Applied Research on Clustering Algorithm in Basketball Training Aids

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1 016 Iteratioal Cogress o Comptatio Algorithms i Egieerig (ICCAE 016) ISBN: Applied Research o Clsterig Algorithm i Basketball Traiig Aids Shaoqig Li 1 & Yahi Zhag 1 Teachig ad Research Office of Physical Edcatio, Departmet of Pblic Basic Corses, Lagfag Health Vocatioal College, Lagfag, Hebei, Chia Lagfag Health Vocatioal College, Lagfag, Hebei, Chia ABSTRACT: The basketball traiig aids are sed for basketball traiig to achieve a scietific ad ratioal traiig effect. This paper aalyzes the applicatio of basketball aids based o the clsterig algorithm, ad maily adopts the FCM clsterig algorithm, ad verifies by the reslts obtaied from the hierarchical clsterig algorithm, ad aalyzes the se ratio of varios types of aids sed i traiig accordig to the types ad developmet prospect of basketball aids. Keywords: hierarchical clsterig; FCM clsterig; cosistecy check; basketball traiig aids 1 INTRODCTION Crretly, there is a pheomeo i Chia. For physical traiig aids, the professioal athletes wold like to select eqipmet prodced i foreig cotries, becase there is certai traiig itesity differece abot some eqipmet of betwee Chia ad other foreig cotries. However, for foreig eqipmet, we have o stadardized sig system i its performace ad stregth, so the scietific applicatio method is eeded. It is a obviosly log jorey for or basketball players to go i compariso to the players i wester cotries. This sitatio is cased by may factors, bt the key factor is the athletes traiig. The aids ca be sed to perfect major steps of traiig. The basketball traiig ca make athletes grasp more perfect basic techiqe. Ad these aids ca make athletes traiig techiqe more adept, wide their traiig scale ad icrease their competitive resistace, so as to achieve the best reslts. CLSTERING ALGORITHM.1 Hierarchical clsterig algorithm The clsterig is carried ot throgh costrctio of hierarchy. The hierarchical clsterig method is also kow as the tree clsterig method, solvig the strctre of clsters by repeated divisio ad aggregatio of data at last. The clsterig process is fially divided ito several categories to be solved throgh fidig ot the category with similar distace ad hierarchical classificatio.. FCM clsterig algorithm Throgh the establishmet of exteral idicators ad iteral idicators, the FCM clsterig algorithm is calclated as follows: (1) Get a certai stage ad traiig data of a athlete to clear p at first; () Develop the priciple of divisio, ad divide the data obtaied i accordace with the developed priciple of divisio of etwork flow; (3) Extract data for matchig; () Aalyze whether the data ca match the crret developmet tred; () Otherwise, divide agai. 3 APPLICATION OF BASKETBALL TRAINING AIDS BASED ON FCM CLSTERING ALGO- RITHM I the modelig process, determie the factors set at first:

2 1 {,,, } Determie the jdgmet set: V v1 v v m {,,, } Determie the fzzy evalatio matrix R ( rij ) : m r11 r1 r1 r1 r r R rm 1 rm rm First, make a jdgmet f ( )( i 1,,, ) for each factor, so as to obtai a fzzy mappig f from the factor set to the jdgmet set V, that is: f : F( ) f ( ) ( r, r,, r ) F( V ) i i i1 i im The fid ot the fzzy relatio R F( V ) from the fzzy mappig f, that is: R (, v ) f ( )( v ) r ( i 1,,, ; j 1,,, m) f i j i j ij () The weight set is A ( a, a,, a ) F( ) ; 1 its bodary coditio is: i1 a 1 a 0 i B AR i i a1, a, a3,, a b, b, b,, b 1 3 r r r r r r r r r m1 m m Comprehesive jdgmet: For the weight A ( a, a,, a ) F( ), takig the maximm--miimm compositioal arithmetic by the se 1 of model M (, ), the comprehesive jdgmet ca be obtaied: B A R ( b ( a r ), j 1,,, m) j i ij i1 The determiatio of the weight A ( a, a,, a ) 1 of the jdgmet set V is a importat part i the f modelig process. The mai reaso is that the jdgmet process based o reality is determied by establishig a fzzy relatio. The factors set of clster aalysis is established: 1 3 Basketball traiig aids ca be divided ito five importat factors: physical traiig aids ( ), techical traiig aids ( ), metal traiig aids ( 1 ), 3 tactical traiig aids ( ) ad ftre developmet treds ( ). They are obtaied i Table 3. Ad this paper establishes a small factor set for five importat factors. The jdgmet set ca be obtaied by the above factors.,,, ; 1,, 3,, ; 1,,, ; ; I the solvig process of the algorithm, the rakig matrix for the followig five aspects ca be obtaied: physical traiig aids ( ), techical traiig aids 1 ( ), metal traiig aids ( ), tactical traiig aids 3 ( ), ftre developmet treds ( ). The weight vector ca be obtaied i the rakig process:,,,, = 0.3, 0.3, 0., 0.1, T i i, 9., 3.6,, 1 10 Via ormalizatio processig: , 0.11, A We ca obtai: 0.8, , This paper establishes a membership of jdgmet as show i Table. For the establishmet of the secod-level idicators, the process is complicated. Accordig to research data, literatre ad cases, the empirical jdgmet ca be carried ot for the secod-level idicators applied for the basketball traiig aids. The degree of importace 3

