*4.4. Integrated Weight Calculation*

In this study, based totally on the reliability and availability of the data, we used two strategies (subjective and goal weight replication) to resynthesize and assign the weights of the influencing factors affecting the use of health apps by adults. We continuously revised the influencing elements. The results indicated a large difference in the weighting of the indicators using the two methods, especially in the process of determining the weighted values of indicators H11 and H3. This difference was due to the difference between the weights calculated by the mathematical model and our understanding of the application of the indicators in practice, which led to the difference in the weight coefficients. Our finding also further confirmed the necessity of studying the assignment of subjective and objective integrated weights.

Based on the results of assigning weights to the indicators by the above two methods, we calculated the combined weight *C<sup>j</sup>* :

$$\mathbf{C}\_{j} = \frac{w\_{i}w\_{j}}{\sum\_{i=1}^{n} w\_{i}w\_{j}} \tag{16}$$

where *w<sup>i</sup>* and *w<sup>j</sup>* represent the weights of the evaluation indexes calculated by the hierarchical analysis and entropy value method, respectively. We synthesized and calculated the results of both the subjective and objective assignments (Tables 14 and 15).


**Table 14.** Comprehensive weight results (criterion layer) obtained using two weighting methods.

**Table 15.** Comprehensive weight results (scheme layer) obtained by two weighting methods.



**Table 15.** *Cont.*
