智能系统学报2018，Vol.13Issue(4)：650-655,6.DOI:10.11992/tis.201706081
基于关联熵系数的粗糙Vague集相似性度量方法
Measurement method of the similarity of rough vague sets based on relative entropy coefficient
摘要
Abstract
The rough Vague set is a theoretical tool that combines the theories of rough and Vague sets to deal with un-certain information.In this paper,we introduce the concept of relative entropy and its coefficient to a rough Vague set to investigate a method for measuring relative entropy,its coefficient,and the similarity of Vague and rough fuzzy sets.We also analyzed their main properties.We verified that the coefficient of the relative entropy has similarity with that of rough Vague sets,and that this coefficient can be used to measure the similarity of rough Vague sets.Finally,we con-ducted a case study to verify the effectiveness of using the relative entropy coefficient of a rough Vague set to determ-ine the degree of similarity between rough Vague sets.This theory provides a new method for measuring the similarity of rough Vague sets.关键词
粗糙Vague集/相似性度量/关联熵/关联熵系数/粗糙集Key words
rough Vague set/similarity measure/relative entropy/relative entropy coefficient/rough set分类
信息技术与安全科学引用本文复制引用
张倩倩,马媛媛,徐久成..基于关联熵系数的粗糙Vague集相似性度量方法[J].智能系统学报,2018,13(4):650-655,6.基金项目
国家自然科学基金项目(61772176,61370169,61402153) （61772176,61370169,61402153）
河南省科技攻关(重点)项目(182102210362,162102210261) （重点）
河南师范大学青年科学基金项目(2015QK26) （2015QK26）
河南省高等学校重点科研项目(18A520031,5201119140059). （18A520031,5201119140059）
