M odel D esign of En terpr ise Cr isis Early-warn ing Based on Fuzzy Recogn ition and Cluster ing

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1 21 3 V o l. 21 N o. 3 Co trol ad D eisio M ar : (2006) , 1, 1, 2, 1 (1., ; 2., ) :,. 3.. : ; ; : F270. 5: A M odel D esig of E terpr ise Cr isis Early-war ig Based o Fuzzy Reog itio ad Cluster ig SUN X ig 1, Q IU W a2hua 1, TA N G B ao2ju 1, 2, Q IA O H eg 1 (1. Shoo l of Eoo is ad M aage et, Beihag U iversity, Beijig , Ch ia; 2. F iae Shoo ls, J iagxi Eoo is ad F iaial U iversity, N ahag , Ch ia. Co rrespodet: SUN X ig, E2 ail: sohu. o ) Abstrat: To the p roble of lassifiatio ad reogitio of eterp rise risis degree the objetive reogitio fu2 tios i fuzzy oditio is established. T h ree odels of eterp rise risis early2w arig are desiged respetively, i w h ih the op ti al fuzzy lusterig eter atrix, op ti al fuzzy reogitio atrix ad op ti al idex w eigh t uder differet risis degree are so lved. A d th ree k ids of algo rith of fuzzy lusterig eter atrix, fuzzy reogitio atrix ad idex w eigh t are p rovided also. A ep irial ase show s the feasibility ad validity of the ethod. Key words: Fuzzy lusterig; Fuzzy reogitio; C risis early2w arig 1,.,,,.,.,,.,. D errig [1 ] ; Xu [24 ].,, 1997 [5 ] ; [6 ] ; [7 ]. 2,., : ; : : ( ); ( ). : (1967),,,,, ; (1946),,,,, Chia Aadei Joural Eletroi Publishig House. All rights reserved.

2 ,, X x 11 x 12 x 1 x 21 x 22 x 2 x 1 x 2 x (x ij). (1) : x ij j i, i 1, 2,,, j 1, 2,,.,, : rij x ij - x i ax - x i i x i i o r rij x i ax - x i ax - x ij x i i. (2) : x i ax i ; x i i i ; rij x ij, 0 rij 1. (2) (1) R r11 r12 r1 r21 r22 r2 r 1 r 2 r (rij). (3), U u 11 u 12 u 1 u 21 u 22 u 2 u 1 u 2 u (u h j). (4) : u h i j h, h 1, 2,,, j 1, 2,,. j h 1, h 0, (4) : 0 u h j 1, u h j 1, u h j > 0. (5) 0 sjh 1, sjh h i, S s11 s12 s1 s21 s22 s2 s 1 s 2 s 3 (sih) ċ (6), W (w 1, w 2,, w ), w i 1. (7) j h, w i (rj - sh) {[w i (rij - sih) ] p } 1gp, (8) p. j h, j h u h j, d (rj, sh) u h jw i (rj Chia Aadei Joural Eletroi Publishig House. All rights reserved. sh). (9), i{ F {u [ h j [w i (rij - sih) ] p ] 1gp } 2 }. j i (10). p 2, (10) i{ F {u 2 h j [[w i (rij - sih) ] 2 ]}}. j i (11) 3. 1 U, W, S U W,. u h j w i, (11) sih, i{f (sih) } h i i{ {u 2 h j df (sih) dsih 2 u 2 h jw 2 i sih - [w i (rij - sih) ] 2 }}, (12) 2 u 2 h jw 2 i rij 0, (13) sih u 2 h j rij u 2 h j. (14) 3. 2 w, S, U (11) i{f (u h j) } i{ {u 2 h j [w i (rij - sih) ] 2 }}. (15) (5), L (u h j, Κ) u 2 h j [ 5L (u h j, Κ) 5u h j [w i (rij - sih) ] 2 ] - Κ ( u h j - 1), (16) 2u h j[w i (rij - sih) ] 2 - Κ 0, (17)

3 3 : 269 5L (u h j, Κ) 5Κ (17) (18) [9 ] u h j u h j (18) 1. (19) [w i (rij - sih) ] 2 [w i (rij - sik) ] 2, U, S, W, (11) i{f (w i) } {u 2 h j [w i (rij - sih) ] 2 }. (20), (7), L (w i, Κ) u 2 h j [ [w i (rij - sih) ] 2 ] - Κ( w i - 1), (21) 5L (w i, Κ) 5w i 2w i 5L (w i, Κ) 5Κ (22) (23) [9 ] w i [u h j (rij - sih) ] 2 - Κ 0, (22) w i (23) 1. (24) [u k j (rij - sih) ] 2 [u k j (rij - skh) ] W, U S W, (11) u h j sih, (14) (19). : Step 1: S U Ε1 Ε2. Step 2: (5), (s 0 ih). (u 0 h j). Step 3: (s 0 ih) (19), Step 4: (u 0 h j) (14), (s 1 ih). Step 5: (s 1 ih) (19), (u 1 h j). Step 6: (u 1 h j) (u 0 h j), Ε2, axgu 1 k j - ; axgu 1 k j - u 0 k jg > Ε2, 2 u 0 k jg Ε1, (s 1 ih) (s 0 ih). Ε1, axgs 1 ik - 2 ; axgs 1 ik - s 0 ikg > Ε2, s 0 ikg Ε1,, (u 1 h j) (s 1 ih)., U S axgu k l j - u l- 1 k j g Ε1, axgs l ik - s l- 1 ik g Ε2, l U, W S U, (11) w i sih. : Step 1: U, (19) S ; Step 2: U S (24), W S, W U S, (11) u h j w i, (14) (24), 3. 4 U W. 4, ( 1), 3., , 24 ;,, Chia Aadei Joural Eletroi Publishig House. All rights reserved.

