Table 15 The extended intersection \((\zeta _1,\xi _1,\rho _1,4)\)\(\check{\cap }_{e}\)\((\zeta _2,\xi _2,\rho _2,5)\)\(=\)\((\zeta _4,\xi _4,{\rho }_1\cup {\rho }_2,5)\) in Example 3.5
\((\zeta _4,\xi _4,{\rho }_1\cup {\rho }_2,5)\) | \(\varepsilon _1\) | \(\varepsilon _2\) | \(\varepsilon _3\) | \(\varepsilon _4\) |
|---|---|---|---|---|
\(\ell _1\) | \(\begin{array}{l} \langle 0, 0.2, 0.4 \rangle \\ \langle 3, 0.8, 0.3 \rangle \end{array}\) | \(\begin{array}{l} \langle 2, 0.6, 0.4 \rangle \\ \langle 2, 0.3, 0.5 \rangle \end{array}\) | \(\begin{array}{l} \langle 2, 0.7, 0.0 \rangle \\ \langle 0, 0.3, 0.3 \rangle \end{array}\) | \(\begin{array}{l} \langle 0, 0.0, 0.0 \rangle \\ \langle 4, 1.0, 0.0 \rangle \end{array}\) |
\(\ell _2\) | \(\begin{array}{l} \langle 1, 0.2, 0.5 \rangle \\ \langle 2, 0.4, 0.2 \rangle \end{array}\) | \(\begin{array}{l} \langle 1, 0.2, 0.9 \rangle \\ \langle 1, 0.2, 0.2 \rangle \end{array}\) | \(\begin{array}{l} \langle 1, 0.5, 0.2 \rangle \\ \langle 2, 0.2, 0.7 \rangle \end{array}\) | \(\begin{array}{l} \langle 1, 0.0, 0.5 \rangle \\ \langle 3, 0.7, 0.4 \rangle \end{array}\) |
\(\ell _3\) | \(\begin{array}{l} \langle 1, 0.2, 0.4 \rangle \\ \langle 0, 0.3, 0.3 \rangle \end{array}\) | \(\begin{array}{l} \langle 1, 0.1, 0.6 \rangle \\ \langle 2, 0.7, 0.1 \rangle \end{array}\) | \(\begin{array}{l} \langle 3, 0.6, 0.5 \rangle \\ \langle 0, 0.4, 0.1 \rangle \end{array}\) | \(\begin{array}{l} \langle 2, 0.5, 0.5 \rangle \\ \langle 2, 0.7, 0.3 \rangle \end{array}\) |
