| 反软子坡 |
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| 引用本文： | 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. |
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| 作者姓名： | 童娟 廖祖华 路腾 廖翠萃 朱晓英 吴树忠 吴修竹 |
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| 作者单位： | 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 |
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| 摘 要： | 给出反软子坡的概念,并研究反软子坡和反对偶软集之间的关系,得到了一些等价刻画;讨论反软子坡的限制并和或的运算性质,并利用反扩张原理获得了反软子坡的反像与原像的相关性质;通过在全体反软子坡组成的集合H上引入链式条件给出了H是阿丁的或诺特的充要条件.
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| 关 键 词： | 反软子坡 软集 反对偶 链条件 |
| 收稿时间： | 2015-06-11 |
Anti soft Subinclines |
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| TONG Juan,LIAO Zuhua,LU Teng,LIAO Cuicui,ZHU Xiaoying,WU Shuzhong,WU Xiuzhu.Anti soft Subinclines[J].Journal of Jilin University: Sci Ed,2016,54(2):215-221. |
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| Authors: | TONG Juan LIAO Zuhua LU Teng LIAO Cuicui ZHU Xiaoying WU Shuzhong WU Xiuzhu |
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| Institution: | 1. School of Science, Jiangnan University, Wuxi 214122, Jiangsu Province, China;2. Institute of Intelligence System & Network Computing, Jiangnan University, Wuxi 214122, Jiangsu Province, China |
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| 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 ofall of the anti soft subinclines and gave a necessary and sufficient conditionfor H was Artinian or Noetherian. |
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| Keywords: | anti soft subincline soft set anti dual chain condition |
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