Paper Info
Title
On Relationship Between Probabilistic Rough Set And Bayesian Risk Decision Over Two Universes
Abstract
We consider a problem of Bayesian risk decision based on probabilistic rough set over two universes. It is a new extension of classical probabilistic rough set on the same universe. We give four rough set models on probabilistic approximation space over two universes. Then we study the interrelationship between Bayesian risk decision and probabilistic rough set models over two universes. The results show that there must exist a kind of Bayesian minimum risk decision problem corresponding to one of the probabilistic rough set models over two universes. In fact, the conclusion also includes some generalized probabilistic rough set models on the same universe by other authors. And at the same time, the principal and validity of the Bayesian risk decision based on probabilistic rough set over two universes are tested by a numerical example of the medical diagnosis systems in detail. The probabilistic rough set approach over two universes gives an effective assistant for decision makers in the context of risk and uncertainty.
Year
DOI
Venue
2012
10.1080/03081079.2011.634067
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
Keywords
Field
DocType
Bayesian risk decision, probabilistic rough set, two universes
Decision problem,Rough set,Universe,Artificial intelligence,Probabilistic logic,Probabilistic relevance model,Medical diagnosis,Machine learning,Mathematics,Dominance-based rough set approach,Bayesian probability
Journal
Volume
Issue
ISSN
41
3
0308-1079
Citations 
PageRank 
References 
28
0.78
18
Authors
2
Name
Order
Citations
PageRank
Weimin Ma142726.76
Bingzhen Sun269631.92