Analytic Hierarchy Process and Fuzzy Set Theory

Abstract

The analytic hierarchy process (AHP), introduced by Thomas Saaty (1980), recognized as a modern tool for dealing with complex decision-making may help the decision maker to set priorities to make the best decision. Although vast majority of applications of AHP use crisp data, it is quite possible that the data in many real applications are not crisp. Hence, imprecision may arise from a variety of reasons: unquantifiable information, incomplete information, unobtainable information, and partial ignorance. Conventional multiple attribute decision-making methods cannot effectively handle problems with such imprecise information. Hence, fuzzy AHP has been developed dealing with uncertain data an..