We introduce and investigate the coordinated log- $h$-convexity for interval-valued functions. Also, we prove some new Jensen type inequalities and Hermite-Hadamard type inequalities, which generalize some known results in the literature. Moreover, some examples are given to illustrate our results.

This paper proposes a new method based on fuzzy n-cell numbers to solve the multi-criteria two-sided matching problem. Firstly, the maximum deviation method is used to calculate the criterion weights for each matching object. Secondly, fuzzy n-cell numbers are constructed based on the mean values and left/right dispersion degrees of the data, followed by the computation of score functions. A matching model aimed at maximizing the satisfaction of both objects is established, and the optimal matching decision scheme is obtained by solving this model. Finally, the feasibility of the proposed method is demonstrated through an example of two-way selection between enterprises and job seekers.