an:01607429
Zbl 0971.06018
Hong, Sung Min; Jun, Young Bae; Kim, Seon Jeong; Kim, Gwang Il
Fuzzy BCI-subalgebras with interval-valued membership functions
EN
Int. J. Math. Math. Sci. 25, No. 2, 135-143 (2001).
00073835
2001
j
06F35 03E72
interval-valued fuzzy BCI-subalgebra; BCI-algebra
Summary: 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 construct a new i-v fuzzy BCI-subalgebra from an old one is given. The images and inverse images of i-v fuzzy BCI-subalgebras are defined, and it is studied how the images or inverse images of i-v fuzzy BCI-subalgebras become i-v fuzzy BCI-subalgebras.