Outer P（ρ,σ）-set’s Random Characteristic and Application  

作　　者：ZHA NG Huan-li WANG Dong-mei 

机构地区：[1] School of Mathematics, Shandong University, Jinan 250100, China [2] Department of Information Engineering, Zhumadian Vocational Technology College, Zhumadian 463000, China

出　　处：《Chinese Quarterly Journal of Mathematics》2014年第2期298-306,共9页数学季刊（英文版）

基　　金：Foundation item： Supported by the Basic and Frontier Technology Research Projects of Henan Province （132300410289）; Supported by the Natural Science Foundation of Fujian Province（2012D112）

摘　　要：Based on the conception of P(ρ,σ)-set(XP ˉFρ, XPFσ), this paper studied the relation between outer P(ρ,σ)-set and outer P-set: give outer P(ρ,σ)-set and outer P-set relation theorem, outer P(ρ,σ)-set and numerical value σ relation theorem, outer P(ρ,σ)-set's range;studied other characteristics of outer P(ρ,σ)-set: give the finiteness theorem of outer P(ρ,σ)-set, the set chain theorem of outer P(ρ,σ)-set, the outer P(ρ,σ)-set probability interval finite partition theorem, and its corollary; also give generation, reduction, identification theorem of outer P(ρ,σ)-set, filter generation theorem of outer P(ρ,σ)-set; finally give its application.Based on the conception of P（ρ,σ）-set （XPFˉρ , XPFσ ）, this paper studied the relation between outer P（ρ,σ）-set and outer P-set： give outer P（ρ,σ）-set and outer P-set relation theorem, outer P（ρ,σ）-set and numerical value σ relation theorem, outer P（ρ,σ）-set＇s range;studied other characteristics of outer P（ρ,σ）-set： give the finiteness theorem of outer P（ρ,σ）-set, the set chain theorem of outer P（ρ,σ）-set, the outer P（ρ,σ）-set probability interval finite partition theorem, and its corollary; also give generation, reduction, identification theorem of outer P（ρ,σ）-set, filter generation theorem of outer P（ρ,σ）-set;finally give its application.

关 键 词：P-set outer P(ρ σ)-set FINITENESS finite partition PROBABILITY 

分 类 号：O144[理学—数学]