Table 14 The regret-rejoice values and ranking results with different parameter \(q\).
\(p\) | \({\mathbb{R}}\left( {o_{1} } \right)\) | \({\mathbb{R}}\left( {o_{2} } \right)\) | \({\mathbb{R}}\left( {o_{3} } \right)\) | \({\mathbb{R}}\left( {o_{4} } \right)\) | \({\mathbb{R}}\left( {o_{5} } \right)\) | Ranking |
---|---|---|---|---|---|---|
\(q = 4\) | 0.0250 | 0.0302 | 0.0305 | − 0.0305 | 0.0300 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(q = 5\) | 0.0181 | 0.0217 | 0.0219 | − 0.0229 | 0.0216 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(q = 6\) | 0.0125 | 0.0146 | 0.0147 | − 0.0153 | 0.0147 | \(o_{3} = o_{5} \succ o_{2} \succ o_{1} \succ o_{4}\) |
\(q = 7\) | 0.0084 | 0.0095 | 0.0095 | − 0.0100 | 0.0096 | \(o_{5} \approx o_{3} = o_{2} \succ o_{1} \succ o_{4}\) |
\(q = 8\) | 0.0055 | 0.0059 | 0.0060 | − 0.0063 | 0.0060 | \(o_{3} = o_{5} \approx o_{2} \approx o_{1} \succ o_{4}\) |
\(q = 9\) | 0.0035 | 0.0037 | 0.0037 | − 0.0040 | 0.0037 | \(o_{3} = o_{2} = o_{5} \approx o_{1} \succ o_{4}\) |
\(q = 10\) | 0.0022 | 0.0022 | 0.0022 | − 0.0025 | 0.0022 | \(o_{3} = o_{2} = o_{5} = o_{1} \succ o_{4}\) |