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تصمیم گیری با معیار های جند گانه
تحلیل رابطه ای خاکستری

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Grey

  1. 1. 1
  2. 2. 2
  3. 3. DENG • • • 3
  4. 4. ••5
  5. 5. • • • ⊗∈[a,∞] •⊗∈(−∞,a) • ⊗∈[a,a] • 6
  6. 6. ⊗1 ∈ [a, b], a〈b;⊗ ∈ [c, d ], c〈d; 2⊗ + ⊗2∈[a + c,b + d ]; 1− ⊗ = [−b,−a];⊗1 − ⊗2 = ⊗1 + (− ⊗2 ) ∈ [a − d, b − 7 c];
  7. 7. • ab〉 o ⊗-1 ∈ [1/b,1/a];• ⊗1 ⋅ ⊗2 ∈ [min{ac, ad , bc, bd}, max{ac, ad , bc, bd}];• K ∈ℜ + K ⋅⊗∈[Ka, Kb] 8
  8. 8. •9
  9. 9. ξ∈ (o,1) • ɣoi ɣ (Xo , Xi )k ɣ (xo (k), xi (k)) ɣoi (k) 10
  10. 10. • •3 •4 •5 •6 •7 •8 • 11
  11. 11. (g/cm3) (Mpa) (GPA)[530, 580] [10, 20] [6, 9] [180,200] [25,35][380, 420] [10, 15] [1.2,4.2] [80,100] [5,15][330, 380] [1, 5] [1, 4] [3400,3600] [67,78][470, 530] [1, 2] [0.5, 3] [3900,4100] [345,355][220, 280] [9, 12] [0.5,2] [3500,3700] [115,125] 12
  12. 12. •• Wl ∊ [0.10,0.10],• w2 ∊[0.20,0.20],• w3 ∊[0.20,0.20],• w4 ∊[0.30, 0.30],• w5 ∊[0.40,0.40] 13
  13. 13. • Stiffness Tensile strength Density Elongation at break Max temp • • • • • • • •||Ai|| 355 4100 9 20 580||x||=max(max(|a1-|,|a1+|), max(|a2-|,|a2+|),…, max(|a3-|,|a3+|) 14
  14. 14. • Stiffness Tensile Density Elongation Max temp strength at break • • • 4 • 5 • 6 • 7 • Wi [0.1,0.1] [0.2,0.2] [0.2,0.2] [0.3,0.3] 8 [0.4,0.4] X3,2X3,2 [ =[0.8293,0.8781]||x||=max(max(180,200),) max(80,100,max(3400,3600),max(3900,4100), max(3500,3700) 15
  15. 15. • G1 G2 G3 G4 G5 •A1 •A2 • 4A3 • 5A4 • 6A5 • 7 Wi [0.1,0.1] [0.2,0.2] [0.2,0.2] [0.3,0.3] [0.4,0.4] • 8 X3,2 [0.8293*0.2,0.8781*0.2 =[0.1658,0.1756]X3,2 16
  16. 16. • G1 G2 G3 G4 G5 •A1 •A2 • 4A3 • 5A4 • 6A5 • 7 U0 [0.0972,0.1] [0. 9 ,0.2] [0.133,0.2] [0.15,0.225] [0.365,0.4] • 8 17
  17. 17. • • • • 4 • 5 • 6 • 7 • 8 X3,2=(ro2 - -0.1658)+(0.2-0.1756) 0.0488∆3,2 r3,2)= 18
  18. 18. • • • • 4ɣ(xo(k),x1(k)) 0.5383 0.3614 1.0000 1.000 1.0000 • 5ɣ(xo(k),x2(k)) 0.5233 0.3554 0.4918 0.7372 0.4959 • 6 • 7ɣ(xo(k),x3(k)) 0.5734 0.8116 0.4853 0.3688 0.4327 • 8ɣ(xo(k),x4(k)) 1.0000 1.0000 0.4514 0.3418 0.7348ɣ(xo(k),x5(k)) (0.6187) 0.8436 0.4309, 0.6091 0.3333 19 ɣ(xo(2),x3(2))= (0+0.5*(0.4207))/(0.0488+(0.5)*(0.4207))=0.8116
  19. 19. • • • •ɣ(xo,x1)=1/5 *(0.5383, 0.3614,1.0000,1.0000,1.0000)=0.7799 4 • 5ɣ(xo,x1)=1/5 *(0.5233, 0.3554, 0.4918, 0.7372, 0.4959)=0.5187 6 • • 7ɣ(xo,x1)=1/5 *(0.5734, 0.8117, 0.4853, 0.3688, 0.4327)= •0.5344 8ɣ(xo,x1)=1/5 *(1.0000,1.0000, 0.4514, 0.3418, 0.7348)=0.7056 20ɣ(xo,x1)=1/5 *(0.6187, 0.8436, 0.4309, 0.6091,
  20. 20. 21

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