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 ...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.展开更多
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)
文摘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.
