Degree of dominance and congruence axioms for fuzzy choice functions

摘要

In this paper we introduce the degree of dominance of an alternative x with respect to an available fuzzy set of alternatives. Interpreting an available fuzzy set of alternatives as a criterion in decision making the degree of dominance establishes a hierarchy of alternatives with respect to this criterion. With the degree of dominance new congruence axioms for fuzzy choice functions are formulated.