Abstract
Uncertain variables, applied to modelling imprecise quantities, are fundamental concepts in uncertainty theory. In order to characterize the information deficiency of an uncertain variable, this paper proposes a definition of quadratic entropy. Compared with the traditional entropy, it is much easier to compute and has a wider range. Furthermore, the principle of maximum entropy is applied to quadratic entropy, and two theorems of maximum quadratic entropy with moment constraint are proved.
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Dai, W. Quadratic entropy of uncertain variables. Soft Comput 22, 5699–5706 (2018). https://doi.org/10.1007/s00500-017-2602-y
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DOI: https://doi.org/10.1007/s00500-017-2602-y