Abstract:

With regard to the interaction between attributes which has influenced on decision results in multiple attribute decision making, a multiple attribute decision making method of interval grey number based on degree of greyness and Choquet integral is presented. Degree of greyness of interval grey number is proved as a grey measure according to its definition, then discrete Choquet integral of degree of greyness of interval grey number is defined, and some of its properties are investigated. The weight of each attribute or attribute set is determined by using a multiobjective optimization model，which variance of comprehensive attribute values of each scheme is minimum; and the effect evaluation vector of each scheme are integrated based on Choquet integral. Finally, an example is also presented to illustrate the effectiveness of the proposed method.