Multiplicative determination of priority weights in a fuzzy analytic hierarchy process

Many application fields need evaluation tools and ranking techniques of several alternatives. The multi-criteria decision-making approach, known as the analytic hierarchy process, has yet been extended by a variant based on fuzzy logic, which is useful when dealing with uncertain judgements. This paper describes an important alternative method to determine the fuzzy priority weights of pairwise comparison matrices based on logarithmic calculus as a natural companion of the geometric mean. A significant advantage of our approach is the linear character of the resulting mathematical problem. The linearity allows the use of well-known linear programming techniques. The functioning of the method is illustrated by a numerical example which exposes the consistent way of priority weight determination