Optimal Scale Selection in Random Multi-scale Ordered Decision Systems
Aiming at the knowledge acquisition problem of multi-scale ordered information system obtained from random experiments,concepts of random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems are first introduced.Information gra...
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Format: | Article |
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Editorial office of Computer Science
2022-06-01
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Series: | Jisuanji kexue |
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Online Access: | https://www.jsjkx.com/fileup/1002-137X/PDF/1002-137X-2022-49-6-172.pdf |
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author | FANG Lian-hua, LIN Yu-mei, WU Wei-zhi |
author_facet | FANG Lian-hua, LIN Yu-mei, WU Wei-zhi |
author_sort | FANG Lian-hua, LIN Yu-mei, WU Wei-zhi |
collection | DOAJ |
description | Aiming at the knowledge acquisition problem of multi-scale ordered information system obtained from random experiments,concepts of random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems are first introduced.Information granules in random multi-scale ordered information systems as well as lower and upper approximations of sets with respect to dominance relations induced by conditional attribute set under different scales are then described.Their relationships are also clarified.Finally,concepts of several types of optimal scales in random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems are defined.It is proved that belief and plausibility functions in the Dempster-Shafer theory of evidence can be used to characterize some optimal scales in random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems,respectively. |
first_indexed | 2024-04-09T17:35:20Z |
format | Article |
id | doaj.art-cfb10c9e6d7d44d5ab6a9d49a706c268 |
institution | Directory Open Access Journal |
issn | 1002-137X |
language | zho |
last_indexed | 2024-04-09T17:35:20Z |
publishDate | 2022-06-01 |
publisher | Editorial office of Computer Science |
record_format | Article |
series | Jisuanji kexue |
spelling | doaj.art-cfb10c9e6d7d44d5ab6a9d49a706c2682023-04-18T02:32:00ZzhoEditorial office of Computer ScienceJisuanji kexue1002-137X2022-06-0149617217910.11896/jsjkx.220200067Optimal Scale Selection in Random Multi-scale Ordered Decision SystemsFANG Lian-hua, LIN Yu-mei, WU Wei-zhi01 General Education Center,Quanzhou University of Information Engineering,Quanzhou,Fujian 362000,China ;2 School of Information Engineering,Zhejiang Ocean University,Zhoushan,Zhejiang 316022,ChinaAiming at the knowledge acquisition problem of multi-scale ordered information system obtained from random experiments,concepts of random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems are first introduced.Information granules in random multi-scale ordered information systems as well as lower and upper approximations of sets with respect to dominance relations induced by conditional attribute set under different scales are then described.Their relationships are also clarified.Finally,concepts of several types of optimal scales in random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems are defined.It is proved that belief and plausibility functions in the Dempster-Shafer theory of evidence can be used to characterize some optimal scales in random multi-scale ordered information systems and dominance-equivalence-relations-based random multi-scale ordered decision systems,respectively.https://www.jsjkx.com/fileup/1002-137X/PDF/1002-137X-2022-49-6-172.pdfrough sets|granular computing|multi-scale ordered information systems|belief functions|optimal scale |
spellingShingle | FANG Lian-hua, LIN Yu-mei, WU Wei-zhi Optimal Scale Selection in Random Multi-scale Ordered Decision Systems Jisuanji kexue rough sets|granular computing|multi-scale ordered information systems|belief functions|optimal scale |
title | Optimal Scale Selection in Random Multi-scale Ordered Decision Systems |
title_full | Optimal Scale Selection in Random Multi-scale Ordered Decision Systems |
title_fullStr | Optimal Scale Selection in Random Multi-scale Ordered Decision Systems |
title_full_unstemmed | Optimal Scale Selection in Random Multi-scale Ordered Decision Systems |
title_short | Optimal Scale Selection in Random Multi-scale Ordered Decision Systems |
title_sort | optimal scale selection in random multi scale ordered decision systems |
topic | rough sets|granular computing|multi-scale ordered information systems|belief functions|optimal scale |
url | https://www.jsjkx.com/fileup/1002-137X/PDF/1002-137X-2022-49-6-172.pdf |
work_keys_str_mv | AT fanglianhualinyumeiwuweizhi optimalscaleselectioninrandommultiscaleordereddecisionsystems |