Algorithm for Weighted Hasse Diagram and Its Application

Hasse diagram is a very popular method for multi-criteria evaluation and decision making, but now we just use no-weighted Hasse diagram for each attribute. This paper concerns how to get the weighted Hasse diagram. Firstly, assessment cumulated matrix based on the weights of each attribute is proposed, then the weighted Hasse diagram can be drawn, and Bubley Dyer algorithm ，which is a Monte Carlo Markov chain procedure ，can be used to calculate the rank of the element in the matrix.