Comparison of probabilistic and fuzzy approach to evaluating condition performance level in tennis



Rok publikování 2015
Druh Článek v odborném periodiku
Časopis / Zdroj Kinesiologia Slovenica
Fakulta / Pracoviště MU

Fakulta sportovních studií

Obor Sport a aktivity volného času
Klíčová slova diagnosis; fuzzy theory; probability theory; test battery; tennis
Popis Fuzzy theory was defined in the 1960s of the 20th century, and since the 1990s a number of studies have been published dealing with the fuzzy theory and how it can be used in data diagnosis in sports. While the classic theory operates with sharp borders between groups and the key concept is a concept of membership (element either belongs or does not belong to the set), the fuzzy theory enables to minimize issues that arise from strict mathematical and statistical requirements of the probability theory and defines the grade of membership from the interval <0, 1> with the aid of the membership function. Aim of this research study is to present options in which the fuzzy logic can be used when evaluating results of tennis players using the TENDIAG1 test battery and for comparing the tennis players‘ level with the aid of the fuzzy approach and the probability approach. The research set consisted of 12 year old tennis players (n = 88, age: 12,5 ± 0,3; height: 157,4 ± 7,0 cm; weight: 45,3 ± 6,3 kg). The research data were obtaind by the TENDIAG1 test battery in the yeras of 2000 - 2010. The test battery consisted of 9 measurements and of somatic and motor preconditions tests. For individual tests, based on expert evaluations and nature of the data, the memebership function sets were identified. Results of the tennis players were then asigned various grades, based both on the probability approach as well as the fuzzy approach. Comparison of the results obtained by these approaches showed their great mutual relation (r = 0,92, p = 0,05). Detailed analysis of the results showed that the fuzzy evaluation provides a significant differentiation of results of individual tennis players. Especially those, who aquired an equal score in evaluation, the fuzzy evaluation gives a finer and more precise resolution of the overal level.

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