Jawaban Quis Online SPK dengan Metode TOPSIS

No	Nama	C1	C2	C3	C4
1	Joko	3	3	3	2
2	Widodo	3	3	2	2
3	Simamora	4	4	1	1
4	Susilawati	1	4	2	1
5	Dian	2	3	4	2
6	Roma	2	2	4	2
7	Hendro	3	2	3	2

Dengan Nilai Bobot W = {3, 4, 5, 4}

Penyelesaian :

X1=7,21

X2=8,18

X3=7,68

X4=4,69

r11 = 0,416                                            r12 = 0,367

r21 = 0,416                                            r22 = 0,367

r31 = 0,555                                            r32 = 0,489

r41 = 0,139                                            r42 = 0,489

r51 = 0,277                                            r52 = 0,367

r61 = 0,277                                            r62 = 0,244

r71 = 0,416                                            r72 = 0,244

r13 = 0,391                                            r14 = 0,426

r23 = 0,260                                            r24 = 0,426

r33 = 0,130                                            r34 = 0,213

r43 = 0,260                                            r44 = 0,213

r53 = 0,521                                            r54 = 0,426

r63 = 0,521                                            r64 = 0,426

r73 = 0,391                                            r74 = 0,426

dengan matriks r :

          0,416            0,367            0,391               0,426

          0,416            0,367            0,260               0,426

          0,555            0,489            0,130               0,213

r =     0,139            0,489            0,260               0,213

          0,277            0,367            0,521               0,426

          0,277            0,244            0,521               0,426

          0,416            0,244            0,391               0,426

y_ij = W_i . r_ij  Dengan bobot {3, 4, 5, 4}

y11 = (3).0,416 = 1,248                        y12 = (4).0,367 = 1,468

y21 = (3).0,416 = 1,248                        y22 = (4).0,367 = 1,468

y31 = (3).0,555 = 1,665                        y32 = (4).0,489 = 1,956

y41 = (3).0,139 = 0,417                        y42 = (4).0,489 = 1,956

y51 = (3).0,277 = 0,831                        y52 = (4).0,367 = 1,468

y61 = (3).0,277 = 0,831                        y62 = (4).0,244 = 0,976

y71 = (3).0,416 = 1,248                        y72 = (4).0,244 = 0,976

y13 = (5).0,391 = 1,955                        y14 = (4).0,426 = 1,704

y23 = (5).0,260 = 1,3                            y24 = (4).0,426 = 1,704

y33 = (5).0,130 = 0,65                          y34 = (4).0,213 = 0,852

y43 = (5).0,260 = 1,3                            y44 = (4).0,213 = 0,852

y53 = (5).0,521 = 2,605                        y54 = (4).0,426 = 1,704

y63 = (5).0,521 = 2,605                        y64 = (4).0,426 = 1,704

y73 = (5).0,391 = 1,955                        y74 = (4).0,426 = 1,704

maka y yang ternormalisasi terbobot yaitu :

            1,248               1,468               1,955            1,704

            1,248               1,468               1,3                1,704

            1,665               1,956               0,65              0,852

y =       0,417               1,956               1,3                0,852

            0,831               1,468               2,605            1,704

            0,831               0,976               2,605            1,704

            1,248               0,976               1,955            1,704

Solusi Ideal Positif (A⁺)

y⁺₁ = max {1,248 ; 1,248 ; 1,665 ; 0,417 ; 0,831 ; 0,831 ; 1,248}

y⁺₁ = 1,248

y⁺₂ = max {1,468 ; 1,468 ; 1,956 ; 1,956 ; 1,468 ; 0,976 ; 0,976}

y⁺₂ = 1,956

y⁺₃ = min {1,955 ; 1,3 ; 0,65 ; 1,3 ; 2,605 ; 2,605 ; 1,955}

y⁺₃ = 0,65

y⁺₄ = max {1,704 ; 1,704 ; 0,852 ; 0,852 ; 1,704 ; 1,704 ; 1,704}

y⁺₄ = 1,704

A⁺ = 1,248 ; 1,956 ; 0,65 ; 1,704

Solusi Ideal Negatif (A^-)

y^-₁ = min {1,248 ; 1,248 ; 1,665 ; 0,417 ; 0,831 ; 0,831 ; 1,248}

y^-₁ = 0,417

y⁺₂ = min {1,468 ; 1,468 ; 1,956 ; 1,956 ; 1,468 ; 0,976 ; 0,976}

y^-₂ = 0,976

y^-₃ = max{1,955 ; 1,3 ; 0,65 ; 1,3 ; 2,605 ; 2,605 ; 1,955}

y^-₃ = 2,605

y^-₄ = min {1,704 ; 1,704 ; 0,852 ; 0,852 ; 1,704 ; 1,704 ; 1,704}

y^-₄ = 0,852

      A-   = 0,417 ; 0,976 ; 2,605 ; 0,852

Nilai Beasiswa Alternatif terbobot dengan solusi ideal positif.

D⁺₁ = 1,393

D⁺₂ = 0,813

D⁺₃ = 0,949

D⁺₄ = 1,356

D⁺₅ = 2,058

D⁺₆ = 2,218

D⁺₇ = 1,620

Nilai Beasiswa Alternatif terbobot dengan solusi ideal negatif.

D^-₁ = 1,442

D^-₂ = 1,833

D^-₃ = 2,518

D^-₄ = 1,632

D^-₅ = 1,067

D^-₆ = 0,947

D^-₇ = 1,356

Niai Preferensi Mahasiswa

V1 = 0,509

V2 = 0,693

V3 = 0,726

V4 = 0,546

V5 = 0,438

V6 = 0,299

V7 = 0,456

Jadi Mahasiswa yang mendapatkan beasiswa adalah Joko, Widodo, Simamora, Susilawati, dan Hendro.

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