Fuzzy BCI-subalgebras with interval-valued membership functions

Sung Min Hong, Young Bae Jun, Seon Jeong Kim, Gwang Il Kim
2001 International Journal of Mathematics and Mathematical Sciences  
The purpose of this paper is to define the notion of an interval-valued fuzzy BCI-subalgebra (briefly, an i-v fuzzy BCI-subalgebra) of a BCI-algebra. Necessary and sufficient conditions for an i-v fuzzy set to be an i-v fuzzy BCI-subalgebra are stated. A way to make a new i-v fuzzy BCI-subalgebra from old one is given. The images and inverse images of i-v fuzzy BCI-subalgebras are defined, and how the images or inverse images of i-v fuzzy BCI-subalgebras become i-v fuzzy BCI-subalgebras is studied.
doi:10.1155/s0161171201005087 fatcat:raczhlrcw5huxb5wu3unnjegky