## 3 Materials and Methods
### Expert Model for Assessing the Mental Health of the Flight Instructor--\(M_{mh}\)  
To assess the mental health of a flight instructor, an open set of criteria is proposed, enabling the investigation of different aspects of mental health. According to the evaluation criteria, the flight instructor is surveyed on the following questions before each flight. The answers to these questions are represented as score values \(o_{1},o_{2},\ldots,o_{m}\) for the evaluation criteria \(K_{1}\), \(K_{2}\), \(\ldots\), \(K_{m}\). A ten-point scale is proposed, where 1 represents \"minimal load\" and 10 represents \"maximum load\". The scoring scale characterizes the level of mental health of the flight instructor. In the current study, the evaluation was conducted by a single expert through a structured questionnaire, through which the flight instructor self-assessed their condition based on the defined criteria. The expert then assigned scores for each criterion according to the instructor's responses. This assessment was not blind, as it relied on direct interaction between the expert and the instructor. Since the applied fuzzy logic model is tolerant to subjectivity and designed to handle uncertainty in human judgments, it does not require a group of experts or strict inter-rater consistency. Nevertheless, the use of a formalized questionnaire and unified scoring scale helps maintain a sufficient level of internal consistency in the evaluations. Based on the set-theoretic generalization, the following criteria for evaluating the mental health of a flight instructor are proposed:  
* \(K_{1}\) refers to the complexity and intensity of the training program. Difficult and intensive training courses can significantly increase stress and workload for the flight instructor. This, in turn, can affect their overall psychophysiological state, reducing productivity and increasing the risk of mistakes during training. In such conditions, the instructor may find it harder to maintain high concentration and effectively control the situation, which could negatively impact the quality of student training;
* \(K_{2}\) represents the instructor's experience and qualifications. Less experienced instructors may experience more stress due to the need to constantly monitor both their own actions and the actions of students;
* \(K_{3}\) is the duration of the workday. Long working shifts without adequate rest can lead to accumulation of fatigue and stress, negatively affecting the flight instructor's concentration and response time. These conditions can reduce the instructor's ability to react quickly and appropriately to unforeseen situations during flight. Additionally, chronic fatigue increases the risk of mistakes, which may jeopardize the safety of both the instructor and the students. A lack of rest also increases the risk of cardiovascular diseases, depression, and other health issues;
* \(K_{4}\) refers to the technical condition of the aircraft. The constant need to monitor the technical condition of the aircraft and respond quickly to potential malfunctions increases the workload;
* \(K_{5}\) reflects the weather conditions. Adverse weather conditions can increase stress levels due to increased risks during training flights. This may require the flight instructor to concentrate more and make decisions more quickly, further stressing their psychophysiological state. Unpredictable weather changes, such as strong winds, rain, or fog, make maneuvering and navigation more difficult, increasing the risk of emergency situations. Such conditions require a high level of professionalism and experience, but even experienced instructors can experience significant stress when working in extreme conditions;
* \(K_{6}\) includes social and family factors. Personal problems or conflicts outside of work can also impact the level of psychophysiological stress. Constant thoughts about personal issues can distract the instructor during flights, increasing the risk of mistakes and emergency situations;* \(K_{7}\) is the atmosphere within the team.