Risk Decision Making Based on Decision-theoretic Rough Set: A Three-way View Decision Model
Rough set theory has witnessed great success in data mining and knowledge discovery, which provides a good support for decision making on a certain data. However, a practical decision problem always shows diversity under the same circumstance according to different personality of the decision makers...
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Format: | Article |
Language: | English |
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Springer
2011-02-01
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Series: | International Journal of Computational Intelligence Systems |
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Online Access: | https://www.atlantis-press.com/article/2134.pdf |
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author | Huaxiong Li Xianzhong Zhou |
author_facet | Huaxiong Li Xianzhong Zhou |
author_sort | Huaxiong Li |
collection | DOAJ |
description | Rough set theory has witnessed great success in data mining and knowledge discovery, which provides a good support for decision making on a certain data. However, a practical decision problem always shows diversity under the same circumstance according to different personality of the decision makers. A simplex decision model can not provide a full description on such diverse decisions. In this article, a review of Pawlak rough set models and probabilistic rough set models is presented, and a three-way view decision model based on decision-theoretic rough set model is proposed, in which optimistic decision, pessimistic decision, and equable decision are provided according to the cost of misclassification. The thresholds of probabilistic inclusion are calculated based on minimization of risk cost under respective decision bias. The study not only presents a new theoretic decision model considering the different personality of the decision makers, but also provides a practical explanation and an illustrative example on diverse risk bias decision. Keywords: decision-theoretic rough set; three-way view decision; risk decision making; Bayesian decision |
first_indexed | 2024-12-11T22:34:27Z |
format | Article |
id | doaj.art-ffa80e3589c14d929bc619c1b35367b6 |
institution | Directory Open Access Journal |
issn | 1875-6883 |
language | English |
last_indexed | 2024-12-11T22:34:27Z |
publishDate | 2011-02-01 |
publisher | Springer |
record_format | Article |
series | International Journal of Computational Intelligence Systems |
spelling | doaj.art-ffa80e3589c14d929bc619c1b35367b62022-12-22T00:48:02ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832011-02-014110.2991/ijcis.2011.4.1.1Risk Decision Making Based on Decision-theoretic Rough Set: A Three-way View Decision ModelHuaxiong LiXianzhong ZhouRough set theory has witnessed great success in data mining and knowledge discovery, which provides a good support for decision making on a certain data. However, a practical decision problem always shows diversity under the same circumstance according to different personality of the decision makers. A simplex decision model can not provide a full description on such diverse decisions. In this article, a review of Pawlak rough set models and probabilistic rough set models is presented, and a three-way view decision model based on decision-theoretic rough set model is proposed, in which optimistic decision, pessimistic decision, and equable decision are provided according to the cost of misclassification. The thresholds of probabilistic inclusion are calculated based on minimization of risk cost under respective decision bias. The study not only presents a new theoretic decision model considering the different personality of the decision makers, but also provides a practical explanation and an illustrative example on diverse risk bias decision. Keywords: decision-theoretic rough set; three-way view decision; risk decision making; Bayesian decisionhttps://www.atlantis-press.com/article/2134.pdfKeywords: decision-theoretic rough set; three-way view decision; risk decision making; Bayesian decision |
spellingShingle | Huaxiong Li Xianzhong Zhou Risk Decision Making Based on Decision-theoretic Rough Set: A Three-way View Decision Model International Journal of Computational Intelligence Systems Keywords: decision-theoretic rough set; three-way view decision; risk decision making; Bayesian decision |
title | Risk Decision Making Based on Decision-theoretic Rough Set: A Three-way View Decision Model |
title_full | Risk Decision Making Based on Decision-theoretic Rough Set: A Three-way View Decision Model |
title_fullStr | Risk Decision Making Based on Decision-theoretic Rough Set: A Three-way View Decision Model |
title_full_unstemmed | Risk Decision Making Based on Decision-theoretic Rough Set: A Three-way View Decision Model |
title_short | Risk Decision Making Based on Decision-theoretic Rough Set: A Three-way View Decision Model |
title_sort | risk decision making based on decision theoretic rough set a three way view decision model |
topic | Keywords: decision-theoretic rough set; three-way view decision; risk decision making; Bayesian decision |
url | https://www.atlantis-press.com/article/2134.pdf |
work_keys_str_mv | AT huaxiongli riskdecisionmakingbasedondecisiontheoreticroughsetathreewayviewdecisionmodel AT xianzhongzhou riskdecisionmakingbasedondecisiontheoreticroughsetathreewayviewdecisionmodel |