Fuzzy Comprehensive Evaluation of Research on China s Sports Industry Development in Leisure Era

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1 Sed Orders for Reprts to 67 The Ope Cyberetcs & Systemcs Joral, 05, 9, Ope Access Fzzy Comprehesve Evalato of Research o Cha s Sports Idstry Developmet Lesre Era Zhyog X Departmet of Physcal Edcato, Jags Isttte of Commerce, Najg 68, Jags, Cha Abstract: I the lesre era, the sports dstry has attracted more ad more people s atteto, ad ftess ceters became the ma places of ctzes relaxato ad etertamet the cty, whch ot oly played roles relaxato bt also let sports ftess to ga well developmet. The paper tlzes fzzy comprehesve evalato to evalate Cha s sports dstral developmet. The vales obta from comprehesve evalato show that Cha s sports dstral cotrbto s good ad shows a excellet developmet tred. Keywords: Fzzy evalato, Lesre era, Physcal health, Sports dstry.. INTRODCTION Sports dstry s Cha s mportat afflated eterprse, ad also a dspesble dstry cotrbtg to the state ecoomy. Cha s sports dstry s crret stato s ot gog well, so ths paper we carred ot stats codtos aalyss targetg at Cha s sports dstry ad codcted strategc researches o ftre developmet []. Cha s sports dstry srely has may drawbacks, for example low startg pots, mbalaced developmet ad so o []. Bt the overall tred s creasg by year; ecoomcally developed ctes have hgher reqremets o sports dstry []. By Table, t s clear that rapdly ecoomcally developed ctes also have very developed sports dstry, whch dcates that the sports dstry ca be regarded as the mportat pllar of ecoomy, ad also a mportat state dstry []. Table shows Hbe provce sports dstry s forms of owershp, whch s domated both by state-owed holdg ad prvate holdg, ad meawhle Hbe provce trodces proactve dstres from Hog Kog, Macao ad Tawa, whch ot oly trodces advaced eterprses, bt also brgs ratoal maagemet system ad lets Hbe provce sports dstry to eter to a brad ew developmetal heght [5]. Table smmarzes Hbe provce s sports ad relatve dstres vestgato data. Sports mafactrg dstry occpes cosderably large proportos Hbe provce sports dstry, ad t ca be called as pllar dstry. The sports mafactrg dstry trodced gross vale of prodcto, coverg sports sales, sports costrcto dstry, ad sports servce dstry. However, from Table, t s show that Hbe provce sports servce dstry developmet s ot very mpressve. However, f the sports dstry gets rd of sports Address correspodece to ths athor at the Departmet of Physcal Edcato, Jags Isttte of Commerce, Najg 68, Jags, Cha; Tel: ; E-mal: xzhyog050@sa.com mafactrg dstry, as show Fg. (), t s establshed that sports sales ad sports servce dstry wll be creasg year by year, whereas the ftre of sports costrcto dstry s srely certa so that t may have some coectos wth ts attrbtes.. FZZY EVALATION MODEL ESTABLISH- MENTS.. Fzzy Comprehesve Evalato Model Fzzy comprehesve evalato model s stable for fzzy calclato of mltple factors that are certa. The paper tlzes fzzy comprehesve evalato wth the followg steps: () At frst, the paper establshes a factor set : = ( ) k () Secodly, t establshes a jdgmet set Vs (evalato set). () By establshg a fzzy mappg from jdgmet matrx to jdgmet matrx V, t gets a fzzy relato as the followg matrx shows: r r r # r r r R # = # r r r % m m m & () By establshg a weght set, A = ( a, a,, a ), the codto that shold be met s : = a = a 0 (5) I fzzy relato R, every le reflects the le flecg factors to jdgmet-object extet, ad 87-0X/5 05 Betham Ope

2 Fzzy Comprehesve Evalato o Cha s Sports Idstry The Ope Cyberetcs & Systemcs Joral, 05, Volme 9 67 Table. Cha s sports dstry stats aalyss. Provce Gagdog Jags Bejg Laog Zhejag Rato % 5% 0% % 5% Table. Hbe provce sports dstry s forms of owershp. Forms of Owershp Amot of Holdgs Percetage State-owed holdg 68 Collectve-owed holdg 95 6 Hog Kog, Macao ad Tawa-owed holdg Other holdgs 658 Foreg eterprse holdgs Prvate holdg Table. Sports dstres all kds of otpt dcators. Idstry Year 006 Year 007 Year 008 Sports mafactrg dstry Sports sales dstry Sports costrcto dstry Sports servce dstry meawhle, R every colm reflects the colm flecg factors to jdgmet-object extet. j = r j =,,,, m Secodly, carry ot followg calclato: B = A R ( a, a, a,, a ) = % % ( b, b, b,, b ) = r r r # r r r % % & rm rm rm I V, evalato of fzzy set B descrbes the combato. Based o the above descrbed facts, a smple modfed model that s obtaed by fzzy comprehesve evalato s show as Fg. (): Fg. (). Modfed model. Accordg to Fg. (), the modfed fzzy comprehesve evalato model s establshed whch correspods to every factor of the grade evalato trasformato fcto, so that evalato factors,,,, 5 membershp fctos ca be expressed as the followg formlas (), (), (), (5) respectvely: k 0.5( + ), # k k k ( ) = 0.5( ), k % < k 0, < k v & k k k 0.5( ), # k k k 0.5( + ), k % < k k k ( ) = & k v 0.5( ), k % < k k k k 0.5( ), < k k () ()

