$(\alpha,\beta)$-Soft Ideals of Weak-BCI-Algebras
Received:September 19, 2017  Revised:August 12, 2018
Key Word: soft set   weak-BCI-algebra   $(\alpha,\beta)$-soft ideal   homomorphism  
Fund ProjectL: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).
Author NameAffiliation
Yu HUANG Wuxi Taihu University, Jiangsu 214064, P. R. China 
Zuhua LIAO School of Science, Jiangnan University, Jiangsu 214122, P. R. China 
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      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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