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Table 2 Optimistic value (ξ 1) of f 1 and f 2 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

μ 1

μ 2

f 1

f 2

0.1

0.1

337.1185

151.4548

 

0.5

337.1185

151.5363

 

0.9

340.49

122.5435

0.5

0.1

325.6547

137.1486

 

0.5

325.6446

137.1561

 

0.9

327.1125

115.3108

0.9

0.1

296.1603

173.051

 

0.5

299.6982

150.2512

 

0.9

330.7623

119.9491