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 nu...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.展开更多
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）
文摘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.
