Quantum-membership-function-based adaptive neural fuzzy inference system

Abstract

The well-known ANFIS (adaptive-network-based fuzzy inference system) has demonstrated good performance and applicability. This chapter presents a quantum version of ANFIS model, namely, qANFIS, whose network structure is similar to ANFIS but it is with quantum membership functions (qMF). A hybrid learning procedure is proposed to update the parameters. First, we develop a genetic algorithm with trimming operator to determine the number of quantum levels in qMF. Second, the least squares estimate method is applied to update the consequent parameters. Finally, we introduce two methods to update the qMF parameters, the gradient descent and the quantum-inspired particle swarm optimization methods, and one of them is selected for training purpose. The simulation results of path planning had demonstrated that the proposed method could reach satisfactory performance and smaller error measure as compared with ANFIS. © 2013 Springer Science+Business Media New York.