Abstract: Based on the inverse P-sets [(XF,XF)], the concept and structure of inverse [P(ρ(σ),η(τ))]-sets with ?random translation 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.

Key words: inverse P-set, inverse[P(ρ(σ),η(τ))]-sets, randomness of element transition, algebra feature

摘要： 将迁移的随机特性引入逆P-集合[(XF,XF)]，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。

关键词: 逆P-集合, 逆[P(&rho, (&sigma, ), &eta, (&tau, ))]-集合, 迁移的随机性, 代数性质