Table 1 Input data for this problem

\(\tilde {\tilde {a}}_{1}\)

(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)