Fuzzy probabilistic rough sets and their corresponding three-way decisions

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 app...

Full description

Saved in:
Bibliographic Details
Published inKnowledge-based systems Vol. 91; pp. 126 - 142
Main Authors Zhao, Xue Rong, Hu, Bao Qing
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2016
Subjects
Fuzzy event
Fuzzy probabilistic rough set
Interval-valued fuzzy event
Interval-valued fuzzy probabilistic rough set
Rough set
Three-way decisions
Three-way decisions
Interval-valued fuzzy probabilistic rough set
Fuzzy probabilistic rough set
Fuzzy event
Interval-valued fuzzy event
Rough set
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:0950-7051
1872-7409
DOI:10.1016/j.knosys.2015.09.018