The influence of X fuzzy mathematical method on basketball tactics scoring

Fig. 1

Fig. 2

Judgment matrix of the importance of indicators_

	Pass and catch	Shot	dribble	Offensive rebound	Break with the ball
Pass and catch	1	1/2	5	6	6
Shot	2	1	6	5	7
Dribble	1/5	1/6	1	1/5	3
Offensive rebound	1/6	1/5	5	1	4
Break with the ball	1/6	1/7	1/3	1/4	1
Steal the ball	1/7	1/8	1/5	1/3	1/2
Defensive rebound	1/4	1/4	5	2	4
Defensive opponent	1/2	1/3	6	5	6
Play ball	1/8	1/9	1/6	1/7	1/5

Test of structural validity of questionnaire

Content validity	Very reasonable	More reasonable	General	Not reasonable	Unreasonable
Frequency	4	6	2	0	0
Percentage	33.30%	50.00%	16.70%	0	0

Comprehensive score and ranking_

Indicator name	Weight coefficient	Zhang Chao	Wang Wei	Clever	Dai Peng	Sun Xiaojie
Pass and catch	0.198037	70	70	60	70	60
Shot	0.225612	70	90	60	75	60
Dribble	0.079883	85	60	60	75	60
Offensive rebound	0.10562	60	70	85	70	60
Break with the ball	0.046674	90	75	60	85	60
Steal the ball	0.034089	70	85	80	85	60
Defensive rebound	0.1291	80	80	85	80	60
Defensive opponent	0.169627	80	75	90	90	60
Play ball	0.011348	50	60	60	70	60
overall ratings		73.92	76.57	71.72	77.51	60.06
Rank		9	5	13	4	15

Target weight calculation results_

Aims	Weights WI
Pass and catch	0.198037
Shot	0.225612
Dribble	0.079883
Offensive rebound	0.10562
Break with the ball	0.046674
Steal the ball	0.034089
Defensive rebound	0.1291
Defensive opponent	0.169627
Play ball	0.011348

Basic situation of experts conducting validity evaluation

Job title	Professor	Associate professor	Total
Number of people	4	8	12

Statistics on the distribution and recovery of questionnaires

Number of issues	Number of recycling	Recovery rate	Effective number	Efficient
12	12	100%	12	100%

Test of the content validity of the questionnaire

Content validity	Very reasonable	More reasonable	General	Not reasonable	Unreasonable
Frequency	4	7	1	0	0
Percentage	33.30%	58.40%	8.30%	0	0

Test of the overall design validity of the questionnaire

Content validity	Very reasonable	More reasonable	General	Not reasonable	Unreasonable
Frequency	1	10	1	0	0
Percentage	8.30%	83.40%	8.30%	0	0

RI value changes with the matrix order n_

Matrix order n	3	4	5	6	7	8	9	10	11	12
RI value	0.52	0.89	1.12	1.26	1.36	1.41	1.46	1.49	1.52	1.54