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- Title
On the Entropy and the Maximum Entropy Principle of Uncertain Variables.
- Authors
Liu, Yujun; Ma, Guanzhong
- Abstract
A new variance formula is developed using the generalized inverse of an increasing function. Based on the variance formula, a new entropy formula for any uncertain variable is provided. Most of the entropy formulas in the literature are special cases of the new entropy formula. Using the new entropy formula, the maximum entropy distribution for unimodel entropy of uncertain variables is provided without using the Euler–Lagrange equation.
- Subjects
MAXIMUM entropy method; EULER-Lagrange equations; LAGRANGE equations; INVERSE functions
- Publication
Entropy, 2023, Vol 25, Issue 8, p1195
- ISSN
1099-4300
- Publication type
Article
- DOI
10.3390/e25081195