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Table 1 Input data for this problem

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

\(\tilde {\tilde {a}}_{1}\) (28.8,30.4,34.5,37.9,0.5,1) \(\tilde {\tilde {b}}_{1}\) (12.8,14.8,16.8,17.8,0.5,1)
\(\tilde {\tilde {a}}_{2}\) (30.9,33.9,36.9,40,0.5,1) \(\tilde {\tilde {b}}_{2}\) (14.4,16.8,18.6,21,0.5,1)
\(\tilde {\tilde {c}}_{111}\) (7,9,11,12,0.5,1) \(\tilde {\tilde {c}}_{112}\) (5,7,9,10,0.5,1)
\(\tilde {\tilde {c}}_{121}\) (6,7,10,12,0.5,1) \(\tilde {\tilde {c}}_{122}\) (5,8,12,14,0.5,1)
\(\tilde {\tilde {c}}_{211}\) (6.9,8.9,10.9,10,0.5,1) \(\tilde {\tilde {c}}_{212}\) (4.9,6.9,8.9,10,0.5,1)
\(\tilde {\tilde {c}}_{221}\) (6.9,7.9,10.9,10,0.5,1) \(\tilde {\tilde {c}}_{222}\) (5.9,8.9,12.9,10,0.5,1)
\(\tilde {\tilde {t}}_{111}\) (4,5,7,8,0.5,1) \(\tilde {\tilde {t}}_{112}\) (6,8,10,12,0.5,1)
\(\tilde {\tilde {t}}_{121}\) (3,4,6,7,0.5,1) \(\tilde {\tilde {t}}_{122}\) (5,6,8,9,0.5,1)
\(\tilde {\tilde {t}}_{211}\) (4.9,5.9,7.9,8.9,0.5,1) \(\tilde {\tilde {t}}_{212}\) (6.9,8.9,10.9,12.9,0.5,1)
\(\tilde {\tilde {t}}_{221}\) (3.9,4.9,6.9,7.9,0.5,1) \(\tilde {\tilde {t}}_{222}\) (5.9,6.9,8.9,9.9,0.5,1)
\(\tilde {\tilde {d}}_{111}\) (0.8,1,2,2.5,0.5,1) \(\tilde {\tilde {d}}_{112}\) (1,2,4,5,0.5,1)
\(\tilde {\tilde {d}}_{121}\) (1,1.5,3.5,6,0.5,1) \(\tilde {\tilde {d}}_{122}\) (0.8,1.9,3,4.9,0.5,1)
\(\tilde {\tilde {d}}_{211}\) (0.8,1.9,2.9,2.5,0.5,1) \(\tilde {\tilde {d}}_{212}\) (1.9,2,4.9,5.9,0.5,1)
\(\tilde {\tilde {d}}_{221}\) (1.9,1.5,3.5,6,0.5,1) \(\tilde {\tilde {d}}_{222}\) (0.8,1,3,4,0.5,1)
\(\tilde {\tilde {e}}_{1}\) (51,55,50,52,0.5,1) \(\tilde {\tilde {e}}_{2}\) (56,52,54,56,0.5,1)