fractal spatial model and data grid mining algorithm are designed based on fuzzy mathematical control rules. Finally, the correlation performance of data mining algorithm is tested based on the massive spatial data of network teaching, and the self-tuning of fuzzy fractional order system parameters is simulated. The results show that the algorithm in this research can effectively mine and utilize spatial information when confronted with a large amount of network teaching data. After a long time running, it shows good robustness and avoids the fearless waste of time and space resources. The data mining algorithm based on grid design in this research has a better mining effect on information resources, provides a new solution and method for data management and collaborative transmission in many fields, and plays a positive role in promoting the development of spatial information related fields. |
| first_indexed | 2024-12-18T00:06:06Z |
| format | Article |
| id | doaj.art-37e78662791d48caa77c23fa68e92403 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-18T00:06:06Z |
| publishDate | 2020-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-37e78662791d48caa77c23fa68e924032022-12-21T21:27:48ZengElsevierAlexandria Engineering Journal1110-01682020-08-0159427772784Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data gridGuanhong Zhang0Peter Brown1 Odbal2Department of Computer Science and Technology, Hefei University, Hefei, ChinaSchool of Computer Science, University College Dublin, Dublin, IrelandInstitute of Intelligent Machines, Hefei Institutes of Physical Science, Chinese Academy of Sciences, Hefei, China; Corresponding author.To improve the efficiency of resource sharing among spatial information, firstly, the mathematical characteristics of fractional order ordinary differential equations are analyzed. By the numerical method, the fractional operator is discretized and approximated to construct the linear differential equation between fractions. Secondly, the fractal spatial model and data grid mining algorithm are designed based on fuzzy mathematical control rules. Finally, the correlation performance of data mining algorithm is tested based on the massive spatial data of network teaching, and the self-tuning of fuzzy fractional order system parameters is simulated. The results show that the algorithm in this research can effectively mine and utilize spatial information when confronted with a large amount of network teaching data. After a long time running, it shows good robustness and avoids the fearless waste of time and space resources. The data mining algorithm based on grid design in this research has a better mining effect on information resources, provides a new solution and method for data management and collaborative transmission in many fields, and plays a positive role in promoting the development of spatial information related fields.http://www.sciencedirect.com/science/article/pii/S1110016820302490Fuzzy mixed fractional orderSpatial informationData gridOrdinary differential equation |
| spellingShingle | Guanhong Zhang Peter Brown Odbal Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid Alexandria Engineering Journal Fuzzy mixed fractional order Spatial information Data grid Ordinary differential equation |
| title | Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid |
| title_full | Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid |
| title_fullStr | Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid |
| title_full_unstemmed | Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid |
| title_short | Adoption of fuzzy mixed fractional-order ordinary differential equations in spatial information oriented data grid |
| title_sort | adoption of fuzzy mixed fractional order ordinary differential equations in spatial information oriented data grid |
| topic | Fuzzy mixed fractional order Spatial information Data grid Ordinary differential equation |
| url | http://www.sciencedirect.com/science/article/pii/S1110016820302490 |
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