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反软子坡

童娟 廖祖华 路腾 廖翠萃 朱晓英 吴树忠 吴修竹

吉林大学学报(理学版)2016,Vol.54Issue(2):215-221,7.
吉林大学学报(理学版)2016,Vol.54Issue(2):215-221,7.DOI:10.13413/j.cnki.jdxblxb.2016.02.11

反软子坡

Anti-soft Subinclines

童娟 1廖祖华 1路腾 2廖翠萃 1朱晓英 1吴树忠 2吴修竹1

作者信息

  • 1. 江南大学 理学院,江苏 无锡 214122
  • 2. 江南大学 智能系统与网络计算研究所,江苏 无锡 214122
  • 折叠

摘要

Abstract

We gave the new concept of anti-soft subinclines,and studied the relationship between anti-soft subinclines and the anti-dual of soft sets and got some equivalent characterizations.Then we discussed some properties of the two operations ‘restricted union ’ and ‘or ’ on it. Using the anti-extension principle,we obtained the properties of their anti-image and inverse image.Finally,we introduced the chain condition of H which consisted of all of the anti-soft subinclines and gave a necessary and sufficient condition for H was Artinian or Noetherian.

关键词

反软子坡/软集/反对偶/链条件

Key words

anti-soft subincline/soft set/anti-dual/chain condition

分类

数理科学

引用本文复制引用

童娟,廖祖华,路腾,廖翠萃,朱晓英,吴树忠,吴修竹..反软子坡[J].吉林大学学报(理学版),2016,54(2):215-221,7.

基金项目

国家自然科学基金(批准号:61170121 ()

11401259)和江苏省自然科学基金(批准号:BK2015117) (批准号:BK2015117)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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