Research on Grey Cluster Evaluation Model and its Application of University Core Competence

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1 828 Procdns of th 7th Intrnatonal Confrnc on Innovaton & Manamnt Rsarch on Gry Clustr Evaluaton Modl and ts Alcaton of Unvrsty Cor Comtnc Zhan Fuson,2, Dao Zhaofn 2 Insttut of Cvl Ennrn and Archtctur, Wuhan Unvrsty of Tchnoloy, Wuhan,P.R.Chna, School of Manamnt, Wuhan Unvrsty of Tchnoloy,Wuhan,P.R.Chna, (E-mal:tj_tr@63.com,dzhaof@mal.whut.du.cn) Abstract Undr th backround of nformatonzaton, modrnzaton and lobalzaton of th hhr ducaton,th cor comtnc s th foundaton of unvrsty dvlomnt. How to assss and nhanc cor comttvnss s th stratc ntatvs to dtrmn th survval and dvlomnt of Unvrsty. Th uros of ths ar s to answr what ts consttunt lmnts s and how to valuat t Frstly, th artcl dtrmnd th nd systm of cor comttvnss valuaton of unvrsts on. th bass of analyzn ts consttunt lmnts. Scondly, accordn to th radn scor vn by dffrnt rts on th varous ndcators, th ndcator saml matr was structurd, th whtnn wht functon was stablshd and th ray clustrn valuaton coffcnt was dtrmnd. Lastly, th comrhnsv ry clustr valuaton of unvrsty cor comtnc was conductd by usn fd wht mthod. Th nnovatv onts of ths ar consst n havn stablshd th Gry clustrn valuaton modl of unvrsty cor comtnc and havn rovdd a nw judmnt standard n ordr to valuat ts cor comttvnss Ky words Unvrsty cor comtnc; Evaluaton ndcator ; Gry Clustr Evaluaton Modl Introducton Snc th U.S. manamnt rt C.K.Prahlad and Gray Haml (990) frst roosd cor comtnc thory, th thory has ncrasnly bcom contnun hot ssu of concrn of busnss manamnt and ducaton manamnt and many othr rsarch aras. In rcnt yars, th rsarch about unvrsty cor comtnc and ts valuaton has mad many valuabl thortcal rsults. For aml, Zhon Wdon (2007)stablshd valuaton modl of th unvrsty cor comtnc basd on th AHP. Chn Jn,Wan Pnf (2009) from th anl of ducaton, rsarch, and socal functons bult th valuaton systm of unvrsty cor comtnc..at a nw rsctv, ths artcl has studd unvrsty cor comtnc valuaton by usn ry systm thory n ordr to nhanc th cor comttvnss of Chns unvrsts and to rovd a usful das and mthods for ts valuaton. 2 Unvrsty Cor Comtnc Evaluaton Systm Unvrsty cor comtnc assssmnt s a mult-lvl mult-objctv roblm. Th frst roblm to b solvd s to slct valuatn ndcator. Accordn to th objctv rqurmnts and charactrstcs of unvrsty cor comtnc valuaton, th dsn rncls of valuatn ndcator manly hav fasblty rncls; comrhnsv rncls; sml rncl; comarablty rncl and contnuty rncl. In ordr to conduct a comrhnsv and ntratd assssmnt on th cor comtnc of unvrsty from four ascts such as dsclns comttvnss, scntfc rsarch comttvnss, studnt comttvnss and manamnt comttvnss w has stablshd. th ndcator systm of th unvrsty cor comtnc valuaton.th consttut of th scfc valuaton ndcators s as follows: () Subjct comttvnss valuaton nd (U ). It ncluds thr sub-ndcs such as th stratc oston of subjcts (V ), Acadmc chlon (V 2 ) and tachn qualty (V 3 ) (2) Scntfc rsarch comttvnss valuaton nd (U 2 ). It ncluds funds for scntfc rsarch (V 2 ), undrtakn scntfc rsarch rojct (V 22 ), ublshd monorahs and artcls ublshd (V 23 ), scntfc rsarch awards and ts transformaton condtons (V 24 ) th four sub-ndcs. (3) Studnt comttvnss nd (U 3 ). It ncluds th nrollmnt or matrculaton rat (V 3 ), studnt's scal and scfcaton (V 32 ), studnt's ovrall qualty (V 33 ), studnt's ractc nnovaton ablty (V 34 ), raduat's mloymnt rat (V 35 ), raduat's rst and socal satsfacton dr (V 36 ) th s sub-ndcators. (4) Manamnt comttvnss assssmnt nd (U 4 ). It ncluds stratc lannn and stratc

