Stability Analysis of Ranking Alternatives Based on Subjective and Objective Weight

Weights of criteria are used to assess the relative importance of the different criteria in multicriteria analysis, which can influence ranking result more or less depending on the multicriteria decision-making method used. In this paper, the influences of alternatives′ ranking result associated with the change of weight are discussed by making use of the concept of weight stability intervals based on subjective and objective integrated weighting approach. Meamwhile, A model of weight proportion stability intervals is proposed. a numeral example is used to illuminate how many increment of objective weight can change the ranking results determined by subjective weight.