| $(\alpha,\beta)$-Soft Ideals of Weak-BCI-Algebras |
| Received:September 19, 2017 Revised:August 12, 2018 |
| Key Words:
soft set weak-BCI-algebra $(\alpha,\beta)$-soft ideal homomorphism
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.61170121), the Natural Science Foundation of Jiangsu Province (Grant No.BK20151117) and the Natural Science Foundation of Wuxi Taihu University (Grant No.16WUNS006). |
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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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.06.004 |
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