2 Procdns of th 7th Intrnatonal Confrnc on Innovaton & Manamnt 829 manamnt caacty (V 4 ), rsourc accss and us caacty (V 42 ), human rsourc manamnt caacty (V 43 ), camus cultural rconstructon (V 44 ) th four sub-ndcs. 3 Gry Clustr Evaluaton Modl of Unvrsty Cor Comtnc In ths ar a comrhnsv valuaton to th cor comttvnss of unvrsty has bn conductd by usn ry fd wht clustr valuaton mthod basd on tranl whtnn wht functon n th ray systm thory. In vw of th dffrnt valuaton of many dffrnt rts on mult ndcators, ray clustr valuatn law can rflcts th ovrall stat of unvrsty cor comttvnss wth a mor ralstc by constructn th nd saml matr, stablshn whtnn wht functon and dtrmnn ray clustr arasal coffcnt at ts ntraton. Adotn fd wht mthods may rsolv th roblms rsultn from snfcanc dffrnc, dmnson dffrnc and quantty dsarat of th ndcators. Hr s th ntroducton of ry clustr assssmnt mthod 3. Dtrmnaton of th nd st and ts wht st Dffrnt valuaton ndcators hav dffrnt nflunc dr on th ovrall oal of valuaton. So analytc hrarchy rncl can b ald to calculat th rlatv wht of ach nd n ordr to wh and comar th dr of dffrnc of th rol of dffrnt valuatn ndcator on nral objctv Suos th frst-lvl tart U has m tm (=,2,, m), ts wht vctor for η= (η, η 2, η m ). N sub-ndcators hav also bn st undr th frst-lvl ndcator V j (j =,2,..., n), th rlatv wht vctor of Ind V j rlatv to Ind U s as follows: w = ( w, w 2, L, wn ) 3.2 Evaluaton crtra st Aftr ndcator s stablshd, radn standard s ndd It s th radn rank of whn arasal ndcator ft or unft. As far as th qualtatv ndcators ar concrnd,thr ar dffrnt ways of dscrton on ts rad. In ths ar, th numbr of valuaton rads s 5 ( = 5), such as tachn qualty t valuatn ndcator bn dvdd nto 5 sub-ratn lvl: vry ood ood nral oor vry oor. On quanttatv ndcators, dffrnt furs ar usd to masur dffrnt valuatn lvls, such as arasal scor of ach valuatn lvls from ood to bad rsctvly bn as follows:5 onts, 4 onts, 3 onts, 2 onts and ont,th scor valus btwn adjacnt rad takn avra scor btwn ts radn standard. 3.3 Establshmnt of valuaton valu matr Suos P rsss th ratn rts, thr ar P rou of rts artcatn n th valuaton. As far as th frst lvl ndcator U s concrnd, makn j ( =,,..., m; j =,2,..., n; =,2,..., P) for ratn saml valus vn by th P rou of rts for valuaton V j., Th valu of ths samls consttuts th follown valuaton valu matr: 2 L 2 = 2 2 L 2 X L L L L 2 n n L n 3.4 Establshmnt of Evaluaton Whtnn Wht Functon Carryn out ry clustr assssmnt nds to dtrmn assssmnt ray catory (rvws ratn). If tak 5 lvls such as vry ood, ood, normal, oor, vry oor, thn th numbr of valuaton rads = 5.Th thrshold of dffrnt ry catory masurd wth dtal such as tak = 5, 2 = 4, 3 = 3, 4 = 2, 5 =, rsctvly rssd ratn standard valu of th 5-lvl and so on. Suos ry catory rad rsss wth, =,2,...,, th corrsondn numbr of ray and ts whtnn wht functon may b dscrbd as follows: () Th frst ray ty ( = ) ndcats th bst. St ry numbr [, ),ts whtnn wht functon s as follows: j f ( j ) =, j [0, ); f ( j ) =, j [, ); f ( j ) = 0, j [0, ). () (2) Intrmdat ray ty ( = 2,3,..., -). Th ry numbr [0,,2 ],ts whtnn wht functon s as follows: j f ( j ) =, j [0, ]; j f( j ) = 2, j [,2 ]; f ( j ) = 0, j [ 0,2 ]. (2)

