P-二重粗积分与函数双向S-粗集的近似精度  

P-Double Rough Integrals and the Approximate Precision Degree of Function Two-Direction S-Rough Sets

作　　者：朱丽芹[1] 

机构地区：[1]济南大学理学院,山东济南250022

出　　处：《济南大学学报（自然科学版）》2010年第4期417-419,共3页Journal of University of Jinan(Science and Technology)

基　　金：山东省优秀中青年科学家奖励基金(BS2009SF021)

摘　　要：以函数双向S-粗集的上、下近似生成的函数为基础,提出P-粗区域和P-二重粗积分的概念,并讨论其性质,指出P-二重粗积分是F-二重粗积分、F二重粗积分和普通二重积分的推广。在P-二重粗积分的基础上,提出函数双向S-粗集的近似精度与近似粗糙度的概念,得出函数双向S-粗集可分辨定理。Based on the functions generated from the upper approximation and the lower approximation in function two-direction S-rough sets,the concepts and characteristics of P-rough area and P-double rough integrals are proposed.In addition,it is pointed that the P-double rough integrals are the generalization of F-double rough integrals,F-double rough integrals and the ordinary double integrals.Finally,based on the P-double rough integrals,the concepts of approximate precision degree and the approximate rough degree of the function two-direction S-rough sets are given,and the discernible theorem of the function two-direction S-rough sets is obtained.

关 键 词：函数双向S-粗集 P-粗区域 P-二重粗积分 近似精度 近似粗糙度 

分 类 号：O159[理学—数学]