Fuzzy probabilistic rough sets and their corresponding three-way decisions

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• 作者：Xue Rong Zhao^a ; ^b ; Bao Qing Hu ; ^a ; ^b ; ^{bqhu@whu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; ^{bqhujjhe@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Rough set ; Fuzzy event ; Interval-valued fuzzy event ; Fuzzy probabilistic rough set ; Interval-valued fuzzy probabilistic rough set ; Three-way decisions
• 刊名：Knowledge-Based Systems
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：91
• 期：Complete
• 页码：126-142
• 全文大小：591 K

文摘

The concept of probabilistic rough sets, as a main subject of this paper, is intimately connected with the concept of decision-theoretic rough sets. This paper investigates fuzzy and interval-valued fuzzy probabilistic rough sets within frameworks of fuzzy and interval-valued fuzzy probabilistic approximation spaces, respectively. Four types of fuzzy probabilistic rough sets as well as interval-valued fuzzy probabilistic rough sets are established in terms of different constraints on parameters. To find a suitable way of explaining and determining these parameters in each model, three-way decisions are studied based on Bayesian minimum risk decision procedure, i.e., the decision-theoretic rough set approach. The proposed models in this paper broaden applications of probabilistic rough sets due to their abilities of directly dealing with real-valued and interval-valued data.