Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (21): 129-132.

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

ZHANG Yueyun   

  1. School of Mathematics Science, Dezhou University, Dezhou, Shandong 253023, China
  • Online:2014-11-01 Published:2014-10-28

逆P(ρ(σ),η(τ))-集合与其代数性质

张曰云   

  1. 德州学院 数学科学学院,山东 德州 253023

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