Table 6 Alternative evaluation.

From: Smart system for forecasting financial outcomes and supporting strategic choices

Alternative

\(\mathbb {C}_{1}\)

\(\mathbb {C}_{2}\)

\({M^{\kappa }}_{1}\)

\(\left<0.7824\, e^{2\pi (0.6951)},\, 0.0573\, e^{2\pi (0.1284)},\, 0.1241\, e^{2\pi (0.2253)}\right>\)

\(\left<0.6650\, e^{2\pi (0.9853)},\, 0.0715\, e^{2\pi (0.1439)},\, 0.2035\, e^{2\pi (0.2635)}\right>\)

\({M^{\kappa }}_{2}\)

\(\left<0.4171\, e^{2\pi (0.9932)},\, 0.1105\, e^{2\pi (0.3471)},\, 0.4022\, e^{2\pi (0.6440)}\right>\)

\(\left<0.6821\, e^{2\pi (0.2707)},\, 0.0299\, e^{2\pi (0.0722)},\, 0.1323\, e^{2\pi (0.1323)}\right>\)

\({M^{\kappa }}_{3}\)

\(\left<0.7073\, e^{2\pi (0.7025)},\, 0.0491\, e^{2\pi (0.1122)},\, 0.1985\, e^{2\pi (0.1985)}\right>\)

\(\left<0.6115\, e^{2\pi (0.7412)},\, 0.0512\, e^{2\pi (0.1103)},\, 0.2034\, e^{2\pi (0.2034)}\right>\)

\({M^{\kappa }}_{4}\)

\(\left<0.7040\, e^{2\pi (0.9855)},\, 0.0617\, e^{2\pi (0.1190)},\, 0.2153\, e^{2\pi (0.2153)}\right>\)

\(\left<0.7198\, e^{2\pi (0.6123)},\, 0.0399\, e^{2\pi (0.0915)},\, 0.1703\, e^{2\pi (0.1703)}\right>\)

\({M^{\kappa }}_{5}\)

\(\left<0.6091\, e^{2\pi (0.9990)},\, 0.0971\, e^{2\pi (0.1872)},\, 0.2595\, e^{2\pi (0.3595)}\right>\)

\(\left<0.5992\, e^{2\pi (0.9951)},\, 0.0117\, e^{2\pi (0.3452)},\, 0.3794\, e^{2\pi (0.6794)}\right>\)

\({M^{\kappa }}_{6}\)

\(\left<0.6317\, e^{2\pi (1.0023)},\, 0.1084\, e^{2\pi (0.3290)},\, 0.2299\, e^{2\pi (0.6299)}\right>\)

\(\left<0.8618\, e^{2\pi (0.6650)},\, 0.0327\, e^{2\pi (0.0817)},\, 0.1565\, e^{2\pi (0.1565)}\right>\)

\({M^{\kappa }}_{7}\)

\(\left<0.6150\, e^{2\pi (0.9472)},\, 0.0689\, e^{2\pi (0.1345)},\, 0.2411\, e^{2\pi (0.2411)}\right>\)

\(\left<0.7254\, e^{2\pi (0.7001)},\, 0.0443\, e^{2pi(0.0997)},\, 0.1603\, e^{2\pi (0.1603)}\right>\)

\({M^{\kappa }}_{8}\)

\(\left<0.7189\, e^{2\pi (0.7248)},\, 0.0536\, e^{2\pi (0.1219)},\, 0.1361\, e^{2\pi (0.2111)}\right>\)

\(\left<0.6196\, e^{2\pi (0.7322)},\, 0.0475\, e^{2pi(0.1104)},\, 0.2001\, e^{2\pi (0.2001)}\right>\)

Alternative

\(\mathbb {C}_{3}\)

\(\mathbb {C}_{4}\)

\({M^{\kappa }}_{1}\)

\(\left<0.5927\, e^{2\pi (0.9854)},\, 0.1423\, e^{2\pi (0.2358)},\, 0.2812\, e^{2\pi (0.4812)}\right>\)

\(\left<0.8045\, e^{2\pi (0.9983)},\, 0.0531\, e^{2\pi (0.1187)},\, 0.2035\, e^{2\pi (0.2035)}\right>\)

\({M^{\kappa }}_{2}\)

\(\left<0.7319\, e^{2\pi (0.7031)},\, 0.0824\, e^{2\pi (0.1651)},\, 0.1205\, e^{2\pi (0.3205)}\right>\)

