(α, β)-Soft Ideals of Weak-BCI-Algebras  

作　　者：Yu HUANG Zuhua LIAO 

机构地区：[1]Wuxi Taihu University, Jiangsu 214064, P. R. China [2]School of Science, Jiangnan University, Jiangsu 214122, P. R. China

出　　处：《Journal of Mathematical Research with Applications》2018年第6期577-585,共9页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.61170121);the Natural Science Foundation of Jiangsu Province(Grant No.BK20151117);the Natural Science Foundation of Wuxi Taihu University(Grant No.16WUNS006)

摘　　要：In this paper, we firstly introduce the concept of（α, β）-soft ideals of Weak-BCIalgebras after endowing a parameter set as a Weak-BCI-algebra. When U = [0, 1], α = U,β = ？, it becomes the hesitant fuzzy ideals of Weak-BCI-algebras. Then important properties of（α, β）-soft ideals of Weak-BCI-algebras are given. Finally, we investigate the properties of the homomorphism image and inverse image of（α, β）-soft ideals of Weak-BCI-algebras.In this paper, we firstly introduce the concept of（α, β）-soft ideals of Weak-BCIalgebras after endowing a parameter set as a Weak-BCI-algebra. When U = [0, 1], α = U,β = ？, it becomes the hesitant fuzzy ideals of Weak-BCI-algebras. Then important properties of（α, β）-soft ideals of Weak-BCI-algebras are given. Finally, we investigate the properties of the homomorphism image and inverse image of（α, β）-soft ideals of Weak-BCI-algebras.

关 键 词：soft set weak-BCI-algebra （α β）-soft ideal HOMOMORPHISM 

分 类 号：O159[理学—数学] TP391.41[理学—基础数学]