Table 15 The impact of the parameter \({\mu }\) and \(\beta\) on the decision result by ERUNS method.
From: Smart system for forecasting financial outcomes and supporting strategic choices
\(\Omega\) | r | \({M^{\kappa }}_{1}\) | \({M^{\kappa }}_{2}\) | \({M^{\kappa }}_{3}\) | \({M^{\kappa }}_{4}\) | \({M^{\kappa }}_{5}\) | \({M^{\kappa }}_{6}\) | \({M^{\kappa }}_{7}\) | \({M^{\kappa }}_{8}\) | Ranking |
|---|---|---|---|---|---|---|---|---|---|---|
\(\beta =0.1\) | \({\mu }=5\) | 0.3221 | 0.4644 | 0.3217 | 0.6901 | 0.3228 | 0.4103 | 0.4542 | 0.5371 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) |
\({\mu }=8\) | 0.3233 | 0.4659 | 0.3229 | 0.6917 | 0.3240 | 0.4118 | 0.4557 | 0.5387 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=10\) | 0.3244 | 0.4675 | 0.3240 | 0.6933 | 0.3251 | 0.4134 | 0.4573 | 0.5403 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=50\) | 0.3262 | 0.4698 | 0.3258 | 0.6957 | 0.3269 | 0.4158 | 0.4596 | 0.5427 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=100\) | 0.3279 | 0.4721 | 0.3276 | 0.6981 | 0.3287 | 0.4182 | 0.4620 | 0.5451 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\(\beta =0.5\) | \({\mu }=5\) | 0.3297 | 0.4745 | 0.3293 | 0.7005 | 0.3305 | 0.4206 | 0.4643 | 0.5475 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) |
\({\mu }=8\) | 0.3314 | 0.4768 | 0.3311 | 0.7029 | 0.3322 | 0.4230 | 0.4666 | 0.5499 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=10\) | 0.3326 | 0.4783 | 0.3322 | 0.7045 | 0.3334 | 0.4246 | 0.4682 | 0.5515 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=50\) | 0.3337 | 0.4799 | 0.3334 | 0.7061 | 0.3346 | 0.4262 | 0.4698 | 0.5531 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=100\) | 0.3354 | 0.4822 | 0.3352 | 0.7085 | 0.3363 | 0.4286 | 0.4721 | 0.5555 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\(\beta =0.7\) | \({\mu }=5\) | 0.3372 | 0.4845 | 0.3369 | 0.7109 | 0.3381 | 0.4310 | 0.4744 | 0.5579 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) |
\({\mu }=8\) | 0.3383 | 0.4861 | 0.3381 | 0.7125 | 0.3393 | 0.4326 | 0.4760 | 0.5595 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=10\) | 0.3395 | 0.4876 | 0.3393 | 0.7141 | 0.3405 | 0.4342 | 0.4776 | 0.5611 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=50\) | 0.3401 | 0.4884 | 0.3399 | 0.7149 | 0.3411 | 0.4350 | 0.4783 | 0.5619 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=100\) | 0.3412 | 0.4900 | 0.3410 | 0.7165 | 0.3422 | 0.4366 | 0.4799 | 0.5635 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\(\beta =0.9\) | \({\mu }=5\) | 0.3424 | 0.4915 | 0.3422 | 0.7181 | 0.3434 | 0.4382 | 0.4815 | 0.5651 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) |
\({\mu }=8\) | 0.3430 | 0.4923 | 0.3428 | 0.7189 | 0.3440 | 0.4390 | 0.4822 | 0.5659 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=10\) | 0.3436 | 0.4931 | 0.3434 | 0.7197 | 0.3446 | 0.4398 | 0.4830 | 0.5667 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=50\) | 0.3447 | 0.4946 | 0.3445 | 0.7213 | 0.3458 | 0.4414 | 0.4846 | 0.5683 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) | |
\({\mu }=100\) | 0.3465 | 0.4969 | 0.3463 | 0.7237 | 0.3475 | 0.4438 | 0.4869 | 0.5707 | \({M^{\kappa }}_{4} \succ {M^{\kappa }}_{8} \succ {M^{\kappa }}_{2} \succ {M^{\kappa }}_{7}\succ {M^{\kappa }}_{6} \succ {M^{\kappa }}_{5}\succ {M^{\kappa }}_{1} \succ {M^{\kappa }}_{3}\) |
