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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Main Authors: Huaxiong Li, Xianzhong Zhou
Format: Article
Language:English
Published: Springer 2011-02-01
Series:International Journal of Computational Intelligence Systems
Subjects:
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
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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