| 亚BCI-代数的$(\alpha,\beta)$-软理想 |
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| 引用本文： | 黄昱,廖祖华.亚BCI-代数的$(\alpha,\beta)$-软理想[J].数学研究及应用,2018,38(6):577-585. |
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| 作者姓名： | 黄昱 廖祖华 |
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| 作者单位： | 无锡太湖学院, 江苏 无锡 214064,江南大学理学院, 江苏 无锡 214122 |
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| 基金项目： | 国家自然科学基金 (Grant No.61170121), 江苏省自然科学基金(Grant No.BK20151117),无锡太湖学院基金(Grant No.16WUNS006). |
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| 摘 要： | 首先将软集的参数集赋予亚BCI-代数, 给出了亚BCI-代数的$(\alpha,\beta)$-软理想的概念.当$U=0,1], \alpha=U, \beta=\phi$时,相应地就得到了亚BCI-代数的犹豫模糊理想的概念.研究了亚BCI-代数的$(\alpha,\beta)$-软理想的一些重要性质.最后讨论了亚BCI-代数的$(\alpha,\beta)$-软理想的同态像和原像的性质.
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| 关 键 词： | 软集 亚BCI-代数 $(\alpha \beta)$-软理想 同态 |
| 收稿时间： | 2017/9/19 0:00:00 |
| 修稿时间： | 2018/8/12 0:00:00 |
$(\alpha,\beta)$-Soft Ideals of Weak-BCI-Algebras |
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| Yu HUANG and Zuhua LIAO.$(\alpha,\beta)$-Soft Ideals of Weak-BCI-Algebras[J].Journal of Mathematical Research with Applications,2018,38(6):577-585. |
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| Authors: | Yu HUANG and Zuhua LIAO |
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| Institution: | Wuxi Taihu University, Jiangsu 214064, P. R. China and School of Science, Jiangnan University, Jiangsu 214122, P. R. China |
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| Abstract: | In this paper, we firstly introduce the concept of $(\alpha,\beta)$-soft ideals of Weak-BCI-algebras after endowing a parameter set as a Weak-BCI-algebra. When $U=0,1]$, $\alpha=U$, $\beta=\emptyset$, it becomes the hesitant fuzzy ideals of Weak-BCI-algebras. Then important properties of $(\alpha,\beta)$-soft ideals of Weak-BCI-algebras are given. Finally, we investigate the properties of the homomorphism image and inverse image of $(\alpha,\beta)$-soft ideals of Weak-BCI-algebras. |
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| Keywords: | soft set weak-BCI-algebra $(\alpha \beta)$-soft ideal homomorphism |
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