An Algorithm for Generating Consistent and Transitive Approximations of Reciprocal Preference Relations

摘要

We establish an iterative algorithm to generate for any given reciprocal relation and any given type of transitivity fitting into the framework of cycle-transitivity, a unique reciprocal relation that approximates the given reciprocal relation and possesses the given transitivity property. In the context of decision making, the algorithm can be used to generate a consistent approximation of a non-consistent reciprocal preference relation.