Acyclic rationality indicators of fuzzy choice functions

摘要

We introduce the degree of acyclicity of a fuzzy preference relation and two acyclic rationality indicators of a fuzzy choice function C. These two indicators measure the degree to which the choice function C is acyclic G-rational, respectively, acyclic M-rational. We study the fuzzy Condorcet property of a fuzzy choice function and the corresponding indicators. We express the indicator of G-rationality in terms of the Condorcet property and the indicator of α-consistency.