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
刘霞 1陈本卫2
作者信息
- 1. 川北幼儿师范高等专科学校初等教育学院,四川 广元 628017
- 2. 川北幼儿师范高等专科学校初等教育学院,四川 广元 628017;四川师范大学数学科学学院,四川 成都 610066
- 折叠
摘要
区间相似度是区间值决策信息系统的核心,相关的不确定性度量具有重要意义.针对区间值决策信息系统的不确定性度量问题,采用概率刻画建立改进的区间相似度和信息测量.基于概率的区间相似度,建立δ-区间相似关系;结合粗糙度和条件信息熵,提出δ-粗糙条件信息熵,并证明了条件属性和阈值的双重粒化单调性;数值实验验证了相关度量和单调性的有效性.基于概率的新视角,改进的粗糙条件信息熵不仅能够度量粒度结构分类的不确定性,还能度量上下近似集合分类的不确定性.
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引用本文复制引用
基金项目
四川省教育厅科研规划项目(17sb0145)
四川省教育厅科研规划项目(17sb0144)
出版年
2024
国家科技期刊平台
NSTL
万方数据