## 4 Results and Discussion
### Approval Scale Comparisons  
To compare our results with the synthetic evaluations by using an approval scale produced by the review-collecting providers, we produced a thematic map of the relevance of pleasant emotion categories, partitioning the closed interval [0, 1] in nine thematic classes of equal breadth. We created a thematic map of the relevance of pleasant emotional categories, partitioning the closed interval [0, 1] into nine thematic classes of equal breadth in order to compare our findings with the synthetic assessments by using approval scale produced by the review-collecting providers. We call this map the _pleasant ranking map_. This partitioning into nine classes is due to the fact that the rating assigned to the element by the providers is a value between 1 to 5 with a minimum sensitivity of 0.5. Each user, when entering the review, assigns a rating given by an integer from 1 to 5; the element is assigned an overall score equal to the average value of the scores assigned by all users with a minimum sensitivity of 0.5. The nine thematic classes are displayed in Table 3. Each class has a breadth of 0.111111. Figure 7: Pleasant/unpleasant emotions thematic map. The map with the relevance of pleasant emotion categories is shown in Figure 8.  
The preponderance of theaters (52%) falls into the less than 3 points classification with a total of 24 theaters while the remaining 48% (22 theaters) belong to the classes of 3 points or more. However, the number of theaters belonging to the 5-point class (9 theaters) is higher than those classified with 1 point (5 theaters). The high concentration of theaters rated at 5 points resides mainly among the southern area of Naples, while a prevalence of theaters rated below 2.5 is present in the central-western area. To compare our class rating with the rating assigned to the theaters by the providers, we measured the absolute difference between the class rating and the one assigned by the providers (scale difference). Figure 9 shows the trend of the scale difference with respect to the pleasant emotional category's relevance. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Class** & **Infimum** & **Supremum** \\ \hline
1 & 0 & 0.111111 \\
1.5 & 0.111111 & 0.222222 \\
2 & 0.222222 & 0.333333 \\
2.5 & 0.333333 & 0.444444 \\
3 & 0.444444 & 0.555556 \\
3.5 & 0.555556 & 0.666667 \\
4 & 0.6666667 & 0.777778 \\
4.5 & 0.777778 & 0.888889 \\
5 & 0.888889 & 1 \\ \hline \hline \end{tabular} Each theater is assigned to the class in which the value of pleasant emotion relevance attributed to it falls.  
\end{table} 
Table 3: Thematic classes used for creating the pleasant/unpleasant emotions thematic map. Figure 8: Pleasant ranking map. The plotting graph in Figure 9 shows that on average, the difference between the two ratings increase, decreasing the pleasant emotions' relevance. For a relevance of less than 0.4, the average difference in the absolute value between the two scores is between 2 and 2.5. Conversely, for a significance value greater than 0.4, this difference is between 0.5 and 1. This result shows that, probably, the subjective assignment of the score made by the user overestimates their actual evaluation inserted in the posted comment. This is in line with the result provided in [16] in which the frequencies of scores on a scale of 1 to 5 assigned on the TripAdvisor web platform by customers to hotels and restaurants located in the city of New York (USA) were calculated. The customer, after entering their comment, can decide to assign a score. This result shows that the frequency of assignments made increases as the score increases, pointing out that the customer tends to enter a higher overall score than the one detectable from their review.