Quadratic Entropy of Uncertain Variables
نویسنده
چکیده
Uncertainty theory is a branch of axiomatic mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. And uncertain variable is a fundamental concept in uncertainty theory which is used to represent imprecise quantities. This paper proposes a definition of quadratic entropy to characterize the uncertainty of uncertain variables resulting from information deficiency. Furthermore, this paper discusses the principle of maximum quadratic entropy and proves several maximum quadratic entropy theorems with moment constraints.
منابع مشابه
Maximum Entropy Principle for Quadratic Entropy of Uncertain Variables
In uncertainty theory, quadratic entropy is a type of entropy that provide a quantitative measurement of the uncertainty of uncertain variables. This paper presents the maximum entropy principle for quadratic entropy of uncertain variables, that is, out of all the uncertainty distributions satisfying given constraints, choose the maximum quadratic entropy one.
متن کاملPartial Quadratic Entropy of Uncertain Random Variables
Partial entropy is a measure to characterize how much of entropy of an uncertain random variable belongs to uncertain variables. In this paper, a definition of partial quadratic entropy of uncertain random variables is proposed. Furthermore, some properties of partial quadratic entropy are derived such as positive linearity. c ©2016 World Academic Press, UK. All rights reserved.
متن کاملTriangular Entropy of Uncertain Variables
Entropy is a measure of the uncertainty associated with an uncertain variable. So far, entropy, quadratic entropy and sine entropy have been proposed for uncertain variables. This paper will propose a triangular entropy for uncertain variables, and verify its properties such as translation invariance and positive linearity.
متن کاملQuadratic Cross Entropy of Uncertain Variables
Uncertainty theory is a branch of axiomatic mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. In uncertainty theory this paper proposes a definition of quadratic cross entropy and the principle of minimum quadratic cross entropy. Based on the principle, an application in statistics and a numerical algorithm to estimate uncertain dis...
متن کاملPartial entropy of uncertain random variables
In this paper, we mainly propose a definition of partial entropy for uncertain random variables. In fact, partial entropy is a tool to characterize how much of entropy of an uncertain random variable belongs to the uncertain variable. Furthermore, some properties of partial quadratic entropy are investigated such as positive linearity. Finally, some other types of partial entropies are studied.
متن کامل