Information Volume of Mass Function

被引：159
作者：
Deng, Y. [1 ,2 ,3 ]
机构：
[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Peoples R China
[2] Shannxi Normal Univ, Sch Educ, Xian 710062, Peoples R China
[3] Vanderbilt Univ, Med Ctr, Dept Biostat, Nashville, TN 37235 USA
来源：
INTERNATIONAL JOURNAL OF COMPUTERS COMMUNICATIONS & CONTROL | 2020年 / 15卷 / 06期
基金：
中国国家自然科学基金;
关键词：
information volume; mass function; Shannon entropy; Deng entropy; GROUP DECISION-MAKING; FUZZY;
D O I：
10.15837/ijccc.2020.6.3983
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Given a probability distribution, its corresponding information volume is Shannon entropy. However, how to determine the information volume of a given mass function is still an open issue. Based on Deng entropy, the information volume of mass function is presented in this paper. Given a mass function, the corresponding information volume is larger than its uncertainty measured by Deng entropy. In addition, when the cardinal of the frame of discernment is identical, both the total uncertainty case and the BPA distribution of the maximum Deng entropy have the same information volume. Some numerical examples are illustrated to show the efficiency of the proposed information volume of mass function.
引用
收藏
页码：1 / 13
页数：13
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