On fuzzy ideals in Hilbert algebras


Wiesław A. Dudek, Young Bae Jun




The fuzzification of ideals introduced by I. Chajda and R. Halas is presented. We show that any such ideal can be realized as a level of some fuzzy set and discuss the relation between fuzzy ideals and fuzzy deductive systems. The Cartesian product of fuzzy ideals is also considered.