六盘水师范学院学报2024，Vol.36Issue(3)：65-74,10.DOI:10.16595/j.1671-055X.2024.03.008
基于概率的区间值决策信息系统的不确定性度量
Uncertainty Measurement of Interval-valued Decision Information System based on Probability
摘要
Abstract
Interval similarity is the core of interval-valued decision information system,and the related uncertainty measure-ment is of great significance.Aiming at the uncertainty measurement problem of interval-valued decision information system,this paper uses the description of probability to establish high-quality interval similarity and information measurement.Firstly,inter-val similarity based on probability is proposed to establish interval similarity relationship.Then,δ-rough conditional information entropy is proposed by combining roughness and conditional information entropy,and the dual granulation monotonicity of condi-tional attribute and threshold is proved.Finally,numerical experiments verify the effectiveness of correlation measure and monoto-nicity.Based on the new perspective of probability,the new conditional entropy can not only measure the uncertainty caused by the granulation structure,but also can measure the uncertainty caused by upper and lower approximate sets.关键词
粗糙集/区间值决策信息系统/概率相似度/粗糙度/条件信息熵/δ-粗糙条件信息熵Key words
Rough set/Interval-valued decision systems/Probability similarity/Roughness/Conditional information entropy/δ-rough conditional information entropy分类
信息技术与安全科学引用本文复制引用
刘霞,陈本卫..基于概率的区间值决策信息系统的不确定性度量[J].六盘水师范学院学报,2024,36(3):65-74,10.基金项目
四川省教育厅科研规划项目"微视频教学资源在专科数学教学中的实践与探索——以川北幼儿师范高等专科学校为例"(17sb0145) （17sb0145）
四川省教育厅科研规划项目"广元市蔬菜市场需求和蔬菜价格变化研究"(17sb0144). （17sb0144）
