Fuzzy evaluation to parkour social value research based on AHP improved model

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1 ISSN : Volume 0 Issue BTAIJ, 0(), 0 [0-] Fuzzy evaluation to pakou social value eseach based on AHP impoved model Yulian Guo *, Xiaojun Guo and Xigui Sun Institute of Physical Education, Jilin Univesity, Changchun 00, Jilin, (CHINA) Depatment of Physical Education, Southwesten Foesty Univesity, Kunming 60, Yunnan, (CHINA) Goup of Physical Education, Jilin Povince Expeimental Middle School, Changchun 00, Jilin, (CHINA) ABSTRACT Pakou equies bette physical quality and psychological quality, its featues is continuously ovecoming psychological limit and physical limit, self-beak, getting passed obstacles. In ecent yeas, it has been apidly developed in China, and geneates lage influences on each aspect of society, especially in the youth goup, evaluates its social value is emphasis and diection of pesent scholas eseaches. This pape makes analysis and eseach on pakou social value by documents liteatue as well as establishing mathematical model. Setting and classifying value system to do compehensive evaluation, it gets each sub facto weight by analytic hieachy pocess, and then it gets pakou social value evaluation by fuzzy mathematical evaluation. Reseach shows the spot development in China has benefits in whole society cultue, economy, body building, and ecology and so on; final evaluated social value esult is highe. 0 Tade Science Inc. - INDIA KEYWORDS Pakou; Fuzzy mathematical evaluation; Social value; Analytic hieachy pocess. INTRODUCTION Pakou is intoduced fom oveseas to China; it is a new spot with egad to Chinese taditional spot events. Whethe it can integate into society o not, whethe it possesses highe social value o not, which ae the key to the spot can develop o not. Coectly lean pakou social value, and then it can decide whethe suppot the spot o not, coectly guide the spot development oientation, finally popel to social spots pogess and pomote combination between Chinese spots and intenational one. Fo pakou development eseach and value, lots of people have made effots, just by thei effots, not only popel to spead pakou, but also it analyzes development pospects that points out the diection fo pakou development. Fom which, Gu Shi- Xing(00) made deeply eseach fom pakou Chinese cuent development status, pakou in Chinese national fitness, school spots, competitive execises and othe aspects, his exploation thought that pakou had highe values in the aspect of spots. Wang Guo- Yong (00) adopted documents liteatue, investigation method, expet inteview compehensive analyzing pakou social values contents, he thought it had body building value, heat building value, economic

2 BTAIJ, 0() 0 Yulian Guo et al. value, cultual value, ecological value. He discussed pakou values moe compehensive and detailed, which povided geneal fame fo futue pakou values eseach. Zhang Xu (0) analyzed pakou values by questionnaie suvey, stating fom body building value, eceational value, business value, atistic value, he got that pakou had cetain social values. Zheng Yong etc. (0) made eseach and analysis on pakou innovation, onamental value and feedom as well as it special spot values. Meanwhile thee ae lots of scholas made deepen eseach on pakou values othe aspects. This pape on the basis of pevious eseaches, makes soting out and classification of pakou social values, classifies appoximate value aspects into one type, compehensive consides pakou economic value, cultual value, body building value, ecological value, moal quality value. Apply fuzzy mathematics to establish evaluation system mathematical model, analyze and eseach its social value. Convet language desciption into quantized value; clealy point out pakou social values sizes. PARKOUR SOCIAL VALUE ANALYSIS Pakou is a kind of exteme spots, due to its feedom, innovation, onamental value; it is well eceived by the youth fom all counties in the wold. In 006, it intoduced to China that belonged to newly-developed spot, and it has been apidly developed in China. Pakou is English wod Pakou tansliteation, which is bon in 980s; the oiginal meaning is cossing obstacles, which is a kind of deived spot duing Fench fiefightes taining. Its uppemost featue is that not elying on fixed taining base; the spot can poceed only in the aea with obstacles. But it equies bette technology, physical quality and psychological quality as well as exhibit spot beauty in technical motions completion duing unning, the emegence of pakou to Chinese society influence is the pape eseaching diection. Economic value Pakou economic value including diect economic value that ae business activities bought by stimulating its own industial development; indiect economic value that is achieved economic efficiency by maket diving elative industies development. In the view of contents, it includes pevious eseaches business value, band value, eceational value, exhibition value as well as the aspects that can geneate efficiency in shot-tem. Cultual value Pakou cultual value can be divided into extenal technical value and connotation ideological value. Extenal value evolves into at appeciation, exchanging ideas, popelling to cultual and educational exchanges. In guiding thoughts, it has special ways, such as feedom, ceative, innovation, challenge, ovecoming fea, which is both idea and cultual composition. It not only is intelinked with China pesently poposed innovation ideas, confoming to ea featues and cultual tends, but also is intelinked with Chinese gymnastics cultue, matial ats cultue. The contents include communicative value, innovation value, game competitiveness and othe aspects. Body building value No matte which spot, its stating point and ending point ae popelling to people physical and psychological health. Pakou spots featues decide it can impove physical quality, stengthen psychological adjustment ability. In value system, the contents include body building value, heat building value, eceational value and so on. Ecological value Take spots taining, it should focus on hamony between people and natue. Pakou elies on natual envionment as cout to poceed, it will not damage natual envionment due to cout causes, is a kind of ecological spot event. Value system contents include envionment value, input value and so on. Moal quality value Diffeent spots efined philosophical thoughts ae diffeent, it will effect on individual moal quality. Pakou based on goup pefomance, though intoduces fom westen, it hasn t mixed up with westen individualism thought. Pakou moal quality includes exchange value, goup consciousness, self-value and so on. The above five values ae mutually effected to cetain degees in pactice. To simple and efficient solve pakou social value quantity, it will only conside above

