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
In this paper, we use the notion of fuzzy point to study ideal and positive implicative ideal in BCK algebras, then we clarify the links between the fuzzy point approach, the classical fuzzy approach and the ordinary ...In this paper, we use the notion of fuzzy point to study ideal and positive implicative ideal in BCK algebras, then we clarify the links between the fuzzy point approach, the classical fuzzy approach and the ordinary case.展开更多
This paper aims to introduce new notions of (fuzzy) n-fold P-ideals and (fuzzy) n-fold weak P-ideals in BCI-algebras, and investigate several properties of the foldness theory of P-ideals in BCI-algebras. Finally, we ...This paper aims to introduce new notions of (fuzzy) n-fold P-ideals and (fuzzy) n-fold weak P-ideals in BCI-algebras, and investigate several properties of the foldness theory of P-ideals in BCI-algebras. Finally, we construct a computer-program for studying the foldness theory of P-ideals in 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.
文摘In this paper, we use the notion of fuzzy point to study ideal and positive implicative ideal in BCK algebras, then we clarify the links between the fuzzy point approach, the classical fuzzy approach and the ordinary case.
文摘This paper aims to introduce new notions of (fuzzy) n-fold P-ideals and (fuzzy) n-fold weak P-ideals in BCI-algebras, and investigate several properties of the foldness theory of P-ideals in BCI-algebras. Finally, we construct a computer-program for studying the foldness theory of P-ideals in BCI-algebras.
