| 粗糙集理论在伪BCK代数上的应用 |
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| 引用本文： | 毛小燕,周晖杰.粗糙集理论在伪BCK代数上的应用[J].数学研究及应用,2016,36(1):23-35. |
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| 作者姓名： | 毛小燕 周晖杰 |
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| 作者单位： | 宁波大学科学技术学院, 浙江 宁波 315212;宁波大学科学技术学院, 浙江 宁波 315212 |
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| 基金项目： | 宁波市自然科学基金(Grant No.2013A610100), “十二五”浙江省高校重点学科-计算机应用技术资助计划(Grant No.20121114), 宁波大学科研(理)项目(Grant No.XYL13004). |
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| 摘 要： | 本文把粗糙集理论应用到伪BCK代数, 作为伪BCK代数的推广, 给出了类代数近似空间上粗伪BCK代数、粗子代数和粗伪滤子的概念, 并讨论了它们的一些相关性质. 进一步研究了伪BCK 代数近似空间上粗子代数和粗伪滤子. 最后给出了几个伪BCK代数、伪滤子和子代数的验证程序.
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| 关 键 词： | 下近似与上近似 伪BCK代数 伪滤子 粗集 |
| 收稿时间： | 2014/12/3 0:00:00 |
| 修稿时间： | 2015/4/27 0:00:00 |
The Application of Rough Set Theory in Pseudo-BCK-Algebra |
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| Xiaoyan MAO and Huijie ZHOU.The Application of Rough Set Theory in Pseudo-BCK-Algebra[J].Journal of Mathematical Research with Applications,2016,36(1):23-35. |
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| Authors: | Xiaoyan MAO and Huijie ZHOU |
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| Institution: | College of Science and Technology, Ningbo University, Zhejiang 315212, P. R. China;College of Science and Technology, Ningbo University, Zhejiang 315212, P. R. China |
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| Abstract: | In this paper, we apply the rough set theory to pseudo-BCK-algebras. As a generalization of pseudo-BCK-algebras, the notions of rough pseudo-BCK-algebras, rough subalgebras and rough pseudo-filters are introduced and some of their properties are discussed in an algebra-like approximation space. Furthermore, we investigate rough subalgebras and rough pseudo-filters in a pseudo-BCK-algebra approximation space. Finally, we give several verification programs of pseudo-BCK-algebras, pseudo-filters and subalgebra. |
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| Keywords: | lower and upper approximation pseudo-BCK-algebra pseudo-filter rough set subalgebra |
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