3 830 Procdns of th 7th Intrnatonal Confrnc on Innovaton & Manamnt (3) G Gry ty ( = )ndcats th worst Th ry numbr [0,2 ],ts whtnn wht functon s as follows: f ( j ) =, j [0, ]; f = 2 j ( j ), j [,2 ]; ( ) 0 j = f, 0,2 ] (3) j [ 3.5 Calculaton of coffcnt matr of ray valuaton Dscrbd by th formr, j ndcats th saml valus of valuaton vn by valuator P for th valuatn ndcator V j. f ( j ) s th whtnn wht functon of ndcator V ry ty, W j s th wht of ndcator V j,thn : j = f( j ) (4) = It Is calld th ry valuaton coffcnt of ndcator V j blond to ry ty. 2 = (,, L, ) It s calld th coffcnt vctor of ry valuaton of th nd V j. j j j j 2 L 2 = 2 2 L 2 R It s calld th ry valuaton coffcnt matr of th nd U. L L L L 2 n n L n 3.6 Gry clustr valuaton Th comrhnsv balanc has bn carrd out by usn th rlatv wht vctor w = w, w, L, w ) of th sub-nd V j rlatv to ndcator U to t th ry clustr coffcnt of ( 2 n th frst lvl ndcator U blond to ry catory as follows: = w th ry clustr coffcnt vctor of th frst lvl ndcators U has bn obtand by th sam way 2 as abov: = (,, L, ), Th ray clustr coffcnt vctor of ach frst lvl nd consttuts ray clustr matr R ; thn ts comrhnsv balanc has bn conductd by usn th wht vctor η = ( η, η2, L, ηm) of U m ndcators, n th nd a comrhnsv clustrn rsults s obtand as follows: = η Smlarly, th comrhnsv clustrn rsults vctor can b ntratd as follows 2 = (,, L, ) Accordn to ry clustrn coffcnt vctor of frst lvl ndcator U and ntratd clustrn rsult vctor, n accordanc wth th rncl of mamum romty th attachd valuatn rank s dtrmnd. If = ma{ } or = ma{ } thn t blons to ry catory k. 4 Alcaton of Unvrsty Cor Comttvnss Gry Clustr Assssmnt Modl For th dtrmnaton of th ndcator systm whts n ths artcl, aftr havn ntratd th vws of rts w comlt t by usn th Dlh mthod (Dlh mthod) and Analytc Hrarchy Procss (AHP). Sac s lmtd so thr s no scfc dscrton nd wht calculaton. Ultmatly dtrmnd th wht of ach ndcator s as follows: η = (0.5,0.30,0.45,0.0); w = (0.30,0.30,0.40); w w 2 3 = (0.30,0.30,0.20,0.20); = (0.20,0.05,0.30,0.0,0.5,0.20); w4 = (0.20,0.30,0.20,0.30) Th Cor Comtnc of a unvrsty was nvstatd and fv rqustd rts carrd on radn to ach valuaton ndcator of cor comttvnss. Du to lmtd sac, hr dos not lst n dtals. Only takn th dscln comttvnss frst-lvl ndcator as th aml, lsts arasal valu matr X consttutd by 3 scondary ndcators of frst-lvl tart dscln comttvnss U.Th arranmnt has bn as follows: n j = j j =

