Table 15 The regret-rejoice values and ranking results with different parameter \(\alpha\).
\(\alpha\) | \({\mathbb{R}}\left( {o_{1} } \right)\) | \({\mathbb{R}}\left( {o_{2} } \right)\) | \({\mathbb{R}}\left( {o_{3} } \right)\) | \({\mathbb{R}}\left( {o_{4} } \right)\) | \({\mathbb{R}}\left( {o_{5} } \right)\) | Ranking |
|---|---|---|---|---|---|---|
\(\alpha = 0.1\) | − 0.0172 | − 0.0160 | − 0.0159 | − 0.0283 | − 0.0162 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 0.2\) | − 0.0072 | − 0.0053 | − 0.0052 | − 0.0285 | − 0.0054 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 0.3\) | 0.0010 | 0.0037 | 0.0039 | − 0.0287 | 0.0036 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 0.4\) | 0.0077 | 0.0111 | 0.0113 | − 0.0288 | 0.0109 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 0.5\) | 0.0131 | 0.0171 | 0.0173 | − 0.0294 | 0.0169 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 0.6\) | 0.0175 | 0.0219 | 0.0221 | − 0.0301 | 0.0217 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 0.7\) | 0.0209 | 0.0256 | 0.0258 | − 0.0309 | 0.0254 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 0.8\) | 0.0234 | 0.0285 | 0.0287 | − 0.0317 | 0.0282 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 0.9\) | 0.0253 | 0.0306 | 0.0308 | − 0.0328 | 0.0303 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
\(\alpha = 1.0\) | 0.0266 | 0.0320 | 0.0323 | − 0.0334 | 0.0318 | \(o_{3} \succ o_{2} \succ o_{5} \succ o_{1} \succ o_{4}\) |
