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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Main Author: FANG Lian-hua, LIN Yu-mei, WU Wei-zhi
Format: Article
Language:zho
Published: Editorial office of Computer Science 2022-06-01
Series:Jisuanji kexue
Subjects:
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.
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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