Quiz Online Sistem Pendukung Keputusan

Alternatif	Kriteria
	C1	C2	C3	C4
Hendro	3	4	1	2
Joko	2	5	1	2
Doni	2	3	2	2
Dono	3	4	4	2
Kasino	2	3	2	2

V₁ = √3² + 2² + 2² + 3² + 2² = 5,477             V₃ = √1² + 1² + 2² + 4² + 2² = 5,099

R₁₁ = 3/5,477 = 0,547                                    R₁₃ = 1/5,099 = 0,196

R₂₁ = 2/5,477 = 0,365                                    R₂₃ = 1/5,099 = 0,196

R₃₁ = 2/5,477 = 0,365                                    R₃₃ = 2/5,099 = 0.392

R₄₁ = 3/5,477 = 0,547                                    R₄₃ = 4/5,099 = 0,784

R₅₁ = 2/5,477 = 0,365                                    R₅₃ = 2/5,099 = 0,392      

V₂ = √4² + 5² + 3² + 4² + 3² = 8,66                V₄ = √1² + 1² + 2² + 4² + 2² = 4,472

R₁₂ = 4/8,66 = 0,461                                       R_{14 =} 2/4,472 = 0,447

R₂₂ = 5/8,66 = 0,577                                       R_{24 =} 2/4,472 = 0,447

R₃₂ = 3/8,66 = 0,346                                       R_{34 =} 2/4,472 = 0,447

R₄₂ = 4/8,66 = 0,461                                       R_{44 =} 2/4,472 = 0,447

R₅₂ = 3/8,66 = 0,346                                       R_{54 =} 2/4,472 = 0,447

Matrik R

0,547   0,461   0,196  0,477 0,356   0,577   0,196  0,477 0,365   0,346   0,392  0,477 0,547   0,461   0,784  0,477 0,365   0,346   0,392  0,477

                                                           

Y₁₁ = W. r₁₁  = 4 * 0,547 = 2,188                            Y₁₃ = W. r₁₃= 4 * 0,196 = 0,784

Y₂₁ = W. r₂₁ = 4 * 0,365 = 1,46                              Y₂₃ = W. r₂₃ = 4 * 0,196 = 0,784

Y₃₁ = W. r₃₁ = 4*  0,365 = 1,46                              Y₃₃ = W. r₃₃ = 4*  0,392 = 1,568

Y₄₁ = W. r₄₁ = 4*  0, 537 = 2,186                           Y₄₃ = W. r₄₃ = 4*  0,784 = 3,316

Y₅₁ = W. r₅₁ = 4 * 0,365 = 1,46                              Y₅₃ = W. r₅₃ = 4 * 0,39 = 1,56

Y₁₂ = W. r₁₂  = 5*0,461= 2,305                               Y₁₄ = W. r₁₄= 3 *0,447 = 1,341

Y₂₂ = W. r₂₂=5*0,577= 2,305                                 Y₂₄ = W. r₂₄ = 3 *0,447 = 1,341

Y ₃₂ = W. r₃₂ = 5*0,346= 1,73                                Y₃₄ = W. r₃₄ = 3*0,477 = 1,341

Y₄₂ = W. r₄₂ = 5*0, 461= 2,305                              Y₄₄ = W. r₄₄ = 3*0,477 =1,341

Y₅₂ = W. r₅₂ = 5*0,346= 1,73                                 Y₅₄ = W. r₅₄ = 3* 0,477= 1,341

Matrik y

2,188    2,305   0,784   1,341 1,46      2,885   0,784   1,341 1,46      1,73     1,568   1,341 1,186    2,305   3,136   1,341 1,146    1,73     1,56     1,341

Y₁⁺= max=2,186                                                    Y₁^- = min = 1,146

Y₂⁺=max=2,885                                                     Y₂^- = min = 1,73

Y₃⁺=max=3,136                                                     Y₃^- = min = 0,784

Y₄⁺=max=1,341                                                     Y₄^- = min = 1,341

A⁺=  { 2,186 ; 2.885 , 3,136, 1,341 }                     A^-  =  { 1,146 ; 1,73 ; 0,784 ; 1,341 }

D₁⁺ = √(2,188 – 2,186)² + (2,305 – 2,885)² + (0,784 – 3,136)² + (1,341 – 1,341)²

       = 5,870

D₂⁺ = √(1,46 – 2,186)² + (2,885 – 2,885)² + (0,784 – 3,136)² + (1,341 – 1,341)²

       = 4,805

D₃⁺ = √(1.46 – 2,186)² + (1,73 – 2,885)² + (1,568 – 3,136)² + (1,341 – 1,341)²

       = 3,006

D₄⁺ = √(2,186 – 2,186)² + (2,305 – 2,885)² + (3,136 – 3,136)² + (1,341 – 1,341)²

       = 0,336

D₅⁺ = √(1,146 – 2,186)² + (1,73 – 2.885)² + (1,56 – 3,136)² + (1,341 – 1,341)²

       = 2,777

D₁^-  = (2,188 – 1,146)² + (2,305 – 1,73) ²  + (0,784 – 0,784)² + (1,341 – 1,341)²

          = 1,372

D₂^-  = (1,46 – 1,46)² + (2,885 – 1,73) ²  + (0,784 – 0,784)² + (1,341 – 1,341)²

          = 3,244

D₃^-  = (1,146 – 1,146)² + (1,73 – 1,73) ²  + (1,568 – 0,784)² + (1,341 – 1,341)²

          = 0,928

D₄^-  = (2,186 – 1,146)² + (2,305 – 1,73) ²  + (3,136 – 0,784)² + (1,341 – 1,341)²

          = 6,902

D₅^-  = (1,146 – 1,146)² + (1,73 – 1,73) ²  + (1,56 – 0,784)² + (1,341 – 1,341)²

          = 0,602

V₁ = 1,372 / (1,372 + 5,870) = 0,189

V₂ = 3,244 / (3,244 + 4,805) = 0,403

V₃ = 0,928  / (0,928 + 3,066) = 0,232

V₄ = 6,902 / (6,902 + 0,336) = 0,953

V₅ = 0,602 / (0,602 + 2,777) = 0,178