Uncertainty measure based on Tsallis entropy in evidence theory |
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| Authors: | Xiaozhuan Gao Fan Liu Lipeng Pan Yong Deng Sang-Bing Tsai |
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| Affiliation: | 1. Institute of Fundamental and Frontier Science, University of Electronic Science and Technology of China, Chengdu, 610054 China;2. Zhongshan Institute, University of Electronic Science and Technology of China, Guangdong, 528402 China |
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| Abstract: | Dempster-Shafer evidence theory has been widely used in many applications due to its advantages with weaker conditions than Bayes probability. How to measure the uncertainty of basic probability assignment (BPA) in Dempster-Shafer evidence theory is an open and essential issue. Tsallis entropy as nonextensive entropy proposed according to multifractals has been used in many fields. In this paper, a new uncertainty measure of BPA is presented based on Tsallis entropy. The key issue is to determine the value of in Tsallis entropy. In addition, this paper also analyzes the properties of proposed uncertainty measure. Some numerical examples are used to illustrate the efficiency of the proposed method. Finally, the paper also discusses the application of the proposed method in decision-making. |
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| Keywords: | basic probability assignment belief function Dempster-Shafer evidence theory Tsallis entropy uncertainty |
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