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

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Pei, Zheng, Zou, Li, 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

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.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/23256
DOI https://doi.org/10.1155/2012/507857
Official URL http://www.hindawi.com/journals/mpe/2012/507857/
Subjects Historical > FOR Classification > 0802 Computation Theory and Mathematics
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID25709, probability information system, probability decision tables, probability decision rules, inference method
Citations in Scopus 1 - View on Scopus
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