Algoritm Utilitate ELECTRE, LEADER

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 de  Criterii de decizie Variante decizionale 1.  (mii  ) 2. Putere (CP) 3. Consum (l / 100 km) 1. Audi A4 20 130 7 2. Volkswagen Passat 18 170 6 3. Toyota Averis 19 120 5 4. Peuge ot 407 18 140 7 k i  0.34 0.16 0.5  1.    Pasul 1:  Pasul 2:  -    – criteriu de minim; -  puterea – criteriu de maxim; - consumul – criteriu de minim.  Pasul 3: ierarhizarea variantelor. u et Pr  u Putere  u Consum  U t  Ierarhie 1. Audi A4 2. Volkswagen Passat 3. Toyota Averis 4. Peugeot 407 k i  0.34 0.16 0.5  Pasul 4:   - în cazul criteriilor de minim: R R R R R u min max  j max  j  - în cazul criteriilor de maxim: R R R R R u min max min  j  j  u et Pr  u Putere  uConsum  Ut  Ierarhie 1. Audi A4 0 0.2 0 2. Volkswagen Passat 1 1 0.5 3. Toyota Averis 0.5 0 1 4. Peuge ot 407 1 0.4 0 k i  0.34 0.16 0.5

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  de 

Criterii de decizie

Variante decizionale

1.  (mii  €)

2. Putere

(CP)

3. Consum

(l / 100 km)

1. Audi A4 20 130 72. Volkswagen Passat 18 170 63. Toyota Averis 19 120 54. Peugeot 407 18 140 7k i   0.34 0.16 0.5

 

1.   

 Pasul 1:  Pasul 2: 

-    – criteriu de minim;-   puterea – criteriu de maxim;-  consumul – criteriu de minim.

 Pasul 3: ierarhizarea variantelor.

u etPr    uPutere   uConsum   U t   Ierarhie1. Audi A42. Volkswagen Passat3. Toyota Averis4. Peugeot 407k i   0.34 0.16 0.5

 Pasul 4:  

-  în cazul criteriilor de minim: R R R R R u

minmax

 jmax j

 

-  în cazul criteriilor de maxim: R R 

R R R u

minmax

min j j

 

u etPr    uPutere   uConsum   U t   Ierarhie1. Audi A4 0 0.2 02. Volkswagen Passat 1 1 0.53. Toyota Averis 0.5 0 14. Peugeot 407 1 0.4 0k i   0.34 0.16 0.5

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01820

2020Audiu etPr 

 

118201820

Passatu etPr 

 

5.01820

1920Toyotau etPr 

 

11820

1820Peugeotu etPr 

 

2.0120170

120130AudiuPutere

 

1120170120170

PassatuPutere

 

0120170

120120ToyotauPutere

 

4.0120170

120140PeugeotuPutere

 

057

77AudiuConsum

 

5.05767

PassatuConsum

 

157

57ToyotauConsum

 

057

77PeugeotuConsum

 

 Pasul 5: u*k U iit  

u etPr    uPutere   uConsum   Ut   Ierarhie1. Audi A4 0 0.2 0 0.0322. Volkswagen Passat 1 1 0.5 0.753. Toyota Averis 0.5 0 1 0.674. Peugeot 407 1 0.4 0 0.404k i   0.34 0.16 0.5

032.00*5.02.0*16.00*34.0AudiU t  

75.05.0*5.01*16.01*34.0PassatU t   67.01*5.00*16.05.0*34.0ToyotaUt   404.00*5.04.0*16.01*34.0PeugeotU t  

  Pasul 6: ecizionale, aranjându-le 

u etPr    uPutere   uConsum   Ut   Ierarhie1. Audi A4 0 0.2 0 0.032 IV2. Volkswagen Passat 1 1 0.5 0.75 I3. Toyota Averis 0.5 0 1 0.67 II

4. Peugeot 407 1 0.4 0 0.404 IIIk i   0.34 0.16 0.5

Passat > Toyota > Peugeot > Audi

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2.  Metoda ELECTRE

 Pasul 1:  u etPr    uPutere   uConsum  

1. Audi A4 0 0.2 02. Volkswagen Passat 1 1 0.53. Toyota Averis 0.5 0 14. Peugeot 407 1 0.4 0k i   0.34 0.16 0.5

 Pasul 2: 

k V,VC

i

'i

l jC ; VV;k k  l ji'i  

CC   1. Audi 2. Passat 3. Toyota 4. Peugeot1. Audi 1 0 0.16 0.52. Passat 1 1 0.5 13. Toyota 0.84 0.5 1 0.54. Peugeot 1 0.34 0.5 1

