Table 16 The regret-rejoice values and ranking results with different parameter \(\beta\).
\(\beta\) | \({\mathbb{R}}\left( {o_{1} } \right)\) | \({\mathbb{R}}\left( {o_{2} } \right)\) | \({\mathbb{R}}\left( {o_{3} } \right)\) | \({\mathbb{R}}\left( {o_{4} } \right)\) | \({\mathbb{R}}\left( {o_{5} } \right)\) | Ranking |
|---|---|---|---|---|---|---|
\(\beta = 0.1\) | 0.0085 | 0.0102 | 0.0103 | − 0.0106 | 0.0101 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 0.2\) | 0.0168 | 0.0203 | 0.0205 | − 0.0214 | 0.0201 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 0.3\) | 0.0205 | 0.0302 | 0.0305 | − 0.0324 | 0.0300 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 0.4\) | 0.0330 | 0.0400 | 0.0403 | − 0.0435 | 0.0397 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 0.5\) | 0.0410 | 0.0496 | 0.0500 | − 0.0547 | 0.0492 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 0.6\) | 0.0488 | 0.0591 | 0.0596 | − 0.0662 | 0.0587 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 0.7\) | 0.0565 | 0.0685 | 0.0690 | − 0.0777 | 0.0679 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 0.8\) | 0.0640 | 0.0777 | 0.0783 | − 0.0895 | 0.0771 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 0.9\) | 0.0715 | 0.0868 | 0.0875 | − 0.1014 | 0.0861 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\beta = 1.0\) | 0.0788 | 0.0957 | 0.0965 | − 0.1135 | 0.0950 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