\(\left<0.7920\, e^{2\pi (0.7837)},\, 0.0608\, e^{2\pi (0.1273)},\, 0.2210\, e^{2\pi (0.2210)}\right>\)

\({M^{\kappa }}_{3}\)

\(\left<0.5678\, e^{2\pi (0.9936)},\, 0.0701\, e^{2\pi (0.1467)},\, 0.2685\, e^{2\pi (0.2685)}\right>\)

\(\left<0.6921\, e^{2\pi (0.9914)},\, 0.1074\, e^{2\pi (0.2031)},\, 0.3549\, e^{2\pi (0.3549)}\right>\)

\({M^{\kappa }}_{4}\)

\(\left<0.6518\, e^{2\pi (0.9951)},\, 0.0890\, e^{2\pi (0.1712)},\, 0.2139\, e^{2\pi (0.2839)}\right>\)

\(\left<0.7036\, e^{2\pi (0.4062)},\, 0.0583\, e^{2\pi (0.1251)},\, 0.2275\, e^{2\pi (0.2475)}\right>\)

\({M^{\kappa }}_{5}\)

\(\left<0.5345\, e^{2\pi (0.6789)},\, 0.0412\, e^{2\pi (0.0978)},\, 0.1797\, e^{2\pi (0.1797)}\right>\)

\(\left<0.5088\, e^{2\pi (0.9991)},\, 0.1896\, e^{2\pi (0.1749)},\, 0.3058\, e^{2\pi (0.3258)}\right>\)

\({M^{\kappa }}_{6}\)

\(\left<0.6382\, e^{2\pi (0.3158)},\, 0.0381\, e^{2\pi (0.0896)},\, 0.1751\, e^{2\pi (0.1751)}\right>\)

\(\left<0.4283\, e^{2\pi (0.9987)},\, 0.2005\, e^{2\pi (0.3361)},\, 0.4577\, e^{2\pi (0.6577)}\right>\)

\({M^{\kappa }}_{7}\)

\(\left<0.5014\, e^{2\pi (0.9457)},\, 0.1733\, e^{2\pi (0.1382)},\, 0.2542\, e^{2\pi (0.2542)}\right>\)

\(\left<0.6839\, e^{2\pi (0.7118)},\, 0.1460\, e^{2\pi (0.1019)},\, 0.1637\, e^{2\pi (0.1637)}\right>\)

\({M^{\kappa }}_{8}\)

\(\left<0.7610\, e^{2\pi (0.7314)},\, 0.0559\, e^{2\pi (0.1265)},\, 0.0185\, e^{2\pi (0.2185)}\right>\)

\(\left<0.5253\, e^{2\pi (0.7379)},\, 0.2490\, e^{2\pi (0.1133)},\, 0.2031\, e^{2\pi (0.2031)}\right>\)

Alternative

\(\mathbb {C}_{5}\)

\(\mathbb {C}_{6}\)

\({M^{\kappa }}_{1}\)

\(\left<0.6039\, e^{2\pi (0.8124)},\, 0.1234\, e^{2\pi (0.2247)},\, 0.3121\, e^{2\pi (0.3721)}\right>\)

\(\left<0.7493\, e^{2\pi (0.9991)},\, 0.1637\, e^{2\pi (0.1349)},\, 0.1548\, e^{2\pi (0.2548)}\right>\)

\({M^{\kappa }}_{2}\)

\(\left<0.5982\, e^{2\pi (0.9976)},\, 0.0891\, e^{2\pi (0.1912)},\, 0.3364\, e^{2\pi (0.1364)}\right>\)

\(\left<0.6077\, e^{2\pi (0.9985)},\, 0.0614\, e^{2\pi (0.1213)},\, 0.2132\, e^{2\pi (0.2132)}\right>\)

\({M^{\kappa }}_{3}\)

\(\left<0.5717\, e^{2\pi (0.3071)},\, 0.1349\, e^{2\pi (0.0788)},\, 0.2619\, e^{2\pi (0.1619)}\right>\)

\(\left<0.6848\, e^{2\pi (0.7872)},\, 0.1651\, e^{2\pi (0.1294)},\, 0.1603\, e^{2\pi (0.2303)}\right>\)

\({M^{\kappa }}_{4}\)

\(\left<0.6184\, e^{2\pi (1.0000)},\, 0.1098\, e^{2\pi (0.1983)},\, 0.2620\, e^{2\pi (0.3620)}\right>\)