3 Fuzzy evaluation to pakou social value eseach based on AHP impoved model BTAIJ, 0() 0 five types, and assume that mutual effects can be ignoed. FUZZY MATHEMATICAL EVALUATION MODEL Fuzzy mathematics as a band-new discipline is using mathematical method analyzing and handling with uncetain phenomenon. It is a new mathematical discipline that develops afte classical mathematics, statistical mathematics. Afte shot silence and dispute, it has been developing with apid advances, and its applications become moe and moe widely. Nowadays, fuzzy mathematics applications have aleady thoughout science, engineeing, agicultue, medicine as well as social science evey field; it fully shows its poweful vitality and penetation. Pakou evaluation indicato Make evaluation on pakou social value s body building value, economic value, cultual value, ecological value, moal quality value and othes totally factos. Define judged objects facto domain of discouseu : U u, u, u, u, ); ( u Among them, u epesents body building value, u epesents economic value, u is cultual value, u is heat building value, u is ecological value. Define level domain of discousev Pakou value classifies into levels that ae vey high, highe, nomal, and not high. V (v, v, v, v ) Among them, v epesents vey high, v epe- sents highe, v epesents nomal, v epesents not high. Define membeship Accoding to assignment method, with documents liteatue s autho desciption of each facto value to define membeship, it can efe to TABLE. Establish fuzzy elation matix Fuzzy matix R is: R Among them, ij is U facto i to V level v j membeship function; evaluate pakou social value, take whole amount allocation A a, a, a,.a a ),, (, A is U each facto to social value membeship function. Each facto to social value membeship function defining Fo each facto social value weight defining, the pape adopts analytic hieachy pocess weight defining method to define each facto weight. Analytic Hieachy Pocess, is called AHP fo shot, the method was poposed by Ameican opeational eseach expet pofesso T. L. Saaty in the ealie peiod of 970s. AHP is a kind of simple, flexible and pactical multiple citeion decision method, it has unique effects on qualitative poblems quantitative analysis, the method can classify complicated poblems each facto and methodize it, by each laye elements paied compaison, it gets evaluation system quantized desciption, it can calculate citeion laye each facto weight by zoom matix. Due to AHP featues, since it was intoduced to China in 98, it has been apidly and widely applied in each field of social economy. With development of com- TABLE : Odeed pai v ) ( i j u, assigned membeship v u v vey high v highe v nomal v not high u u u u u

4 BTAIJ, 0() 0 Yulian Guo et al. pute technology, mathematical pofessional softwae Matlab functions ae gadually getting poweful, it can moe accuate, moe quickly, moe pofessional make calculation on AHP model. Regad social value as objective laye, facto domain of discouse as citeion laye, pakou as measue laye. Thei hieachical elations ae as Figue show: Among them, citeion laye weight and objective laye weight elationship is: a a a a a ; In citeion laye, factos espectively cove cetain weights, and weights ae not suely the same. Define citeion laye one facto popotion in entiety; the key is to quantify these weights. Constuct judgment matix Constuct judgment matix, the pape adopts factos paied compaison to establish paied matix such method. In citeion laye, facto ui and u j using c ij to epesent fome to latte influence level. Let all compaison esults expess by matix C that is judgment matix. Influence levels values ae using numbe to 9 as well its ecipocal. Evey numbes definition is as TABLE and TABLE show. Fom above TABLE, it can get judgment matix: C / / / 7 / / / 7 / / 7 7 Judgment matix consistency test Fo weight vecto A solution, due to decide by objective things complex and people geneated cognition divesity, in judgment matix constuction pocess, it will not seiously at wok, when calculating single citeion weight vecto, it should also cay out consistent test. Take matix A as an example to make algoithm design, as following show. It solves matix A maximum featue value max, its computational method is as following: max B A b b b b a a a a Figue : Hieachical elations figue Calculate consistency indicato CI, its computa- max n tional method is as fomula show: CI n In fomula, n epesents the numbe of citeions, which is also the numbe of factos, so to A matix,

