Projection method of fuzzy multi-attribute decision-making based on the maximal deviation model
Sanyang Liu · Systems engineering and electronics · 2007
With regard to the fuzzy multi-attribute decision making(FMADM) problems,in which the information about attribute weights are unknown completely and the attribute values are in the form triangular fuzzy numbers,a method based on the linear programming model and projection of fuzzy numbers vectors is proposed.Some concepts such as the distance between two triangular fuzzy numbers,the projection of triangular fuzzy numbers vectors,etc,are given.Two normalized formula of attribute values are also presented.A linear programming model based on the maximal deviation of weighted attribute values is established,and then the attribute weights are obtained by solving the model.Furthermore,the alternatives are ranked by using the projection of the weighted attribute values of every alternative on the fuzzy positive ideal point of alternatives.The method not only avoids comparing for fuzzy numbers,but also has the advantages of simple operation and easy calculation.A numerical example is illustrated to show the feasibility and effectivity of the developed model and method.