4 Procdns of th 7th Intrnatonal Confrnc on Innovaton & Manamnt X = Th ry clustr comutaton s conductd throuh arasal valu matr X. For aml, on acadmc stratc oston th tart consttuton frst consdrs th frst ry catory( = ). Thn th scor valus vn by th fv rts ar ut nto th formula () and (4), and calculats ray clustrn coffcnt of ry catory = Smlarly, th ray clustrn coffcnt ( = 2, 3, 4, 5) 2 of othr ry catory 2,3,4,5 may b calculatd. Thy rsctvly ar = 0.85, 3 = 0.87, 4 = , 0 =.So th ray clustrn coffcnt vctor of "stratc oston of subjct "s obtand as follows: = (0.68, 0.85, 0.87, 0.30, 0) Wth th sam calculaton rocss as abov calculat th ray clustrn coffcnt vctor of "acadmc chlon" and "tachn qualty" blond to th U. Thn, th ry clustrn coffcnt matr of U s obtand by ntratn thm: R = wth wht vctor w = (0.30,0.30,0.40)of th frst lvl ndcator of U wh, t th ray clustrn rsult vctors = (0.62,0.77,0.87,0.46,0). Wth th sam way abov t th ry clustrn rsult vctor of th othr thr frst-lvl ndcators whch form th ray clustrn rsults matr as follows: R = Wth th wht vctor η = (0.5, 0.30, 0.45, 0.0 ) of th frst-lvl ndcators wh and t th comrhnsv nd systm ray clustrn rsult vctor = (0.6,0.66,0.75,0.56,0.04). Accordn to ma{ } = 0. 75,t can b sn from ths that valuaton rsult blons to th thrd-ray catory. Namly th comrhnsv lvl of th Unvrsty Cor Comttvnss s nral and stll nds to contnu to mrov and nhanc. 5 Concluson Makn an valuaton of th cor comtnc of unvrsty s to amn ts nflunc on th survval and dvlomnt of unvrsty from th anl of unvrsty stratc objctvs. As on knd of attmt, n ths artcl th dscusson to th comrhnsv valuaton of th unvrsty cor comttvnss has bn mad by usn ry clustr mthod. On th on hand th rsnt stuaton of th unvrsty cor comttvnss thorouhly has bn amnd and comard wth th unvrsty dvlomnt oals, th qustons stn n th cor comttvnss cultvaton rocss has bn dscovrd. On th othr hand, th rnc and lssons n th rocss of th cor comttv cultvaton hav bn summd u, combnd wth th nw ralty,accordn to facn th nw nvronmnt and nw tasks,th unvrsty may r-dtrmn th drcton of dvlomnt of cor comtncs. Ths artcl has rovdd a nw mthod for th unvrsty to conduct an objctv assssmnt of cor comtncs and th valuaton systm of unvrsty cor comtnc wll b mrovd furthr. Rfrncs [] Prahalad C.K,Haml G..Th Cor Comtnc of th Cororaton.Harvard Busnss Rvw, 990 [2] Zhon Wdon. Rsarch about Evaluaton Modl of th Unvrsty Cor Comtnc basd on AHP[J]. Chna's Hhr Educaton Rsarch,2007,(2):29-3(In Chns) [3] Jn Chn, Wan Pnf. On cor comtnc of Hhr Educaton Insttutons[J]. Hhr Ennrn Educaton Rsarch,2009,(5):77-80 (In Chns) [4] Dn Julon. Gray Systm Fundamntal Mthod [M] Wuhan: Huazhon Unvrsty of Scnc and

5 832 Procdns of th 7th Intrnatonal Confrnc on Innovaton & Manamnt Tchnoloy Prss,988 (In Chns ) [5] Fu L. Gry Systm Thory and ts Alcaton [M]. Bjn: Scnc and Tchnoloy Ltratur Prss, 992 (In Chns ) [6] Ln W, Lu Ynz, Hu Qnson. Entrrs Informatonal Gry Clustr Evaluaton Modl and Its Alcaton [J]. Scnc and Tchnoloy Prorss and Polcy,2003(6):29-30 (In Chns)

COMPLEX NUMBER PAIRWISE COMPARISON AND COMPLEX NUMBER AHP

ISAHP 00, Bal, Indonsa, August -9, 00 COMPLEX NUMBER PAIRWISE COMPARISON AND COMPLEX NUMBER AHP Chkako MIYAKE, Kkch OHSAWA, Masahro KITO, and Masaak SHINOHARA Dpartmnt of Mathmatcal Informaton Engnrng