In recent years, bilateral matching decision-making has become one of the hot issues in the field of economic management. In this paper, a new two-sided matching decision-making method for interval dual hesitation fuzzy information is proposed. Firstly, the score function of interval dual hesitation fuzzy number is defined, and the interval dual hesitation fuzzy matrix is transformed into a closeness degree matrix by using projection technique. Then, taking the maximization of the two sides undefined proximity degree and the minimization of the difference between the two sides undefined proximity degree as the goal, considering the constraints of the bilateral fair matching, a two-sided fair matching model based on the closeness degree is constructed. The ``optimal" two-sided fair matching is obtained by solving the model. Finally, taking the bilaterally fair matching problem between the production enterprise and the third party logistics company in logistics operation as an example, the effectiveness and practicability of the bilateral fair matching method based on interval dual hesitation fuzzy information bi-directional projection technology are illustrated.