一元F-粗积分的概率估计  

Probability Estimation for Unary F-rough Integrals

作　　者：郭志林[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《模糊系统与数学》2010年第5期111-117,共7页Fuzzy Systems and Mathematics

基　　金：河南省自然科学基金资肋项目(092102210152);河南省政府政策研究招标课题(B373)

摘　　要：在函数单向S—粗集生成的一元F-粗积分的基础上,结合元素迁移的概率特征,提出了依概率p-粗积分的概念,给出了依概率p-粗积分上下关系链定理和依概率p-粗积分关系链定理,讨论了依概率p-粗积分和F-粗积分及牛顿积分间的关系。Based on unary F-rough integrals generated by foundation of one direction F-rough sets and probabilistic characteristics of element transfer,the concept of P-rough integrals depending on probability was proposed.The up and down chain theorem of P-rough integrals and chain theorem of P-rough integrals depending on probability were put forward.Meanwhile,the relations of P-rough integrals,F-rough integrals and Newton integrals were discussed.

关 键 词：函数单向S—粗集 F-粗积分 概率 概率生成 

分 类 号：O159[理学—数学]