5 Fuzzy evaluation to pakou social value eseach based on AHP impoved model BTAIJ, 0() 0 Level value n Calculate consistency popotion CR, its compu- CI tational method is as fomula show: CR RI In fomula RI epesents Random Consistency Index value, as TABLE show. Consistency judgment, when CR 0., judgment esult outputs it shows significant non-consistency, when CR 0., judgment esult outputs it shows consideable consistency. Matix consistency test indicato CI : max n. CI n Among them, n is matix ode, max epesents matix maximum featue value. When n, CI. is passing consistency test. Above calculation show, it passes consistency test. max. coesponding featue vecto TABLE : Numbe definition table Definition Indicates two factos have equal impotance by compaing Indicates the fome is slightly moe impotant than the late by compaing two factos Indicates the fome is obviously moe impotant than the late by compaing two factos 7 Indicates the fome is intensely moe impotant than the late by compaing two factos 9 Indicates the fome is extemely moe impotant than the late by compaing two factos Recipocal Even numbe Facto Two factos compaison, the compae odes ae opposite, then compaison value is in ecipocal elationships Indicates middle value of above adjacent judgment TABLE : Each facto influence degees list Body building value Economic value Cultual value Ecological value Moal quality value Body building value 7 Economic value 7 Cultual value / / Ecological value / / / Moal quality value /7 /7 / TABLE : RI epesentative value n RI To sum up, by above mathematical model calculation, it gets body building value, economic value, cultual value, ecological value, moal quality value weight coefficients ae espectively 0.,,0,0.8,0.07, A 0 Compound A and R, it gets: B b b b ), (, n Select evaluation composition opeato M (, ), B AOR (a,a O Among them, b a n )O n j n i n By calculation, it gets vecto B : B AOR (0., 0., 0.8,.0.07, 0.0) B ( 0.,,0,0.,0. ), m m m nm ( ai * ij ), j, m.

6 BTAIJ, 0() 0 Yulian Guo et al. Theeupon, it is clea that pakou social value should be evaluated as highe. CONCLUSIONS By analytic hieachy pocess, it defines body building value, economic value, cultual value, ecological value, moal quality value weight, futhe gets a quantization value by fuzzy mathematical evaluation model calculation, successively defines pakou values evaluation. It makes sue that pakou social value is highe. Pakou has cetain values in economy, cultue, body building, ecology and othe aspects. Pakou economic value, cultual value, ecological value, and moal quality value, all ae pulled by pakou body building value. Theefoe the spot social value is also up to pakou body building value, that is to say, spot cannot exist and develop without body building value. Pakou highe body building value decides lots of mass paticipating, and theeupon dives othe aspects values pomoting, and futhe pomotes social value. (00). [] Sun Zhan-Feng, Zhang Nan; Feasibility Study of Militay Academies to Cay out Pakou[J]. Jounal of Nanjing Institute of Physical Education,, (0). [] Guo Lisan; Psychological Analysis of Teenages Love of Pakou[J]. Boji (Wushukexue), 9, (0). [] Zhang Xingbo, Yao Yingxiang, Wu Hongyin; Pakou and its Developing Pospect in the Vocational Colleges[J]. Jounal of Hubei Spots Science, 9(), 7-7, 97 (00). [] Huang Xue-cheng, Lin Yan.Feasible Analysis on Pakou Spots Running into the College Campus[J]. Bulletin of Spot Science & Technology, 0(), (0). [6] Guo Lisan; Cool Running Campaign of Physical Chaacteistics and Taining Methods[J].Jounal of Hubei Spots Science, 8(), (009). REFERENCES [] Liu Lin-xing, Yang Jun; Feasible Study on Spot Education model Intoducing into College Spots Specialized Basketball Selective Couses[J]. Bulletin of Spot Science & Technology, 8(6), 6-7,