A method for fuzzy multi-attribute decision making with preference information in the form of fuzzy reciprocal judgement matrix

The fuzzy multi-attribute decision making (FMADM) problems are investigated, in which the information about attribute weights is known partly and the decision maker has preference information on alternatives in the form of fuzzy reciprocal judgement matrix. A method based on objective programming model for fuzzy multi-attribute decision making is proposed. The method first makes the decision information uniform based on fuzzy reciprocal judgement matrix by using a translation function and develops an objective programming model, and then determines the attribute weights by solving the model. The additive weighting method is used to obtain the fuzzy overall values of alternatives. By using the priority formula of triangular fuzzy numbers, the decision alternatives are then ranked. Finally, the method is applied to the project evaluation in the field of venture capital.