4 ST ST ST ST ST ST ST ST ST A ST ST ST : : gh ttp: ggwww. stok star. o gho e. h t ST ST , 6, 24, 3. (14) 3 S S ,. 2., (19), 3 3 U ST ST ST, ST,. (275 ) Chia Aadei Joural Eletroi Publishig House. All rights reserved.

5 3 : 275.,. (Referees) [ 1 ] Jayara U, K i Yougju, Jayra S, et al. R eo rgaiz2 ig CAD A sse bly M odels (as2desiged) fo r M aufa2 turig Si ulatios ad P laig (as2built) [J ]. of T ras the A SM E J of Co p u tig ad If or atio S iee i E g ieerig, 2004, 4 (2): [2 ] M ok SM, W u C H, L ee D T. M odelig A uto ati A s2 se bly ad D isasse bly Operatios fo r V irtual M au2 faturig [J ]. IE E E T ras o S y ste s, M a, Cy beret2 is, P art A, 2001, 31 (3): [3 ],,. [J ]., 2001, 12 (9): (She M, H e X Z, Zhag T C. A sse bly M odelig Based o A sse by Feature[J ]. Ch ia M ehaial E g i2 eerig, 2001, 12 (9): ) [4 ] A h adi R H, Kouvelis P. D esig of E letroi A sse 2 bly L ies: A A alytial F ra ew o rk ad Its A pp lia2 tio [ J ]. E u rop ea J of Op eratioal R esearh, 1999, 115 (1): [5 ],,. [J ]., 2004, 19 (1): ( Zheg G, T a M, Sog Y H. R esearh o H ybrid Syste s: A Survey[J ]. Cotrol ad D eisio, 2004, 19 (1): ) [6 ],,. [J ]., 1997, 15 (2): 125. (W u F, L iu W H, Zheg Y P. A O verview o H ybrid Syste R esearh [J ]. S y ste s E g ieerig, 1997, 15 (2): 125. ) [7 ] B lodel V D, T sitsik lis J N. Cop lexity of Stability ad Cotro llability of E le etary H ybrid Syste s [J ]. A u to atia, 1999, 35 (3): [8 ] H ey a M, L i F, M eyer G. Sythesis ad V iability of M ii ally Itervetive L egal Cotro llers fo r H ybrid Syste s [J ]. D isrete E vet Dy a i S y ste s: T heory ad A pp liatios, 1998, 8 (2): (270 ) 5,.,,.,.,,. (Referees) [1 ] Xu B, Fag C, W atso M D. C lusterig A alysis fo r Co tto T rash C lassifiatio [ J ]. T ex tile R esearh J, 1999, 69 (2): [2 ] H uag C C, Che I C. N eural2fuzzy C lassifiatio fo r Fabri D efets [J ]. T ex tile R esearh J, 2001, 71 (3): [3 ] Jeffrey K C, Sh ih C Y. A uto ati R eogitio of Fab2 ri W eave Patters by a Fuzzy C2M eas C lusterig M ethod[j ]. T ex tile R esearh J, 2004, 74 (2): [4 ] D errig R ihard A. Fuzzy T ehiques of Patter R eog2 itio i R isk ad C lai C lassifiatio [J ]. T he J of R isk ad Isu rae, 1995, 62 (9) : [ 5 ]. [J ]., 2000, 21 (4): (H u Y L. T he A pp liatio of Fuzzy R eogitio M odel fo r the Early W arig of the F iaial C risis[j ]. J iz hou T eahers Colleg e, 2000, 21 (4): ) J of [6 ],,. [J ]., 2002, 17 (5): (L iu Y N, Fu X Y, Zhag W S. Sho rt T er L oad Fo reastig M ethod Based o Fuzzy Patter R eogi2 tio ad Fuzzy C luster T heo ry [ J ]. J of E letriia T ehology, 2002, 17 (5): ) [7 ],. [J ]., 2004, 37 (5): (W eg S Q, Zhag H. A Study of D eter iatio Fo r the D evelop et Stage of Ch ia R eal E state M arket Based o the Fuzzy R eogitio T heo ry[j ]. J of B u ild 2 ig E g ieer, 2004, 37 (5): ) [8 ] Bezig Cyth ia. U sig D isri iat A alysis to P re2 dit F iaial D istress [J ]. R esearh, 2000, 6 (3): It A d vaes i E oo is [ 9 ]. [M ]. :, (Cheg S Y. E g ieer F uz zy S et T heory ad A pp lia2 tio [M ]. Beijig: N atioal D efee Idustry P ress, ) Chia Aadei Joural Eletroi Publishig House. All rights reserved.

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