A note on information entropy measures for vague sets and its applications

被引：207

作者：

Zhang, Qian-Sheng ^{[1
]}

Jiang, Sheng-Yi ^{[1
]}

机构：

[1] Guangdong Univ Foreign Studies, Sch Informat Sci & Technol, Guangzhou 510420, Guangdong, Peoples R China

来源：

INFORMATION SCIENCES | 2008年 / 178卷 / 21期

基金：

中国国家自然科学基金;

关键词：

vague set; fuzziness measure; vague entropy; vague cross-entropy; divergence degree;

D O I：

10.1016/j.ins.2008.07.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new nonprobabilistic entropy of a Vague set is proposed by means of the intersection and union of the membership degree and nonmembership degree of the vague set. The concept called vague cross-entropy of vague sets will also be discussed and its definition is given by analogy with the cross-entropy of probability distributions. Finally, two numeric examples are presented to illustrate the applications of vague cross-entropy to pattern recognition and medical diagnosis. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：4184 / 4191

页数：8

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