Traffic equilibrium assignment based on interval-valued fuzzy trip costs

Abstract

In this paper, we present a new equilibrium assignment model for traffic network whose trip costs are described as interval-valued fuzzy numbers. The new equilibrium principle is defined based on ranking fuzzy numbers and equilibrium condition is formulated as a variational inequality. The membership function of the interval-valued fuzzy number is constructed by the statistic interval estimation. A numerical example can be interpreted the proposed model obtains more realistic results than the UE.