Arc entropy of uncertain random variables and its applications

Due to the complexity of the real world, randomness and uncertainty are ubiquitous and interconnected in the real world. In order to measure the research objects that contain both randomness and uncertainty in practical problems, and extend the entropy theory of uncertain random variables, this pape...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2024-01, Vol.46 (1), p.1583-1595
Main Authors: Tan, Guimei, Yu, Yuehai, Yu, Xichang
Format: Article
Language:English
Subjects:
Entropy
Random variables
Randomness
Uncertainty
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Summary:Due to the complexity of the real world, randomness and uncertainty are ubiquitous and interconnected in the real world. In order to measure the research objects that contain both randomness and uncertainty in practical problems, and extend the entropy theory of uncertain random variables, this paper introduces the arc entropy of uncertain random variables and the arc entropy of their functions. On this basis, the mathematical properties of arc entropy and two key formulas for calculating arc entropy are also studied and derived. Finally, two types of the mean variance entropy model with the risk and diversification are established, and the corresponding applications to rare book selection for the rare book market are also introduced.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-230995