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Table 8 Optimized values of objectives with respect to different spreads via GPT

From: Expectations of the reductions for type-2 trapezoidal fuzzy variables and its application to a multi-objective solid transportation problem via goal programming technique

Optimistic value (ξ 1)

    

θ l

θ r

Fuzzy

f 1

f 2

0.5

0.5

T2

334.4461

118.8946

0.7

0.3

T2

334.5625

119.4512

0.9

0.9

T2

327.1870

115.0227

0

0

T1

316.5965

141.4633

Pessimistic value (ξ 2)

    

θ l

θ r

Fuzzy

f 1

f 2

0.5

0.5

T2

334.9620

120.2972

0.7

0.3

T2

333.1573

120.4039

0.9

0.9

T2

330.3718

120.4579

0

0

T1

316.5965

141.4633

CV value (ξ 3)

    

θ l

θ r

Fuzzy

f 1

f 2

0.5

0.5

T2

336.5965

141.4633

0.7

0.3

T2

326.6765

141.4223

0.9

0.9

T2

316.5965

141.4633

0

0

T1

316.5965

141.4633