Soft Computing

, Volume 22, Issue 17, pp 5699–5706 | Cite as

Quadratic entropy of uncertain variables



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.


Uncertain variable Entropy Quadratic entropy Principle of maximum entropy 


Compliance with ethical standards

Conflict of interest

Author declares that he has no conflict of interest.

Human participants or animals performance

And this article does not contain any studies with human participants or animals performed by any of the authors.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Financial EngineeringCentral University of Finance and EconomicsBeijingChina

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