\(\left<0.4028\, e^{2\pi (0.8294)},\, 0.1712\, e^{2\pi (0.3089)},\, 0.4980\, e^{2\pi (0.5980)}\right>\)

\({M^{\kappa }}_{5}\)

\(\left<0.5261\, e^{2\pi (0.7104)},\, 0.1475\, e^{2\pi (0.0974)},\, 0.1877\, e^{2\pi (0.1877)}\right>\)

\(\left<0.5570\, e^{2\pi (0.7945)},\, 0.1487\, e^{2\pi (0.2674)},\, 0.3693\, e^{2\pi (0.4693)}\right>\)

\({M^{\kappa }}_{6}\)

\(\left<0.4348\, e^{2\pi (0.9985)},\, 0.1845\, e^{2\pi (0.3198)},\, 0.3691\, e^{2\pi (0.6291)}\right>\)

\(\left<0.6294\, e^{2\pi (0.4451)},\, 0.0391\, e^{2\pi (0.1032)},\, 0.1875\, e^{2\pi (0.1875)}\right>\)

\({M^{\kappa }}_{7}\)

\(\left<0.6123\, e^{2\pi (0.9522)},\, 0.1689\, e^{2\pi (0.1395)},\, 0.2461\, e^{2\pi (0.2461)}\right>\)

\(\left<0.6202\, e^{2\pi (0.7133)},\, 0.1485\, e^{2\pi (0.1064)},\, 0.2662\, e^{2\pi (0.1662)}\right>\)

\({M^{\kappa }}_{8}\)

\(\left<0.6029\, e^{2\pi (0.7248)},\, 0.1527\, e^{2\pi (0.1197)},\, 0.2213\, e^{2\pi (0.2213)}\right>\)

\(\left<0.6351\, e^{2\pi (0.7425)},\, 0.1473\, e^{2\pi (0.1151)},\, 0.2045\, e^{2\pi (0.2045)}\right>\)

Alternative

\(\mathbb {C}_{7}\)

\(\mathbb {C}_{8}\)

\({M^{\kappa }}_{1}\)

\(\left<0.5127\, e^{2\pi (0.8173)},\, 0.1439\, e^{2\pi (0.2648)},\, 0.3381\, e^{2\pi (0.5381)}\right>\)

\(\left<0.6346\, e^{2\pi (0.7394)},\, 0.1512\, e^{2\pi (0.1145)},\, 0.2027\, e^{2\pi (0.2027)}\right>\)

\({M^{\kappa }}_{2}\)

\(\left<0.6114\, e^{2\pi (0.7791)},\, 0.1073\, e^{2\pi (0.1981)},\, 0.2594\, e^{2\pi (0.3594)}\right>\)

\(\left<0.5992\, e^{2\pi (0.5124)},\, 0.1831\, e^{2\pi (0.1710)},\, 0.2397\, e^{2\pi (0.3197)}\right>\)

\({M^{\kappa }}_{3}\)

\(\left<0.6481\, e^{2\pi (0.9887)},\, 0.1387\, e^{2\pi (0.0964)},\, 0.1689\, e^{2\pi (0.1689)}\right>\)

\(\left<0.4693\, e^{2\pi (0.8479)},\, 0.1695\, e^{2\pi (0.2993)},\, 0.2884\, e^{2\pi (0.5884)}\right>\)

\({M^{\kappa }}_{4}\)

\(\left<0.6065\, e^{2\pi (0.9965)},\, 0.1446\, e^{2\pi (0.1108)},\, 0.2042\, e^{2\pi (0.2042)}\right>\)

\(\left<0.5879\, e^{2\pi (1.0000)},\, 0.1297\, e^{2\pi (0.0751)},\, 0.2439\, e^{2\pi (0.1439)}\right>\)

\({M^{\kappa }}_{5}\)

\(\left<0.5725\, e^{2\pi (0.4582)},\, 0.1474\, e^{2\pi (0.1043)},\, 0.1978\, e^{2\pi (0.1978)}\right>\)

\(\left<0.6003\, e^{2\pi (0.9873)},\, 0.1389\, e^{2\pi (0.1359)},\, 0.2540\, e^{2\pi (0.2540)}\right>\)

\({M^{\kappa }}_{6}\)

\(\left<0.4372\, e^{2\pi (0.9971)},\, 0.1873\, e^{2\pi (0.3225)},\, 0.3247\, e^{2\pi (0.6247)}\right>\)

\(\left<0.5424\, e^{2\pi (0.7224)},\, 0.1680\, e^{2\pi (0.1385)},\, 0.2705\, e^{2\pi (0.2705)}\right>\)

