A new definition of cross entropy for uncertain random variables and its application

被引：10
作者：
Jia, Lifen [1 ]
Yang, Xiangfeng [2 ]
Gao, Xin [3 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China
[2] Univ Int Business & Econ, Sch Informat Technol & Management, Beijing, Peoples R China
[3] North China Elect Power Univ, Sch Math Sci & Phys, Beijing 102206, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 35卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cross entropy; uncertain random variable; minimum spanning tree; uncertain random network; SPANNING TREE PROBLEM;
D O I：
10.3233/JIFS-18268
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper proposes a new definition of cross entropy for uncertain random variables, and derives a formula. Moreover, this paper introduces generalized cross entropy for uncertain random variables, and discusses its properties. Based on the definition of cross entropy, a cross entropy chance distribution model of degree-constrained minimum spanning tree (DCMST) problem is proposed. An algorithm is designed here to solve the model. Finally, a numerical example is provided to illustrate the effectiveness of the proposed model and algorithm.
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页码：1193 / 1204
页数：12
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