A Constrained Fuzzy Arithmetic Method for the Fuzzy Analytic Network Process

In this paper, we extend the analytic network process (ANP) by using fuzzy judgments to resolve the problem of uncertainty. Instead of providing crisp global weights, the proposed method, called the fuzzy analytic network process (FANP), provides both fuzzy local weights and fuzzy global weights. The method can help decision makers understand the uncertainty degree of a problem before making the final decision.