A method based on grey incidence analysis and MYCIN uncertainty factor is proposed for decision-making
problems with the attribute values of corresponding alternatives in the form of intuitionistic fuzzy numbers. According to the
score function of intuitionistic fuzzy numbers, the MYCIN certainty factors of different alternatives in different indices are
obtained. And the trust degrees of different indices are determined by using the grey incidence analysis. Then, the certainty
factor fusion method in different indices is deduced to get the optimal alternative. It is proved that the fusion method satisfies
the commutative law and the associative law. And the best alternative is obtained by using the proposed method. The problem
of computational complexity and synthetic instability is solved while combining D-S theory and decision-making.