Fuzzy Reasoning and Optimization Based on a Generalized Bayesian Network

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Berniece Stewart
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1 Fuy R O B G By Nw H-Y K D M Du M Hu Cu Uvy 48 Hu Cu R Hu 300 A By w v wy u w w uy. Hwv u uy u By w y u v w uu By w w w u vu vv y. T uy v By w w uy v v uy. B By w uy. T uy v uy. T w w w- uy. G By Nw; Fuy R; O; Suy C M R Bu Ov By w 988 C. 996 C y DAG w v u u w v u x y. T By w w y DAG y y y. Ty wy u w vu u uy T S 990 Du. 99 K. 000 Gá. 00. Sv v v v uv By w. Ex x uu w y uy 988 C. 996 C Mw u v v u y w w x 988 C Ry - x w y u u vu v w v 993. O w y

2 v y By w y: y SI y u u S. 990 C. 996 C T u v v By w:. A w v u.. A u u w uuy u. 3. D u -. T uy v By w w v uy uy u. B By w uy u w u w. T w By w w uy. Fu v vu. v T u By w u uy.. G By w Gy By w. BN= V L I V v L y w w L V V I u V u. I u uy By w x By w w. GBN = V L 3 I 3 y u uy w w x By w. Fu V x 4. V = { V V V } 4 D R U w V D V R w v By w V U uy w v. By 4 u u.

3 . u W y w- uv uy N. 00. C : A uvy uv uy u w u uy. O uu u-- w Fu N. 00. I Fu w v : u v u w v u. T w u w y w- uy. T Fu v T. Bu Fu w- uy y w. F L M U A E I N Q Cu B J O Z Su C G D H K S R Fu. A By w w- uy L VD = { Z} VR = { X Y } VU = { U} w X Y uy. F w u u v w vu. F x C {0 } y w w C = C = 0. O w u u uy. Evy uy Y * y y y y w y y w u u uy Y * y vu Y. T µ y * = µ y = 0 y y y y. Au Y Y y y u v v T T 3. Ry y u uy u H L Q. T

4 w w u uy uu u- x y u- M R 983 K 994. T. T Fu N Lv D S C A Cu u vy : : w B Su u : : w C Su R : : w E Cu D : : w F Cu B.O.M uy : : w G Su F y : : w H Su L w u : : w I Cu Su u : : w J Su Su : : w K Su u y : : w L Cu Su u : : w N Cu L u : : w O Su Su xy : : w Q Cu L u : : w R Su S-u : : w S Su Vu u : : w Z Su A : uu : x y 3 : x y w Fuy D Su S w M Cu Bu y w Cu S w U Cu Vu u w uy A u Cy C Cy S y y. T v u J = 0 u I = u B = C = G = 0 u y K = u xy O = 0 -u / R = u S =.

5 T. T u Fu C = 70 = 90 = 60 = 80 = 0 = 85 = 0 = 40 = 5 = 90 = 0 = 80 6 > = 05 6 = 90 = 80 =.00 = 0 = 50 = 0 = 50 = 60 = 99 = 00 = 50 = 60 = 80 = 50 9 = 0 8 = 90 = 0 = 50 = 00 = 70 = 60 = 95 6 > = 0 6 = 50 = 50 = 70 = 30 Fuy = = = = T 3. T u Z = = 0 = 60 = 0 = 0 Z = = 0 = 30 = 00 = 0 3 Z = 3 = 05 3 = 0 3 = 00 3 = 05 T Z uy U. T u w y S y u. T v u Z ={ 3 } w

6 v uu x uu y w u 3 x y w w uu. T u vy. T uy U = y M Bu y Z w v y u. T v x uy..3 D Nw Cy S u u vy y w v v Ĕ ={ĕ}= { B = C = G =0 I = J =0 K = O =0 R = S = }. T u w y x L = 5. ]. [ ] [ ] [ y x y x L = = = = 5 I Fu x I J N M L. I w x Fu x Fu. T u 5 vv y y u w u u uy. T u -u. T w u y y - y w. R : Av uv L ω ω. I v y u v y 6. = ω ω 6

7 I uv y u w. ω = γ 7 ω w γ y u uy. C C uy w u v 6. A E F I L M N U U U F L F L Q M M Q Q E E I N I N A A B J O Z B J O Z B J O Z C G H K S C G H K S C G H K S D R D R D R = = = Fu. T x y w Fu.4 Du F y X w y w X v w X u X X X. T vu X w y v v 0 y x wx x wx. T u v X vu w X v y x wx u y u 988. Sy y Y w Y y w Y y Y Y Y. F uy y w Y 8-. w = α 8 D w = α 9 M w = α 0 u = = ψ

8 w α ψ vu. I uy u w..5 A uy T y By w: -. T uy uy u u v GBN. u Su_ I = R CS FuyS EvS UwNS. R w UwNS: R UwN UwNS. IF UwN CS THEN X UwN. Ru SSu. ELSE Y UwN. Ru FuySu. E R. E. /* E u Su_ */ u FuySu /* uy uw */ S λ. /* λ-v u uy */ S y wy. /* 8- */ y [] SAMLE yλ w Y. =. E. /* E u FuySu */ u SSu /* uw */ X = w X = 0 w. X X IF RANDOM THEN X COUNT_X = COUNT_X. ELSE X 0 COUNT_X0 = COUNT_X0. BELX COUNT_X COUNT_X COUNT_X E. /* E u SSu */

9 3 Ru T uy λ-u uy 5 9. F vy v u w xu 000. T u w 3 u u w λ-v vy. T uu λ -v = 5 T 4. 3 BEL ĕ G uy N uy BEL ĕ G uy N uy BEL ĕ 3 G uy N uy T 4. T u uy λ -v = 5 = = = T 5. T u λ -v = 5 = = =3 C BEL ĕ BEL ĕ BEL ĕ BEL ĕ BEL ĕ BEL ĕ BEL ĕ Fuy BEL ĕ BEL ĕ T u x u u. B u 3 u x u v. Hwv u w v uy. H u y x u. T u uw λ -v = 5 T 5.

10 4 Cu T uy x By w By w w uy u y y u uy. D u w. T w v uy u w u By w. T u x u vu y u uy. 5 R C E. J.M. Gu A.S. H A Nw M Sy I By Nw. Nw 8:3-43. C E. J.M. Gu A.S. H Ex Sy Nw M. S-V I. Nw Y. Du. A. G E. Hv. 99. Dy Nw M F. 8 C Uy A I UAI 9 S Uvy S F CA M Ku u S F Gá S.F. F. Au F.J. Díé J. M. 00. NN M S Ny C w Nw Ev D T. A I M. 53: K H.Y. J.J. Su H.L. L. 00 R Suy C M. T 5 I C Iu E Tw. K D.L Cy Euv T- D-Du Ax. M S 406: M A.C. III T.R. R D Ax y Du. M S 9: N M.M.. Cu S.M. Dy D.R. Tw. 00. A Suy C D My: D V C. Cu Iu E. 43: J R I Sy: Nw u I. M Ku u I. J. 00 Cuy-M R I. C Uvy D Av-C Ay S A E By Nw w Ex. 3 I J C A I 3: S R.D. B. D'A B. DF. 99 "Sy I B Nw." 0 C Uy A I M Ku u S F T J.A. R.D. S. 99 Dy Iu D. IEEE T Sy M Cy. 0:

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