Abstract:

An approach based on fuzzy preference relationship is proposed to solve the multiattribute decision making problem whose attributes weights are known, and attributes values include real number, interval number and fuzzy number. The approach uses a hybrid evaluation value model to describe the hybrid multiattribute decision making problem. A hybrid fuzzy preference relation model is established after pretreatment, which transforms the decision problem into an evaluation relation model; then the fuzzy preference relation is aggregated to a complete order relation, and the preference orders of all objects are obtained. The validity of the method is verified by an example. The calculation process shows that the approach can avoid the problem that it is hard to define rational distance functions in technique for order preference by similarity to ideal solution (TOPSIS).