计算机工程与应用 ›› 2016, Vol. 52 ›› Issue (3): 66-69.

• 大数据与云计算 • 上一篇    下一篇

对偶软集和对偶软子坡代数

计艳飞,李生刚   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 出版日期:2016-02-01 发布日期:2016-02-03

Dual soft sets and dual soft subinclines

JI Yanfei, LI Shenggang   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China
  • Online:2016-02-01 Published:2016-02-03

摘要: 借助软集对偶的概念,补充了软集对偶所保持的两个重要性质,引入了软子坡代数对偶的定义,主要研究了坡代数上软理想、软滤子对偶的若干性质,给出了软坡代数对偶之间的同态、同构的定义,证明了若两个软坡代数同构,且它们的对偶软坡代数均存在,在一定的条件下,它们也是同构的。

关键词: 软集, 对偶, 软坡代数, 同构

Abstract: With the help of the dual of soft set, this paper adds two primary properties of the dual of soft set. The definition of the dual of soft inclines is introduced, and the properties of the dual of soft ideals and soft filters on incline-algebras are studied. The definitions of homomorphism and isomomorphism of the dual of soft inclines are introduced. It proves that the dual of soft inclines maintain the relationship of isomomorphism under some circumstences.

Key words: soft set, dual, soft incline, isomomorphism