The hierarchy-relational majorized model of multiple attribute decision making without information

Based on quantitative type analytic hierarchy process (AHP) that combines with grey relational grade analysis, we built up a hierarchy-relational synthetic majorized model for multiple attribute decision problem that without information and it is difficult to determine the weight of indexes. We evade pessimistic principle, optimistic principle and eclectic principle these simple methods that we used before. We avoid the subjective method that determines the weight of indexes and pledge the decision result unified with AHP and relational analysis. Thus we provide a reasonable and reliable decision method for this kind of decision problems.