Interval valued(∈,∈vq) -fuzzy sub-algebras of BCK algebras
Chunhui Liu · Computer Engineering and Applications Journal · 2012
It applies the concept of interval valued fuzzy sets which is introduced by Zadeh to BCK algebras,introduces the notion of interval valued(∈,∈vq) fuzzy sub-algebras of BCK algebras and discusses their properties. The sufficient and necessary condition for interval valued fuzzy set to an interval valued(∈,∈vq) fuzzy sub-algebras is given. The relations between interval valued(∈,∈vq) fuzzy sub-algebras and sub-algebras,(∈,∈vq) fuzzy sub-algebras of BCK algebras are discussed. The images and inverse images of interval valued fuzzy sets are defined,and the conditions for the images and inverse images of interval valued(∈,∈vq) fuzzy sub-algebras to be interval valued(∈,∈vq) fuzzy sub-algebras are obtained.