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The second half of the 20th century saw the emergence of fuzzy theory. The foundations of fuzzy theory were created by Professor Zadeh in 1965, and since then, it has been applied in many different fields. The foundations of fuzzy set theory are infinite-valued logic and the "foggy" or "uncertain" limits of its sets. “Fuzzy theory has its historical roots in the second half of the 20th century. Professor Zadeh established its basics in 1965 and since then fuzzy theory has been applied in a variety of fields. Fuzzy set theory is based on the ‘foggy’ or ‘uncertain’ boundaries of its sets and on infinite-valued logic” (Hubáček, 2015). Another key advantage of fuzzy logic is its ability to manage both qualitative and quantitative variables is also a key feature of its application “A further significant advantage of fuzzy logic is that it can handle both the qualitative and quantitative factors, which is also an important aspect of its usage” (Laufer, 2016). Apply engineering concepts to subject of exercise-science necessitates a methodical approach to the discipline's "basic principles" and "decision making process." It is possible to design a proper and systematic process engineering method based to information of exercise science using fuzzy-logic. “Applying engineering principles to the field of exercise science, requires a systematic perspective to "fundamental principles" and "decision making process" in this field. Using fuzzy logic, derive a systematic process engineering approach, which is based on knowledge of exercise science, can be achieved” (Arshi,2014). Measurements of physical prowess and technical proficiency were used to determine the weighting of the chosen criteria.“Measurements of physical fitness and technical skills were used to determine the weighting of the chosen criteria. Then the measured values were converted into fuzzy values using fuzzy sets. Finally, a ranking of players was generated and compared with the opinions of sports experts, which confirmed the reliability of the model” (Sałabun, 2020). Over the past ten years, fuzzy-logic has shown to be a fantastic technique for intelligent systems in physical and physiological training. “In the past decade, fuzzy logic has proved to be wonderful tool for intelligent systems in physical training” (Zeng, 2022). Fuzzy comprehensive evaluation of college students' physical fitness is also useful for reasonable grouping and targeted training in physical education class, and has a good reference value for teaching, as well as being meaningful and popularized for scientific evaluation of students' physical fitness. “Fuzzy comprehensive evaluation of college students’ physical fitness is also helpful for reasonable grouping and targeted training in physical education class, which has a good reference value for teaching, and is meaningful and popularized for scientific evaluation of students’ physical fitness” (Zhenwen, 2021). The application of fuzzy logic added a new level of resilience and flexibility to the system. “The implementation of fuzzy logic introduced a new quality to the system regarding robustness and flexibility” (Papic, 2009). It develops a seven-dimensional framework for analysing the industry's efficacy for sports and society based on prior studies. It uses a fuzzy analytic algorithm to accomplish this. “Model for evaluating the competitiveness of the sports and cultural industries that are based on a fuzzy analysis algorithm, and it builds a seven-dimensional sports and cultural industry competitiveness evaluation index system that is based on previous research” (Sun, 2022). The second goals scored by the club team and the football team, respectively (see Attachment A), are manufactured using technology that supports the frameworks we'll use in terms of economics. Instead, in order to evaluate the performance of 20 virtual sports teams, we will utilise fuzzy logic to solve the DEA fuzzy models. “The economic-theoretical support of those models that we will use is the production technology of results pursuit to the soccer team in the soccer pitch (see Appendix A) and a second of the objectives for the football clubs. Instead, to measure sports performance, we will solve the DEA fuzzy models for a sample of 20 virtual soccer teams using fuzzy logic” (Pinto, 2020). Fuzzy mathematics may be used to develop a fuzzy comprehensive assessment model, or this method can be used to thoroughly examine the sports tourist industry in Guangxi Province. “Use the method of fuzzy mathematics to construct a fuzzy comprehensive evaluation model and apply this model to objectively evaluate the sports tourism resources in Guangxi Province” (Qianying Li, 2022). A methodological foundation for the development and preservation of sports tourism goods may be found in the multilevel fuzzy comprehensive assessment of sports mass tourism, which may identify the low and high features of sports major tourist value. “Through multilevel fuzzy comprehensive evaluation of sports tourism resources, the high and low merits of sports tourism resources value can be discerned, providing a scientific basis for the development and protection of sports tourism resources” (Qianying Li, 2022).

The Artificial Intelligence Tool has undergone several improvements and is now employing new ways to provide better outcomes. This section provides a comparative study of several existing research that quickly highlight some of the fuzzy logic, rule-based, and artificial neural network in sports and games.

