Fuzzy Multi-Criteria Decision Making

Abstract

When dealing with practical decision problems, we often have to take into consideration uncertainty in the problem data. It may arise from errors in measuring physical quantities, from errors caused by representing some data in a computer, from the fact that some data are approximate solutions of other problems or estimations by human experts, etc. In some of these situations, the fuzzy set approach may be applicable. In the context of multicriteria decision making, functions mapping the set of feasible alternatives into the unit interval [0, 1] of real numbers representing normalized utility functions can be interpreted as membership functions of fuzzy subsets of the underlying set of alternatives. However, functions with the range in [0, 1] arise in more contexts.