Abstract: Aiming at the multi-attribute decision making problem with unknown attribute weight under interval intuitionistic fuzzy information environment, a new decision making method is proposed. On the basis of reviewing relevant basic theoretical knowledge, the scoring function and precision function of interval intuitionistic fuzzy number are defined, and the method of determining attribute weight based on maximizing deviation is proposed. Then, a multi-attribute decision making method with interval intuitionistic fuzzy information based on the interval intuitionistic fuzzy weighted averaging operator is proposed. Finally, the method is applied to the evaluation of the effectiveness of emergency plans and its effectiveness is illustrated by a numerical example.

Key words: interval-valued intuitionistic fuzzy sets, attribute weight, score function, multiple attribute decision-making