Fuzzy Theory Concept Applied in Analytic Network Process

The Analytic Network Process (ANP) is a multi-criteria decision making (MCDM) theory of measurement used to derive relative priority scales of absolute numbers from individual judgments (or from actual measurements normalized to a relative form) that also belong to a fundamental scale of absolute numbers. These judgments represent the relative influence, of one of two elements over the other in a pairwise comparison process on a third element in the system, with respect to an underlying control criterion. Through its supermatrix, whose entries are themselves matrices of column priorities, the ANP synthesizes the outcome of dependence and feedback within and between clusters of elements. There can be many situations where the decision makers cannot provide exact numerical value or the information is not complete. We can apply Fuzzy theory in such situation. In this paper we will integrate Fuzzy theory and ANP which can provides efficient result even in uncertain conditions.