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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21 3 V o l. 21 N o. 3 Co trol ad D eisio 2006 3 M ar. 2006 : 100120920 (2006) 0320267204 1, 1, 1, 2, 1 (1., 100083; 2., 330013) :,. 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 100083, Ch ia; 2. F iae Shoo ls, J iagxi Eoo is ad F iaial U iversity, N ahag 330013, Ch ia. Co rrespodet: SUN X ig, E2 ail: suxig @ 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,., : 2005201226; : 2005205208. : (70372011); (20030006009). : (1967),,,,, ; (1946),,,,,. 1994-2010 Chia Aadei Joural Eletroi Publishig House. All rights reserved. http://www.ki.et

268 21.,, 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 - 1994-2010 Chia Aadei Joural Eletroi Publishig House. All rights reserved. http://www.ki.et 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 : 269 5L (u h j, Κ) 5Κ (17) (18) [9 ] u h j u h j - 1 0. (18) 1. (19) [w i (rij - sih) ] 2 [w i (rij - sik) ] 2,. 3. 3 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 - 1 0. (23) 1. (24) [u k j (rij - sih) ] 2 [u k j (rij - skh) ] 2 3. 4 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. 3. 5 U, W S U, (11) w i sih. : Step 1: U, (19) S ; Step 2: U S (24), W. 3. 6 S, W U S, (11) u h j w i, (14) (24), 3. 4 U W. 4,. 2003 24 ( 1), 3., 6. 3. 4. 1, 24 ;,, 1. 1994-2010 Chia Aadei Joural Eletroi Publishig House. All rights reserved. http://www.ki.et

270 21 1 600766 ST 1. 079 66. 2 5. 181 6. 784-34. 54-30. 56 0. 02 0. 1 0. 88 000561 ST 1. 115 63. 05 2. 633 1. 376-53. 45-49. 25 0. 01 0. 08 0. 92 600053 ST 1. 211 76. 12 1. 283 6. 479-97. 93-58. 75 0 0. 05 0. 95 600137 ST 0. 329 64. 8 1. 732 0. 601-37. 97-12. 35 0. 08 0. 15 0. 77 000618 ST 0. 554 72. 99 5. 286 17. 19-15. 13-37. 68 0. 03 0. 12 0. 85 600893 ST 1. 297 59. 68 6. 146 9. 797-16. 13-24. 52 0. 05 0. 35 0. 6 000656 ST 0. 791 64. 73 2. 062 1. 552-10. 03-14. 11 0. 09 0. 36 0. 55 000699 ST 1. 127 70. 52 1. 018 0. 642-9. 54-5. 73 0. 1 0. 4 0. 5 000025 ST A 0. 705 78. 8 8. 149 14. 426 0. 73 2. 86 0. 15 0. 65 0. 2 600760 ST 2. 927 22. 66 1. 601 2. 748-18. 39-6. 71 0. 1 0. 5 0. 4 600769 ST 0. 982 24. 15 3. 309 4. 948-11. 27-5. 5 0. 1 0. 48 0. 42 000628 1. 194 67. 32 6. 81 20. 151 0. 64 0. 83 0. 3 0. 4 0. 3 600784 ST 1. 063 60. 8 0. 707 17. 282 4. 24 0. 72 0. 3 0. 5 0. 2 600689 1. 424 51. 06 5. 606 11. 53 0. 19 0. 26 0. 17 0. 52 0. 41 000404 2. 018 43. 41 1. 391 3. 306 0. 49 0. 17 0. 3 0. 4 0. 3 600839 2. 921 27. 7 4. 045 3. 903 0. 93 0. 68 0. 4 0. 5 0. 1 600135 4. 268 16 18. 24 10. 463 21. 92 14. 44 0. 9 0. 1 0 600112 2. 257 30. 12 1. 21 1. 765 5. 55 1. 9 0. 7 0. 25 0. 15 600750 5. 306 13. 8 5. 292 6. 584 11. 34 7. 69 0. 75 0. 2 0. 05 600772 1. 72 21. 07 4. 394 11. 508 4. 71 1. 75 0. 68 0. 25 0. 12 600523 1. 437 47. 13 2. 264 4. 344 5. 39 4. 79 0. 6 0. 3 0. 1 600133 1. 983 43. 24 1. 288 2. 993 10. 34 7. 87 0. 65 0. 3 0. 05 000983 2. 791 28. 51 3. 494 18. 633 12. 65 8. 61 0. 85 0. 13 0. 02 600855 1. 673 33. 76 4. 705 11. 781 15. 13 10. 53 0. 8 0. 19 0. 01 : : gh ttp: ggwww. stok star. o gho e. h t 2 600182 ST 0. 859 66. 83 1. 364 3. 015-20. 55-23. 4 000718 ST 0. 974 56. 77 3. 557 3. 843 0. 53 0. 36 000709 1. 239 48. 86 16. 641 9. 722 9. 07 13. 31 4. 2 24, 6, 24, 3. (14) 3 S S 0. 486 8 0. 252 4 0. 144 1 0. 243 5 0. 552 7 0. 772 5 0. 292 5 0. 184 0 0. 147 6 0. 453 0 0. 406 8 0. 300 7 0. 907 3 0. 791 9 0. 504 0 0. 900 1 0. 773 4 0. 388 6 4. 3 2003 3,. 2., (19), 3 3 U 3. 3 000182 ST 0. 063 7 0. 189 9 0. 746 4 000718 ST 0. 140 3 0. 669 4 0. 190 3 000709 0. 408 3 0. 393 5 0. 198 2 ST, ST,. (275 ) 1994-2010 Chia Aadei Joural Eletroi Publishig House. All rights reserved. http://www.ki.et

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): 982108. [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): 2232232. [3 ],,. [J ]., 2001, 12 (9): 102521029. (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): 102521029. ) [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): 1132137. [5 ],,. [J ]., 2004, 19 (1): 7211. ( 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): 7211. ) [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): 4792489. [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): 1052135. (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): 6562662. [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): 2202224. [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): 1072111. [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) : 4472482. [ 5 ]. [J ]., 2000, 21 (4): 50253. (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): 50253. ) J of [6 ],,. [J ]., 2002, 17 (5): 84287. (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): 84287. ) [7 ],. [J ]., 2004, 37 (5): 962100. (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): 962100. ) [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): 5912593. It A d vaes i E oo is [ 9 ]. [M ]. :, 1998. (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, 1998. ) 1994-2010 Chia Aadei Joural Eletroi Publishig House. All rights reserved. http://www.ki.et