<abstract xmlns="http://www.w3.org/1999/xhtml">

<sec><h3>Objective</h3>
<p>To explore the application of fuzzy mathematics calculation in quantitative evaluation of students’ basketball jump shot performance.</p>
</sec>
<sec><h3>Methods</h3>
<p>Using the basic theory of fuzzy mathematics and the calculation method of fuzzy correlation, the correlation degree between the training means and the free throw hit rate was obtained, and further, the best training means to improve the free throw hit rate of basketball players were selected. As a result, when the ball reaches the highest point or falls after reaching the highest point, it is pushed out towards the 45° Angle, making the basketball fly to the basket in an arc. The jump shot is designed to avoid being blocked by a defender and is very effective against players of similar size or when no one is guarding.</p>
</sec>
<sec><h3>Conclusion</h3>
<p>The method proposed in this paper is suitable for the evaluation of college basketball teaching and ball skill training, and provides theoretical basis and quantitative data for training.</p>
</sec>
</abstract>

Objective
To explore the application of fuzzy mathematics calculation in quantitative evaluation of students’ basketball jump shot performance.

Methods
Using the basic theory of fuzzy mathematics and the calculation method of fuzzy correlation, the correlation degree between the training means and the free throw hit rate was obtained, and further, the best training means to improve the free throw hit rate of basketball players were selected. As a result, when the ball reaches the highest point or falls after reaching the highest point, it is pushed out towards the 45° Angle, making the basketball fly to the basket in an arc. The jump shot is designed to avoid being blocked by a defender and is very effective against players of similar size or when no one is guarding.

Conclusion
The method proposed in this paper is suitable for the evaluation of college basketball teaching and ball skill training, and provides theoretical basis and quantitative data for training.

Application of Fuzzy Mathematics Calculation in Quantitative Evaluation of Students’ Performance of Basketball Jump Shot

Physical Education Teaching and Research Department of Northeast Petroleum University

Computer Science Department, Faculty of Computing and Information Technology

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

Objective
To explore the application of fuzzy mathematics calculation in quantitative evaluation of students’ basketball jump shot performance.

Methods
Using...

Expert Uj weight weight U_j	U₁	U₂	...	U_m	∑
Experts 1	a₁₁	a₁₂	...	a_1m	1
Experts 2	a₂₁	a₂₂	...	a_2m	1
...	...	...	...	...	...
Experts m	a_m₁	a_m2	...	a_ma	1
$\underset{\sim}{A} = [0.095, 0.092, 0.083, 0.092, 0.089, 0.122, 0.141, 0.131, 0.15]$ {1 \over {\rm{m}}}{\sum _{aij = aj}}	$\frac{1}{m} \sum_{aij = aj}$ {1 \over {\rm{m}}}{a_1}	$\frac{1}{m} a_{1}$ {1 \over {\rm{m}}}{a_2}	...	$\frac{1}{m} a_{2}$ {1 \over {\rm{m}}}{a_a}	1

Level	Score	Comments
1	100~90	Excellent
2	89~80	Good
3	79~70	Fair
4	69~60	Pass
5	<60	Fail

Training means	Psychological factors	Physical factors	The technical level	Muscle proprioception	Coordination	A combined	R₂
X₁	0.225	1	0.625	0.875	0.450	3.175	0.635
X₂	0.125	0	0.625	0.95	0.450	2.2	0.44
X₃	0	0	0.925	0.95	0.450	2.525	0.505
X₄	1	0.125	0.825	0.425	0.35	2.725	0.565
X₅	0.225	0	0.85	0.875	0.825	2.775	0.565
X₆	0.475	0.975	0.65	0.775	0.525	3.4	0.555
X₇	0	0.575	0.825	0.90	0.775	3.075	0.615
X₈	1	0.275	0.575	0.325	0.225	2.4	0.48
A combined	3.05	2.95	5.95	6.08	4.25
R₁	0.38	0.37	0.74	0.76	0.53

Items/Comments	Excellent	Good	Fair	Pass
Lift the ball position	0.25	0.27	0.22	0.26
The smoothness of lifting the ball	0.17	0.21	0.31	0.31
Cast dancing posture	0.21	0.34	0.22	0.23

Items/Comments	Excellent	Good	Fair	Pass,
Lift the ball position	0.28	0.21	0.24	0.27
The smoothness of lifting the ball	0.22	0.24	0.27	0.27
Cast dancing posture	0.27	0.31	0.19	0.27

Application of Fuzzy Mathematics Calculation in Quantitative Evaluation of Students’ Performance of Basketball Jump Shot

Publié en ligne: 15 déc. 2021

Pages: 877 - 884

Reçu: 16 juin 2021

Accepté: 24 sept. 2021

DOI: https://doi.org/10.2478/amns.2021.1.00072

Mots clés
Fuzzy mathematical calculation, Jump shot performance, Training means

© 2021 Lianzhu Qu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Weight determination method

Score values of each grade

Correlation matrix of various training methods and influencing factors of free throw shooting

Score of student 1 evaluated in the evaluation

Score of student 2 evaluated in the evaluation

Application of Fuzzy Mathematics Calculation in Quantitative Evaluation of Students’ Performance of Basketball Jump Shot

Publié en ligne: 15 déc. 2021

Pages: 877 - 884

Reçu: 16 juin 2021

Accepté: 24 sept. 2021

DOI: https://doi.org/10.2478/amns.2021.1.00072

Mots clésFuzzy mathematical calculation, Jump shot performance, Training means

© 2021 Lianzhu Qu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Weight determination method

Score values of each grade

Correlation matrix of various training methods and influencing factors of free throw shooting

Score of student 1 evaluated in the evaluation

Score of student 2 evaluated in the evaluation

Mots clés
Fuzzy mathematical calculation, Jump shot performance, Training means