Multiple attribute decision making with intuitionistic fuzzy information and uncertain attribute weights using minimization of regret

In regard to the multiple attribute decision making problems with the information about attribute weights incompletely known under the intuitionistic fuzzy environment, the score function and accuracy function are introduced. The decision making matrix with the attribute value expressed by form of intuitionistic fuzzy number is transformed into the score matrix of the alternatives. Then according to the concept of regret, regret matrix of the alternatives is obtained. And an optimization model based on the principle of minimization of regret, by which the attribute weights can be derived, is established. The alternatives can be ranked, and the most desirable one can be selected according to the score function and accuracy function. Finally, an illustrative example is given to verify the briefness and effectiveness of the proposed approach.