0000Passat,AudiCC   16.0016.00Toyota,AudiCC   5.05.000Peugeot,AudiCC  

15.016.034.0Audi,PassatCC   5.0016.034.0Toyota,PassatCC   15.016.034.0Peugeot,PassatCC  

84.05.0034.0Audi,ToyotaCC   5.05.000Passat,ToyotaCC   5.05.000Peugeot,ToyotaCC  

15.016.034.0Audi,PeugeotCC   34.00034.0Passat,PeugeotCC   5.0016.034.0Toyota,PeugeotCC

 Pasul 3: 

uu,0

uu,uumaxV,VC

 jl

 jl jll jC  

Cd   1. Audi 2. Passat 3. Toyota 4. Peugeot

1. Audi 0 1 1 12. Passat 0 0 0.5 03. Toyota 0.2 1 0 0.54. Peugeot 1 0.6 1 0

105.0,2.01,01maxPassat,AudiCd

101,0,05.0maxToyota,AudiCd

10,2.04.0,01maxPeugeot,AudiCd

 

00,0,0maxAudi,PassatCd   5.0)5.01(,0,0maxToyota,PassatCd

00,0,0maxPeugeot,PassatCd  

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2.00),02.0(,0maxAudi,ToyotaCd   10),01(),5.01(maxPassat,ToyotaCd

5.00),04.0(),5.01(maxPeugeot,ToyotaCd  

00,0,0maxAudi,PeugeotCd   6.05.0),4.01(,0maxPassat,PeugeotCd

1)01(,0,0maxToyota,PeugeotCd

 Pasul 4: 

CC dC   1. Audi 2. Passat 3. Toyota 4. Peugeot1. Audi 1 -1 -0.84 -0.52. Passat 1 1 0 13. Toyota 0.64 -0.5 1 04. Peugeot 1 -0.26 -0.5 1

  Pasul 5: (pornind de la datele prezentate în tabelulrealizat anterior)  -un alt tabel 1 când VV l j 0 când VV l j .

Audi Passat -1 (Passat, Audi) = 1 Passat > Audi  

Passat Audi 1 (Audi, Passat) = 0

Audi Toyota -0.84 Toyota > Audi

Toyota Audi 0.64

Audi Peugeot -0.5 Peugeot > Audi

Peugeot Audi 1

1. Audi 2. Passat 3. Toyota 4. Peugeot1. Audi 1 0 0 02. Passat 1 1 1 13. Toyota 1 0 1 14. Peugeot 1 0 0 1

 Pasul 6:

.

Total

1. Audi 12. Passat 43. Toyota 34. Peugeot 2

Passat > Toyota > Peugeot > Audi

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3.  Metoda LEADER 

 Pasul 1 u etPr    uPutere   uConsum  

1. Audi A4 0 0.2 02. Volkswagen Passat 1 1 0.53. Toyota Averis 0.5 0 14. Peugeot 407 1 0.4 0k i   0.34 0.16 0.5

 Pasul 2: 

VV,0VV,1

VV,2

dl j

l j

l j

ij  

Spre exemplu:   pt. criteriul „Pr  

Audi < Passat (0 < 1)     pe linia Audi, coloana Passat se va trece 0.   pe linia Passat, coloana Audi se va trece 2.

Audi < Toyota (0 < 0.5)     pe linia Audi, coloana Toyota se va tece 0; 

 pe linia Toyota, coloana Audi, se va trece 2.Audi < Peugeot (0 < 1)     pe linia Audi, coloana Peugeot se va trece 0;   pe linia Peugeot, coloana Audi se va trece 2.

Passat > Toyota (1 > 0.5)     pe linia Passat, coloana Toyota se va trece 2;   pe linia Toyota, coloana Passat se va trece 0.

decizie.

În fin 

2

0

1

0

2

2

2

0

1

0

2

0

2

2

2

2

MD etPr   

2

0

2

0

2

2

2

2

0

0

2

0

2

0

2

2

MDPutere  

2

2

2

1

0

2

0

0

0

2

2

0

1

2

2

2

MD etPr   

  Pasul 3: ate la pasul anterior.

MDMDMDMDT ConsumPutereetPr   

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62

5

1

46

4

2

12

6

0

54

6

6

MDT  

 Pasul 4:  

 

 

 

 

16

14

21

9

VDT  

 Pasul 5: 

  Passat > Peugeot > Toyota > Audi