Rough sets induced by fuzzy ideals in BCK-Algebras

Moradian R.; Shoar S. Khosravi; Radfar A.

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Rough sets induced by fuzzy ideals in BCK-Algebras

机译：BCK-代数中的模糊理想所引起的粗糙集

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摘要

In this paper by considering of congruence relations induced by fuzzy ideals, we study rough sets in BCK-algebras. To this purpose we clarify a lower and upper approximations for any subset of X in this algebras. Finally, lower and upper rough ideals with respect to fuzzy ideal mu of X are discussed.

机译：在本文中，通过考虑由模糊理想引起的同余关系，我们研究了BCK代数中的粗糙集。为此，我们阐明了该代数中X的任何子集的上下近似。最后，讨论了关于X的模糊理想mu的上下粗略理想。

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《Journal of intelligent & fuzzy systems: Applications in Engineering and Technology》 |2016年第4期|共8页
作者
Moradian R.; Shoar S. Khosravi; Radfar A.;
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正文语种 eng
中图分类自动化系统;
关键词
Fuzzy ideal; lower and upper approximation; regular congruence relation; rough ideal; rough set;

机译：模糊理想;上下近似;正则同余关系;理想理想;粗糙集;

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1. Rough sets induced by fuzzy ideals in BCK-Algebras [J] . Moradian R., Shoar S. Khosravi, Radfar A. Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2016,第4期

机译：BCK-代数中的模糊理想所引起的粗糙集
2. Implicative Ideals of BCK-Algebras Based on the Fuzzy Sets and the Theory of Falling Shadows [J] . Young Bae Jun, Min Su Kang, Chul Hwan Park International journal of mathematics and mathematical sciences . 2010,第11期

机译：基于模糊集和落影理论的BCK代数的隐含理想
3. Rough sets based on fuzzy ideals in distributive lattices [J] . Yongwei Yang, Kuanyun Zhu, Xiaolong Xin Open Mathematics . 2020,第1期

机译：分配格中基于模糊理想的粗糙集
4. Some Fuzzy Topologies Induced by Rough Fuzzy Sets [C] . Wei-Zhi Wu, Yu-Fang Yang, You-Hong Xu Rough sets and knowledge technology . 2011

机译：粗糙模糊集引起的一些模糊拓扑
5. Fuzzy Rough Set Approximations in Large Scale Information Systems. [D] . Asfoor, Hasan. 2015

机译：大规模信息系统中的模糊粗糙集近似。
6. An Algorithm to Select the Optimal Program Based on Rough Sets and Fuzzy Soft Sets [O] . Liu Wenjun, Li Qingguo -1

机译：基于粗糙集和模糊软集的最优程序选择算法
7. FUZZY SET THEORY APPLIED TO IMPLICATIVE IDEALS IN BCK-ALGEBRAS [O] . Young-Bae Jun, Seok-Zun Song 2006

机译：基于BCK代数的模糊集理论应用于暗示理想
8. Measuring uncertainty by extracting fuzzy rules using rough sets and extracting fuzzy rules under uncertainty and measuring definability using rough sets [R] . Worm, Jeffrey A., Culas, Donald E. 1991

机译：通过粗糙集提取模糊规则并在不确定条件下提取模糊规则并使用粗糙集测量可定义性来测量不确定性

Rough sets induced by fuzzy ideals in BCK-Algebras

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