Consistency of probability decision rules and its inference in probability decision table
Journal article, Peer reviewed
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http://hdl.handle.net/11250/136893Utgivelsesdato
2012Metadata
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Originalversjon
Pei, Z., Zou, L., Karimi, H.R., & Shi, P. (2012). Consistency of Probability Decision Rules and Its Inference in Probability Decision Table. Mathematical Problems in Engineering, 2012, 19. doi: 10.1155/2012/507857Sammendrag
In most synthesis evaluation systems and decision-making systems, data are represented by objects
and attributes of objectswith a degree of belief. Formally, these data can be abstracted by the form
objects; attributes; P,where P represents a kind degree of belief between objects and attributes,
such that, P is a basic probability assignment. In the paper, we provide a kind of probability
information system to describe these data and then employ rough sets theory to extract probability
decision rules. By extension of Dempster-Shafer evidence theory, we can get probabilities of
antecedents and conclusion of probability decision rules. Furthermore, we analyze the consistency
of probability decision rules. Based on consistency of probability decision rules, we provide an
inferencemethod to finish inference of probability decision rules, which can be used to decide the
class of a new object x. The conclusion points out that the inferencemethod of the paper not only
deals with precise information, but also imprecise or uncertain information as well.
Beskrivelse
Published version from the journal: Mathematical Problems in Engineering. Also available for Hindawi: http://dx.doi.org/10.1155/2012/507857