Method for interval multiple attribute decision-making problem with incomplete attribute weights

With respect to the problem of multiple attribute decision-making with incomplete information on attribute weights to which the attribute values are given in terms of interval numbers, a modified TOPSIS (technique for order preference by similarity to ideal solution) analysis is proposed. Describing briefly the problem discussed, the conventional TOPSIS is based on to give the calculation steps to solve it. As the key step, a quadratic programming model is developed to determine the deviation values between every alternative and positive ideal point or negative ideal point. Then, according to the deviations, the relative accessibility to the ideal point is calculated for each and every planning to rank all alternatives. A numerical example is given to illustrate how to use the proposed method.