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Table 3 Revisit of Table 1 for trapezoidal fuzzy numbers

From: A democratic preference aggregation model

 

P

Q

R

(P Δ Q) ⇒ R

Inspectors 1 and 5

(0.45,0.48,

(0.61,0.65,

(0.45,0.48,

(1,1,1,1)

 

0.54,0.59)

0.71,0.75)

0.54,0.59)

 

Inspectors 2 and 4

(0.15,0.19,

(0.61,0.65,

(0.15,0.19,

(1,1,1,1)

 

0.27,0.31)

0.71,0.75)

0.27,0.31)

 

Inspector 3

(0.75,0.79,

(0.05,0.09,

(0.05,0.09,

(1,1,1,1)

 

0.85,0.89)

0.16,0.22)

0.16,0.22)

 

Average

(0.45,0.49,

(0.42,0.46,

(0.22,0.25,

(1,1,1,1)

 

0.55,0.60)

0.53,0.57)

0.32,0.37)

 

Majority

(θ 1 (x 1),θ 1(x 2),

(θ 2 (x 1),θ 2(x 2),

(θ 3(x 1),θ 3(x 2),

(1,1,1,1)

 

θ 1(x 3),θ 1 (x 4))

θ 2(x 3),θ 2(x 4))

θ 3(x 3),θ 3(x 4))