Interval multiple attribute decision making based on interval-valued intuitionistic fuzzy set

For the decision matrix given in the form of interval, the result can not reflect how many the affirmative component and denial component because the evaluation result of alternative attribute is only presented by interval. This paper presents the concept of supporting set, opposing set, and supporting interval, opposing interval with the help of golden section and the idea of interval intuitionistic fuzzy set, and then the evaluation information of alternative as to attribute is aggregated into intuitionistic fuzzy evaluation information. Interval intuitionistic fuzzy evaluation reflects three information of alternative, i.e. affirmative interval, denial interval and neutral interval. Then we gain the order relation of intuitionistic fuzzy evaluation information utilizing the score function and accuracy function, and obtain further the alternatives' order relation.