Cross-entropy measure of uncertain variables
نویسندگان
چکیده
ross-entropy is a measure of the difference between two distribution functions. In order to deal with the divergence of uncertain variables via uncertainty distributions, this paper aims at introducing the concept of cross-entropy for uncertain variables based on uncertain theory, as well as investigating some mathematical properties of this concept. Several practical examples are also provided to calculate uncertain cross-entropy. Furthermore, the minimum cross-entropy principle is proposed in this paper. Finally, a study of generalized cross-entropy for uncertain variables is carried out. 2012 Elsevier Inc. All rights reserved.
منابع مشابه
Quadratic 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 کاملCross-Entropy of Uncertain Variables
In order to deal with the divergence of uncertain variables from a prior one, this paper is devoted to introduce the concept of cross-entropy for uncertain variables and study the minimum cross-entropy principle.
متن کاملElliptic entropy of uncertain random variables
Entropies of uncertain random variables are introduced to provide some kinds of quantitative measurement of the uncertainty. In chance theory, a concept of entropy for uncertain random variables has been defined by using logarithm. However, such an entropy fails to measure the uncertain degree of some uncertain random variables. For solving this problem, this paper firstly define the elliptic e...
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 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Inf. Sci.
دوره 201 شماره
صفحات -
تاریخ انتشار 2012