Approach for multiple attribute decision-making with interval grey number based on Choquet integral

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 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 degree of greyness of interval grey number and considering expert opinion, and the effect evaluation vector of each scheme are integrated based on Choquet integral. Finally, an example on Ning meng of the Yellow River disasterwas also presented to illustrate the usefulness and effectiveness of the proposed method.