3 Physical traiig aids ( 1 ) Elastic strap traiig 11 Kietic droge chte traiig 1 Agility ladder traiig 13 Core power eqipmet 1 Table 1. Idex evalatio system for applicatio of basketball traiig aids. Techical traiig aids ( ) Shootig traiig aid 1 Ball-pass traiig aids Ati-bow traiig glasses 3 Hma defese model Metal traiig aids ( 3 ) Metal compter Qestioaire srvey 3 Tactical traiig aids ( ) Mltimedia combiatio eqipmet 1 Tactical research Ftre developmet treds ( ) Eqipmet tilizatio rate 1 Research o scietific research iovatio Eqipmet tilizatio ratio 3 Jdgmet method Table. Membership of jdgmet i applicatio of basketball traiig aids. Set score rage Very Good Geeral Bad Table 3. Evalatio vale of applicatio for basketball traiig aids. Clster idices vale Each idicator vale Elastic strap traiig 11 Metal compter Kietic droge chte traiig 1 geeral Qestioaire srvey 3 Agility ladder traiig 13 Core power eqipmet 1 Shootig traiig aid 1 geeral Eqipmet tilizatio rate 1 Mltimedia combiatio eqipmet 1 Tactical research geeral Ball-pass traiig aids Research o scietific research iovatio Ati-bow traiig glasses 3 geeral Eqipmet tilizatio ratio 3 Hma defese model geeral geeral of the secod-level idicators ca be reflected by the size of score vale. Table 3 ca be obtaied throgh above idicators. This paper obtais a fzzy set of weight factor of a sigle idicator:,,, 0., 0., 0.3, 0.1,,, , ,,, 1 3, 3 3, 0. 0.,, 0., 0.3, 0.6, After calclatio, the evalatio set of the followig aspects ca be obtaied: physical traiig aids ( 1 ), techical traiig aids ( ), metal traiig aids ( 3 ), tactical traiig aids ( ) ad ftre developmet treds ( ). Physical traiig aids: 33

4 = Techical traiig aids: = Metal traiig aids: = Tactical traiig aids: = Ftre developmet treds: = B Accordig to the formla: A R i i i The fzzy evalatio matrix ca be obtaied after ormalizatio processig of B i : B B B B B B The applicatio stats of the basketball traiig eqipmet aids ca be obtaied: Z B raks the first place i the evalatio vale, so the evalatio idicator is. I some professioal exercise traiigs, the applicatio of basketball traiig aids i Chia has obtaied a eogh tilizatio ratio. TEST MODEL BASED ON HIERARCHICAL CLSTERING First, calclate the jdgmet matrix: Ak ( k ij ), Establish the weight vector accordig to above steps: wk w, w, w,, w ( k 1,, x) k1 k k3 k Where, k represets oe of the experts; x represets the total mber of experts; j represets a idicator i a target layer; represets the total mber of idicators i a target layer. By the formla: W j Wf 1Wf k Wfs The ormalizatio processig is give to the geometric mea of the weight vector. Accordig to the formla: w j wf j1 Wf Therefore, the total rakig list of the layer ca be obtaied throgh the weight composed by Wj, as show i Table. By comparig with the weight vales obtaied by FCM clsterig method, two clsterig methods have similar strctres i the first-level idicators de to the secod-level idicators. CONSISTENCY CHECK This paper tests the cosistecy of idicators established i the FCM clsterig method ad the hierarchical clsterig method by the se of cosistecy idicators, which are physical traiig aids, techical traiig aids, metal traiig aids, tactical traiig aids ad ftre developmet treds. Accordig to the formla: max CI 1 Where: ad are respectively the maximm max eigevale ad order of the compariso matrix. For the eigevales obtaied from the hierarchical clsterig process, (0) RI max.073, 0.9 3

5 Table. Total rakig list of the layer. B 1 B B 3 B B Elastic strap traiig C Kietic droge chte traiig C Agility ladder traiig C Core power eqipmet C Shootig traiig aid C ( max ) Ball-pass traiig aids C Ati-bow traiig glasses C Hma defese model C Metal compter C Qestioaire srvey C Mltimedia combiatio eqipmet C Tactical research C Eqipmet tilizatio rate C Research o scietific research iovatio C Eqipmet tilizatio ratio C ( mi ) Total rakig reslt of the layer C Table. RI vale RI CI 0. 1 CI 0.0 CR RI 0.90 Correspodig to Table, the cosistecy check is valid. 6 CONCLSION The basketball traiig aids ca ot oly greatly ehace the traiig effect, bt also provide safety garatee for the athletes to achieve scietific ad reasoable traiig effect. First, this paper divides ito the basketball traiig aids: physical traiig aids, techical traiig aids, metal traiig aids ad tactical traiig aids. This paper aalyzes the applicatio of basketball traiig aids ad tilizatio ratio based o the clsterig algorithm, ad establishes the hierarchical clsterig model for compariso validatio of reslts. REFERENCES [1] S Jigi, Li Jie, & Zhao Liay Research o clsterig algorithm. Joral of Software. (01): [] Zho Xiag. 01. Applied research o Chia s basketball traiig aids. Chegd: Chegd Sport iversity. [3] Zhag Che, Xia Shixiog, & Li Big A improved fzzy clsterig algorithm. Applied research of compters, 8 (8):

6 [] G Che Developmet stats of Chia s high-ed sports eqipmet ad developmet cotermeasre research. East Chia Normal iversity. [] Dai Dexiag. 01. Practice research o atagoistic traiig of basketball ceter with istrmets. Fight Sport Form, (10). [6] Wag Baocheg, Kag Lbi, & Ta Zhebi, et al Basic Theory ad Cotet of Physical Traiig for Basketball Players. Joral of Capital Istitte of Physical Edcatio, 13 (3): 38. [7] Gelbard R, Goldma O, & Spiegler I Ivestigatig diversity of clsterig methods: a empirical compariso. Data & Kowledge Egieerig, 63 (1):