Vladan Papic, Nenad Rogulj, and Vladimir Plestina, 2019 explored a fuzzy expert system for discovering and assessing new athletic talents Based on the expertise of multiple human sport specialists and their suitability for a predefined range of sports, several motoric skills tests, morphometric feature assessments, and component testing are quantified. The values gathered, as well as the grades for the quantifiable outcomes of each exam, are recorded into the data base. Fuzzy logic is used to improve the system's flexibility and durability. Because the entire system is web-based, anyone with a valid login and password can access the created ASP.NET application. The expert system predicted acceptance and recommended the best sports for the individual being examined. Using genuine data collected over several years, four professionals analysed the system's output results.

J. A. Martínez, Y. J. Ko, and L. Martínez, 2010 proposed a novel sport management approach, fuzzy, for calculating quality in the context of fitness and sports services. This study demonstrated that fuzzy set theory is an intriguing way for increasing the value of customer assessment data. The developed approach reduces categorization and connection bias caused by the link between numerical and verbal labels, so addressing the drawbacks of third-person research. The benefits of this strategy are demonstrated through an empirical analysis of two samples of users from two fitness centres.

J. Jon Arockiaraj, and E. Barathi, 2014 presented Using fuzzy logic, deduce the link between a sportsman's fear and motivation. Sports include both physiological and social components. The athlete is seen to be tense, worried, fearful, and stressed when competing in an event. Both physiological and psychological elements have a significant impact on the quality of the player's performance. Fuzzy logic can be utilised to find a solution that will increase their motivation and reduce their worry.

Mohammad Ebrahim Razaghi, 2014 Using fuzzy logic theory, researchers evaluated the application of knowledge management from the viewpoint of employees in Kerman (Iran) province's offices of youth and sport. The "research Method" aims to investigate a statistical population of a great number of people through a census and is descriptive and applied in nature. The questionnaire by Chung et al. is titled "Data Measurement Tool," but the word "outcome" suggests that knowledge management implementation is subpar in the offices in question and that there is a sizable gap between the actual and intended state of the factors influencing knowledge management implementation.

Ondrej Hubacek, Jiri Zhanel, and Michal Polach, 2015 investigated how fuzzy set theory may be used to evaluate tennis athletes' outcomes using the TENDIAG1 test battery and to compare tennis athletes' abilities using the fuzzy technique and the probabilistic approach A detailed examination of the findings revealed that the fuzzy assessment considerably separates tennis players' outcomes. The fuzzy evaluation provides a better and more exact assessment of the overall rate, especially for persons who received an identical score on the exam.

E. T.-Laufer, 2016 developed a paradigm for risk assessment using fuzzy logic that may be tailored to specific needs dependent on the conditions. The use and applicability of this flexible fuzzy logic-based assessment model were demonstrated through the investigation of a case study that assesses the amount of risk associated with diverse sporting activities using physiological data as the input parameters.

Bounit, 2016 proposed the evaluation of hygiene, safety, and environmental risks is turning into a significant concern for businesses in the field of security. It serves as a prerequisite for defining the approach that will be used. The evaluation of risks' acceptability is hampered by the ambiguity, uncertainty of the input parameters, disagreements among decision-makers, and the absence of integrated models of overall hygienic, safe, and environmental risk assessment. A comparison reveals that the suggested model provides the best, most accurate, and exact outcomes when compared to those of traditional approaches.

Mostafa, 2018, studied in various systems, including ambient assisted-living systems, autonomous agents are frequently utilized to carry out activities in place of people. Autonomous agents frequently make choices in these settings that result in bad results. Paper provides a fuzzy-logic-based adjustable autonomy (FLAA) model in this study to control the autonomy of multi-agent systems working in complicated contexts. This paradigm tries to make it easier for agents to manage their autonomy and assist them in making wise autonomous judgments. The test findings demonstrate that the FLAA model enhances these agents' performance and accuracy in identifying and preventing falls.

Mohammadhossein Noori and Heydar Sadeghi, 2018 provided a smart approach for identifying volleyball talent based on major and weighted factors derived from an analytic hierarchy process of physiological, biomechanical, anthropometrical, psychological, biomechanical, and technical aspects using fuzzy logic. Anthropometric measurements (upper extremity length and height), biomechanical measurements (power and agility), psychological measurements (motivation and self-confidence), and measurements of spike and serve are also included (techniques). This method of talent assessment may be a useful and practical strategy to choose young individuals who will become future volleyball stars.

