Approach for aggregating interval-valued intuitionistic fuzzy information and its application to reservoir operation

In this article, we concentrate on the interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on schemes and incomplete weight information. First some operational laws, score function and accuracy function of interval-valued intuitionistic fuzzy numbers are defined, and based on these, a method for ranking interval-valued intuitionistic fuzzy numbers is presented, then an optimization model based on the minimizing deviation method, by which the attribute weights can be determined, is established, so an approach for decision making with interval-valued intuitionistic fuzzy information is developed, finally these are applied to practical reservoir operation and the optimal scheme is obtained. This case study shows that the model and corresponding method are scientific and practical.