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Consistency of Probability Decision Rules and Its Inference in Probability Decision Table

Pei, Zheng and Zou, Li and Karimi, Hamid Reza and Shi, Peng (2012) Consistency of Probability Decision Rules and Its Inference in Probability Decision Table. Mathematical Problems in Engineering, 2012. pp. 1-19. ISSN 1024-123X

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Abstract

In most synthesis evaluation systems and decision-making systems, data are represented by objects and attributes of objects with 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 inference method 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 inference method of the paper not only deals with precise information, but also imprecise or uncertain information as well.

Item Type: Article
Uncontrolled Keywords: ResPubID25709, probability information system, probability decision tables, probability decision rules, inference method
Subjects: FOR Classification > 0802 Computation Theory and Mathematics
Faculty/School/Research Centre/Department > School of Engineering and Science
Depositing User: Yimin Zeng
Date Deposited: 10 Mar 2014 01:20
Last Modified: 14 Aug 2014 06:32
URI: http://vuir.vu.edu.au/id/eprint/23256
DOI: 10.1155/2012/507857
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