Table 16 Ideal solutions.
Criteria | \(\Upsilon ^{+}\) | \(\Upsilon ^{-}\) |
|---|---|---|
\(\chi _{1}\) | \(\left( \begin{array}{c} \left( \begin{array}{c} \left( 0.4,0.5,0.6\right) , \\ \left( 0.6,0.7\right) \end{array} \right) , \\ \left( \begin{array}{c} \left( 0.9\right) , \\ \left( 0.5\right) \end{array} \right) \end{array} \right)\) | \(\left( \begin{array}{c} \left( \begin{array}{c} \left( 0.4\right) , \\ \left( 0.5,0.6\right) \end{array} \right) , \\ \left( \begin{array}{c} \left( 0.3,0.4\right) , \\ \left( 0.8\right) \end{array} \right) \end{array} \right)\) |
\(\chi _{2}\) | \(\left( \begin{array}{c} \left( \begin{array}{c} \left( 0.2,0.4,0.5\right) , \\ \left( 0.5\right) \end{array} \right) , \\ \left( \begin{array}{c} \left( 0.6,0.7\right) , \\ \left( 0.3\right) \end{array} \right) \end{array} \right)\) | \(\left( \begin{array}{c} \left( \begin{array}{c} \left( 0.1\right) , \\ \left( 0.5,0.6\right) \end{array} \right) , \\ \left( \begin{array}{c} \left( 0.4,0.6,0.7\right) , \\ \left( 0.5,0.7\right) \end{array} \right) \end{array} \right)\) |
\(\chi _{3}\) | \(\left( \begin{array}{c} \left( \begin{array}{c} \left( 0.8\right) , \\ \left( 0.4,0.5,0.7\right) \end{array} \right) , \\ \left( \begin{array}{c} \left( 0.2,0.5\right) , \\ \left( 0.4,0.5\right) \end{array} \right) \end{array} \right)\) | \(\left( \begin{array}{c} \left( \begin{array}{c} \left( 0.4\right) , \\ \left( 0.3,0.7\right) \end{array} \right) \mathbf {,} \\ \left( \begin{array}{c} \left( 0.5\right) , \\ \left( 0.9\right) \end{array} \right) \end{array} \right)\) |
\(\chi _{4}\) | \(\left( \begin{array}{c} \left( \begin{array}{c} \left( 0.8\right) , \\ \left( 0.5\right) \end{array} \right) , \\ \left( \begin{array}{c} \left( 0.7\right) , \\ \left( 0.1,0.3,0.4\right) \end{array} \right) \end{array} \right)\) | \(\left( \begin{array}{c} \left( \begin{array}{c} \left( 0.6\right) \mathbf {,} \\ \left( 0.7\right) \end{array} \right) , \\ \left( \begin{array}{c} \left( 0.6,0.8,0.9\right) , \\ \left( 0.7,0.9\right) \end{array} \right) \end{array} \right)\) |