Simeon Ribagin and Spas Stavrev, 2019 advocated for using data from university engaging students in sporting activities to analyse the adequacy of tests completed using the Intercriteria Analysis approach the results demonstrate that the test battery's measures are particularly well-matched to assessing the children's early stage of physical and cognitive progress.

Glazkova Svetlana Sergeevna, Babina Yulia Sergeevna, and Babina Yulia Sergeevna, 2019 created an economic analysis of corporation sports and physical instruction Using fuzzy logic, the usefulness of the measures for measuring the cost-effectiveness of helping to promote sports and physical education was measured. Businesses may utilize the study's findings to establish internal sports and physical education programmers.

W. Sałabun, A. Shekhovtsov, D. Pamuˇcar, Jarosław W atróbski, Bartłomiej Kizielewicz, Jakub Wi eckowski, D. Bozani´c, K. Urbaniak and B. Nyczaj, 2020 introduced A multi-criteria concept was built to analysis forward players based on their match statistics; for model identification, Fuzzy triangular numbers, both symmetrical and asymmetrical, were utilized. The COMET model's empirical findings were compared against arbitrary rankings like Golden Ball and player value.

Zhenwen Xu, and Yicong Zhang, 2021 examined the outcomes of physical health exams administered to college students using the assessment technique using fuzzy integrals. Few students have an exceptional to good ratio, and most students' physical test results are in the passing range. The fuzzy integrals-based fitness rating technique for college students offers some generalizability and usefulness. Using the established index system and the complete assessment model, all girls and boys in a class or institution may have their overall fitness evaluated extensively.

Min‑Chi Chiu, 2021 studied Living an active, healthy lifestyle is essential in an ageing culture. Applications for mobile and intelligent technologies can help people achieve this objective of healthy living. Choosing a smart and suitable technology application for an active and healthy lifestyle may be difficult. To get over this problem, a fuzzy collaborative intelligence (FCI) approach was introduced in this study to examine the suitability of a mobile and smart technology application. Designing a warm atmosphere that enables seniors to age actively and healthily can benefit from the study's findings.

Fubin Wang and Qiong Huang, 2022 The function of sports rehabilitation process in intensive exercises has been described and studied, and the usage of sporting rehabilitation training in physical training has been investigated. It outlines and explains the significance of physical rehabilitation training and, gives resources for applying it. The role and, value of inpatient rehabilitation training in sports preparation are discussed, as well as an overview of the physical rehabilitation training scenario.

G. Sun, X. Zhang, and Y. Lin, 2022 created a methodology for monitoring the amount of competition in the industry and a way to judge its strength The assessment strategy presented in this study is better to the conventional evaluation method and has helped to expand China's wider sports culture, according to the findings of the evaluation of the competitiveness of the athletic culture business in various regions around China.

Q. Li, D. Zhang, Y. Han, and Y. Xie developed Guangxi's current rural sports tourist integration development initiatives offer development remedies using macro, meso, and micro dimensions. It aims to increase the fitness and leisure participation sports tourist industry, focus on discoveries, fundamentally construct uniquely valuable sports tourism resources, and appropriately set up and cultivate certain alluring tourism industry goods. A fair evaluation of the sporting and tourist infrastructure in Guangxi Province will be conducted using this evaluation technique.

G. Smekal, A. Scharl, Serge P. von D. Rochus P., Arnold Baca Æ Ramon Baron Harald Tschan, P. Hofmann, N. Bach the purpose of this study was to determine how well incremental test data, using neuro-fuzzy logic and linear regressions, could predict the energy output (P) of the maximum lactate stable state (MLSS) on a cycle ergometer. Data gathered from various groups may help in the creation of better, more attractive models that can be used by a larger number of people.

W. Zeng and J. Li established fuzzy theory and presented fuzzy logic clustering approach in football team rating Within a given range, factors alter, but the study demonstrates that our ranking result is dependable and constant. Furthermore, our strategy is easily generalizable to the scenario when N is an arbitrary positive integer and N teams exist.

Xiaojing Song discuss the application of data mining techniques to the assessment of athletic performance. The association-rule algorithm may transform the educational system's initial data into valuable information and develop a relationship between performance, boosting decision-making for the benefit of the students' physical level.

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