逆P(ρ(σ),η(τ))-集合与其代数性质

Inverse P(ρ(σ),η(τ))-sets and their algebra feature

将迁移的随机特性引入逆P-集合(XˉF,XˉFˉ),给出了逆P(ρ(σ),η(τ))-集合的概念与结构;讨论了内逆P(ρ(σ),η(τ))-集合与逆P-集合的关系,即逆P-集合是逆P(ρ(σ),η(τ))-集合的特例,逆P(ρ(σ),η(τ))-集合是逆P-集合的推广;给出逆P(ρ(σ),η(τ))-集合的交集、并集、补集与差集四种运算,讨论了逆P(ρ(σ),η(τ))-集合的代数性质。

Based on the inverse P-sets （ XˉF,XˉFˉ） , the concept and structure of inverse P（ρ（σ）,η（τ））-sets with random trans-lation characteristics are proposed. The relationship between inverse P（ρ（σ）,η（τ））-sets and inverse P-sets is discussed, which shows P（ρ（σ）,η（τ））-sets are the general forming of inverse P-sets, while inverse P-sets are a special case of P（ρ（σ）,η（τ））-sets. Four operations including intersection, union set, complementary set and difference set are presented. Furthermore the algebra feature about inverse P（ρ（σ）,η（τ））-sets is given.