Decision-theoretic rough set model of multi-source decision systems
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ORIGINAL ARTICLE
Decision‑theoretic rough set model of multi‑source decision systems Binbin Sang1 · Yanting Guo2 · Derong Shi1 · Weihua Xu1
Received: 4 February 2017 / Accepted: 16 September 2017 © Springer-Verlag GmbH Germany 2017
Abstract Through the complementary integration of information from different sources, information fusion can improve the decision-making process in the increasing uncertain environments. How to make full use of the information from various sources to make decisions is a key problem in multi-source decision-theoretic. The more accurate and comprehensive information is, the easier the decision will be. Thus the uncertainty of decision-making is an objective criterion for evaluating the fusion effect. Therefore, three kinds of multi-source decision methods are proposed based on considering the uncertainty of decisionmaking process, which are the conditional entropy multisource decision (CE-MSD) method, the decision support degree multi-source decision (DS-MSD) method and the mean multi-source decision (M-MSD) method. The CEMSD method based on taking into account the uncertainty of each condition attribute for decisions aims to select the most reliable source for each attribute according to the conditional entropy, and then make final decisions under a new restructuring decision table. The DS-MSD method proposed by considering the uncertainty of condition attribute set for decisions aims to make the final decision through the decision support degree of all the sources to each object. The M-MSD method and the approximate precision index are introduced as reference standards to measure the effectiveness of CE-MSD and DS-MSD in the multi-source decision * Weihua Xu [email protected]; [email protected] 1
School of Science, Chongqing University of Technology, 400054 Chongqing, People’s Republic of China
Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macau, People’s Republic of China
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system. Meanwhile, three corresponding algorithms are designed to verify the effectiveness and feasibility of the proposed decision methods. Finally, in order to verify the validity of methods, approximation accuracies of CE-MSD, DS-MSD and M-MSD are compared in multi-source decision systems which are generated by adding Gauss noise and random noise to Data set downloaded from UCI. In sum, the decision theory of multi-source decision systems is a generalization of the decision-theoretic rough set, which is worthy of further research. Keywords Decision-theoretic rough set · Multiple-source decision systems · Information fusion · Information system
1 Introduction With the development of information technology, data size is increasing and the amount of data is also growing. One of the most urgent problems is how to use data from multiple sources to make decisions. Through the integration of data from different sources, we can make up for the deficiency of the single data to achieve the mutual complement and mutual confirmation of a variety of data sources. In
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