Rough Set Approach to Incomplete Multiscale Information System

Multiscale information system is a new knowledge representation system for expressing the knowledge with different levels of granulations. In this paper, by considering the unknown values, which can be seen everywhere in real world applications, the incomplete multiscale information system is firstl...

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Main Authors: Xibei Yang, Yong Qi, Dongjun Yu, Hualong Yu, Xiaoning Song, Jingyu Yang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/538968
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author Xibei Yang
Yong Qi
Dongjun Yu
Hualong Yu
Xiaoning Song
Jingyu Yang
author_facet Xibei Yang
Yong Qi
Dongjun Yu
Hualong Yu
Xiaoning Song
Jingyu Yang
author_sort Xibei Yang
collection DOAJ
description Multiscale information system is a new knowledge representation system for expressing the knowledge with different levels of granulations. In this paper, by considering the unknown values, which can be seen everywhere in real world applications, the incomplete multiscale information system is firstly investigated. The descriptor technique is employed to construct rough sets at different scales for analyzing the hierarchically structured data. The problem of unravelling decision rules at different scales is also addressed. Finally, the reduct descriptors are formulated to simplify decision rules, which can be derived from different scales. Some numerical examples are employed to substantiate the conceptual arguments.
format Article
id doaj-art-ed024b5769cd4c4084733a865c3df407
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-ed024b5769cd4c4084733a865c3df4072025-08-20T02:22:09ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/538968538968Rough Set Approach to Incomplete Multiscale Information SystemXibei Yang0Yong Qi1Dongjun Yu2Hualong Yu3Xiaoning Song4Jingyu Yang5School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, ChinaKey Laboratory of Intelligent Perception and Systems for High-Dimensional Information, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaSchool of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, ChinaKey Laboratory of Intelligent Perception and Systems for High-Dimensional Information, Nanjing University of Science and Technology, Nanjing 210094, ChinaMultiscale information system is a new knowledge representation system for expressing the knowledge with different levels of granulations. In this paper, by considering the unknown values, which can be seen everywhere in real world applications, the incomplete multiscale information system is firstly investigated. The descriptor technique is employed to construct rough sets at different scales for analyzing the hierarchically structured data. The problem of unravelling decision rules at different scales is also addressed. Finally, the reduct descriptors are formulated to simplify decision rules, which can be derived from different scales. Some numerical examples are employed to substantiate the conceptual arguments.http://dx.doi.org/10.1155/2014/538968
spellingShingle Xibei Yang
Yong Qi
Dongjun Yu
Hualong Yu
Xiaoning Song
Jingyu Yang
Rough Set Approach to Incomplete Multiscale Information System
The Scientific World Journal
title Rough Set Approach to Incomplete Multiscale Information System
title_full Rough Set Approach to Incomplete Multiscale Information System
title_fullStr Rough Set Approach to Incomplete Multiscale Information System
title_full_unstemmed Rough Set Approach to Incomplete Multiscale Information System
title_short Rough Set Approach to Incomplete Multiscale Information System
title_sort rough set approach to incomplete multiscale information system
url http://dx.doi.org/10.1155/2014/538968
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AT yongqi roughsetapproachtoincompletemultiscaleinformationsystem
AT dongjunyu roughsetapproachtoincompletemultiscaleinformationsystem
AT hualongyu roughsetapproachtoincompletemultiscaleinformationsystem
AT xiaoningsong roughsetapproachtoincompletemultiscaleinformationsystem
AT jingyuyang roughsetapproachtoincompletemultiscaleinformationsystem