Choice Functions Associated with Fuzzy Preference Relations

In this paper we consider generalized choice functions (g.c.f.) in which the choice set C(A, R) is a fuzzy set depending on a crisp set A and a fuzzy relation R. We define generalized fuzzy sets of C-maximal and C-nondominated elements and prove relations between them. We also relate the procedure of Blin (1974) with some special g.c.f. B=B(A, R).