Matrix Method for the Optimal Scale Selection of Multi-Scale Information Decision Systems
Autor: | Ying Sheng Chen, Jian Xin Huang, Jin Jin Li |
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Jazyk: | angličtina |
Rok vydání: | 2019 |
Předmět: |
0209 industrial biotechnology
Scale (ratio) relation matrix Process (engineering) Computer science General Mathematics 02 engineering and technology computer.software_genre Matrix (mathematics) 020901 industrial engineering & automation information system 0202 electrical engineering electronic engineering information engineering Computer Science (miscellaneous) Information system multi-scale decision system Logical matrix Engineering (miscellaneous) lcsh:Mathematics Construct (python library) lcsh:QA1-939 scale selection 020201 artificial intelligence & image processing rough sets Data mining Rough set computer Matrix method |
Zdroj: | Mathematics Volume 7 Issue 3 Mathematics, Vol 7, Iss 3, p 290 (2019) |
ISSN: | 2227-7390 |
DOI: | 10.3390/math7030290 |
Popis: | In multi-scale information systems, the information is often characterized at multi scales and multi levels. To facilitate the computational process of multi-scale information systems, we employ the matrix method to represent the multi-scale information systems and to select the optimal scale combination of multi-scale decision information systems in this study. To this end, we first describe some important concepts and properties of information systems using some relational matrices. The relational matrix is then introduced into multi-scale information systems, and used to describe some main concepts in systems, including the lower and upper approximate sets and the consistence of systems. Furthermore, from the view of the relation matrix, the scale significance is defined to describe the global optimal scale and the local optimal scale of multi-scale information systems. Finally, the relational matrix is used to compute the scale significance and to construct the optimal scale selection algorithms. The efficiency of these algorithms is examined by several practical examples and experiments. |
Databáze: | OpenAIRE |
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