### 串行概率粗糙集近似

1. 长安大学理学院数学与信息科学系 西安710064,长安大学理学院数学与信息科学系 西安710064,长安大学理学院数学与信息科学系 西安710064
• 出版日期:2018-01-15 发布日期:2018-11-13
• 基金资助:
本文受国家自然科学基金项目(10901025,11501048)资助

### Serial Probabilistic Rough Set Approximations

MA Jian-min, YAO Hong-juan and PAN Xiao-chen

• Online:2018-01-15 Published:2018-11-13

Abstract: The classical probabilistic rough set model was proposed based on an equivalence relation and a conditional probability.However,uncertainty in knowledge base makes it difficult to satisfy the equivalence relation between any two objects.This paper considered the serial binary relation instead of an equivalence relation,making the conditional probability meaningful.Then the serial probabilistic rough set approximations were introduced based on a serial relation.Properties of the serial probabilistic rough lower and upper approximations were discussed when the target concepts are variable.Furthermore,by adjusting the two thresholds,the corresponding serial probabilistic rough lower and upper approximations were also investigated.

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