\({M^{\kappa }}_{7}\)

\(\left<0.7048\, e^{2\pi (0.9342)},\, 0.0694\, e^{2\pi (0.1487)},\, 0.2498\, e^{2\pi (0.2498)}\right>\)

\(\left<0.6139\, e^{2\pi (0.7052)},\, 0.1508\, e^{2\pi (0.1123)},\, 0.1713\, e^{2\pi (0.1713)}\right>\)

\({M^{\kappa }}_{8}\)

\(\left<0.6303\, e^{2\pi (0.7207)},\, 0.1539\, e^{2\pi (0.1233)},\, 0.2227\, e^{2\pi (0.2227)}\right>\)

\(\left<0.8165\, e^{2\pi (0.7331)},\, 0.0458\, e^{2\pi (0.1125)},\, 0.2082\, e^{2\pi (0.2082)}\right>\)

Alternative

\(\mathbb {C}_{9}\)

\(\mathbb {C}_{10}\)

\({M^{\kappa }}_{1}\)

\(\left<0.5874\, e^{2\pi (0.8521)},\, 0.1217\, e^{2\pi (0.2739)},\, 0.2992\, e^{2\pi (0.4992)}\right>\)

\(\left<0.7923\, e^{2\pi (0.7150)},\, 0.0554\, e^{2\pi (0.1092)},\, 0.2101\, e^{2\pi (0.2101)}\right>\)

\({M^{\kappa }}_{2}\)

\(\left<0.6621\, e^{2\pi (0.7648)},\, 0.0998\, e^{2\pi (0.1920)},\, 0.1623\, e^{2\pi (0.3623)}\right>\)

\(\left<0.7104\, e^{2\pi (0.5217)},\, 0.0791\, e^{2\pi (0.1698)},\, 0.3312\, e^{2\pi (0.3312)}\right>\)

\({M^{\kappa }}_{3}\)

\(\left<0.6745\, e^{2\pi (0.9764)},\, 0.1423\, e^{2\pi (0.1011)},\, 0.1601\, e^{2\pi (0.1601)}\right>\)

\(\left<0.4582\, e^{2\pi (0.8384)},\, 0.1735\, e^{2\pi (0.3107)},\, 0.3731\, e^{2\pi (0.5731)}\right>\)

\({M^{\kappa }}_{4}\)

\(\left<0.7053\, e^{2\pi (0.9893)},\, 0.0487\, e^{2\pi (0.1152)},\, 0.1130\, e^{2\pi (0.2130)}\right>\)

\(\left<0.6221\, e^{2\pi (1.0000)},\, 0.1361\, e^{2\pi (0.0729)},\, 0.1347\, e^{2\pi (0.1347)}\right>\)

\({M^{\kappa }}_{5}\)

\(\left<0.6410\, e^{2\pi (0.4651)},\, 0.1496\, e^{2\pi (0.1075)},\, 0.1931\, e^{2\pi (0.1931)}\right>\)

\(\left<0.7040\, e^{2\pi (0.9823)},\, 0.1201\, e^{2\pi (0.1387)},\, 0.1313\, e^{2\pi (0.2513)}\right>\)

\({M^{\kappa }}_{6}\)

\(\left<0.4532\, e^{2\pi (0.9902)},\, 0.1845\, e^{2\pi (0.3178)},\, 0.3154\, e^{2\pi (0.6154)}\right>\)

\(\left<0.6009\, e^{2\pi (0.7311)},\, 0.1707\, e^{2\pi (0.1410)},\, 0.2232\, e^{2\pi (0.2732)}\right>\)

\({M^{\kappa }}_{7}\)

\(\left<0.7048\, e^{2\pi (0.9342)},\, 0.0694\, e^{2\pi (0.1487)},\, 0.2498\, e^{2\pi (0.2498)}\right>\)

\(\left<0.6139\, e^{2\pi (0.7052)},\, 0.1508\, e^{2\pi (0.1123)},\, 0.1713\, e^{2\pi (0.1713)}\right>\)

\({M^{\kappa }}_{8}\)

\(\left<0.4341\, e^{2\pi (0.7128)},\, 0.2253\, e^{2\pi (0.1217)},\, 0.3189\, e^{2\pi (0.2189)}\right>\)

\(\left<0.5132\, e^{2\pi (0.7265)},\, 0.1476\, e^{2\pi (0.1134)},\, 0.2044\, e^{2\pi (0.2044)}\right>\)