3 67 The Ope Cyberetcs & Systemcs Joral, 05, Volme 9 Zhyog X Table. Cha s sports dertakg evalato dcator system. Sports costrcto dstry Sports persoel cltvato Sports orgazatos cltvato Sports dertakg revtalzato Sports facltes trodcto Professoal coaches cltvato Sports evets Iteratoal sports dertakg trodcto Sports facltes mateace verstes faclty cltvato Sports actvtes Sports pblc dertakg developmet Stadm costrcto Sports foreg teachers trodcto Sports lectrg Revtalzato of sports tradtoal dertakg Daly sports facltes costrcto Trag stregth Sports overseas tor Sports eqpmet mateace ad chagg 5 Table 5. For kds of factors statstcs rakg based o mportace degree. Classfcato Rak Rak Rak Rak Sports costrcto dstry Sports persoel cltvato Sports orgazatos cltvato Sports dertakg revtalzato , # k k ( ) = 0.5( ), k % < k k 0.5( + ), < k k v & k k.. Combe wth Fzzy Evalato Models to Evalate Cha s Sports dertakg System By the above model prcples, a factor set has bee establshed, from whch = ( ) s obtaed. Amog them, sports costrcto dstry s, sports persoel cltvato s, sports orgazatos cltvato s, ad sports dertakg revtalzato s, see Table. The paper establshes a small factor set ot of for mportat factors sets. Table lsted factors helped get a evalato set. {,,, } = () {,,,, } = 5 {,, } = {,,, } = By collectg ad aalyzg data, statstcs of for kds of factors raked based o mportace, has bee obtaed, see Table 5. I Table 5, a for-colm rak of a matrx has bee establshed whch: sports costrcto dstry s, sports persoel cltvato s, sports orgazatos cltvato s, sports dertakg revtalzato s. = {,7,,0} { } = 7,8,8 0 = { 0,9,,} = {,0,9,} Weghted vector s obtaed from rak to rak {,,, } = { 0., 0., 0., 0.} =

4 Fzzy Comprehesve Evalato o Cha s Sports Idstry The Ope Cyberetcs & Systemcs Joral, 05, Volme Table 6. Remarks membershp. Evalato Way Set Scores Iterval Bad Table 7. Cha s sports dertakg s evalato obtaed vales for all dcators. Each Layer Idcator Evalato Vale Each Layer Idcator Evalato Vale Sports facltes trodcto Sports evets Sports facltes mateace Sports actvtes Stadm costrcto Sports lectrg Daly sports facltes costrcto Sports overseas tor Sports eqpmet mateace ad chagg 5 Iteratoal sports dertakg trodcto Professoal coaches cltvato Sports pblc dertakg developmet verstes faclty cltvato Revtalzato of sports tradtoal dertakg Sports foreg teachers trodcto Trag stregth = T =, = 9., =, = 5.6 The paper takes ormalzato processg = 0.5, It gets = 0., A = ( ) = 0., = 0.5 The paper establshes remarks membershp, as show Table 6. Cha s sport dertakg s evalato reslts obtaed sports costrcto dstry, sports persoel cltvato, sports orgazatos cltvato, ad sports dertakg revtalzato, are gve Table 7. By the above model, a sgle-layer dcator factor fzzy weght set s: {,,,, } { } = = 5 {,,, } { } = = {,,, } { } = = {,, } { } = = By aalyzg Table 5 ad Table, a evalato set for each colm has bee establshed whch: sports costrcto dstry s, sports persoel cltvato s, sports orgazatos cltvato s, ad sports dertakg revtalzato s : Sports costrcto dstry Sports persoel cltvato # = # # % & = # % &

5 676 The Ope Cyberetcs & Systemcs Joral, 05, Volme 9 Zhyog X Sports orgazatos cltvato = # % & Sports dertakg revtalzato = # % & The above evalato sets are calclated accordg to followg formla: B = A R The ormalzato processg s carred ot sg the obtaed B, ad ths a fzzy evalato matrx s obtaed: B # # % B % B = % = % B % % % % B & & Ths, comprehesve evalato vale s as follows: Z B = = CONCLSION ( ) Sports dstry s a dstry dspesble for Cha s ecoomy. Ths paper codcted stats aalyss of Cha s sports dstry, ad carred ot strategc researches o ts ftre developmet. The paper tlzed fzzy mathematcs to aalyze recogto of hma resorces by the oter world, de to sfferg from meros factors, whch are fzzy. The fzzy mathematcs has bee sed to aalyze Cha govermet s promotos of sports dstry developmet. CONFLICT OF INTEREST The athor cofrms that ths artcle cotet has o coflct of terest. ACKNOWLEDGEMENTS Declared oe. REFERENCES [] Y. Che, G. Ma, A emprcal stdy o commty sports servce resdets Satsfacto Idex Model, Cha Sport Scece ad Techology, vol. 5, o., 009. [] Y. He, M. X, Stdy o evalatg system of sports coscosess of commty resdets sothwest ctes, Joral of Chegd Physcal Edcato Isttte, vol., o., pp. -5, 007. [] B. L, S. H, H, X, J. Gao, Idces of the eqalty of essetal pblc health servces Cha, Chese Joral of Health Polcy, vol., o. 6, pp. -7, 009. [] G. Wag, W. Zhag, Costrcto of the evalato dex system of cty commty sports-takg shagha as a example, Joral of Chegd Physcal Edcato Isttte, vol. 6, o., 00. [5] D. Zhag, M. L, Stdes o evalato dex system of pblc sports facltes developmet level cha, Cha Sport Scece, vol., o., pp. -, 0. Receved: Je 0, 05 Revsed: Jly 9, 05 Accepted: Agst 5, 05 Zhyog X; Lcesee Betham Ope. Ths s a ope access artcle lcesed der the terms of the ( whch permts restrcted, ocommercal se, dstrbto ad reprodcto ay medm, provded the work s properly cted.